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210220221020112 = 24332812903596537
BaseRepresentation
bin101111110011000110110101…
…100110010011011111010000
31000120022212010122120020202000
4233303012311212103133100
5210023222003040120422
62023033500351154000
762164624022525412
oct5763066546233720
91016285118506660
10210220221020112
1160a89993377236
121b6b2106815900
13903b8b2b48014
1439ca9da6109b2
15194849c7cecac
hexbf31b59937d0

210220221020112 has 160 divisors (see below), whose sum is σ = 605766872367360. Its totient is φ = 69799866071040.

The previous prime is 210220221020111. The next prime is 210220221020189. The reversal of 210220221020112 is 211020122022012.

It is a happy number.

210220221020112 is a `hidden beast` number, since 2 + 10 + 220 + 221 + 0 + 201 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210220221020111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352102708 + ... + 352699244.

It is an arithmetic number, because the mean of its divisors is an integer number (3786042952296).

Almost surely, 2210220221020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210220221020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302883436183680).

210220221020112 is an abundant number, since it is smaller than the sum of its proper divisors (395546651347248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210220221020112 is a wasteful number, since it uses less digits than its factorization.

210220221020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599738 (or 599726 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210220221020112 its reverse (211020122022012), we get a palindrome (421240343042124).

The spelling of 210220221020112 in words is "two hundred ten trillion, two hundred twenty billion, two hundred twenty-one million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 281 432 562 843 1124 1686 2248 2529 2903 3372 4496 5058 5806 6744 7587 8709 10116 11612 13488 15174 17418 20232 23224 26127 30348 34836 40464 46448 52254 60696 69672 78381 104508 121392 139344 156762 209016 313524 418032 596537 627048 815743 1193074 1254096 1631486 1789611 2386148 2447229 3262972 3579222 4772296 4894458 5368833 6525944 7158444 7341687 9544592 9788916 10737666 13051888 14316888 14683374 16106499 19577832 21475332 22025061 28633776 29366748 32212998 39155664 42950664 44050122 58733496 64425996 85901328 88100244 117466992 128851992 167626897 176200488 257703984 335253794 352400976 502880691 670507588 1005761382 1341015176 1508642073 1731746911 2011522764 2682030352 3017284146 3463493822 4023045528 4525926219 5195240733 6034568292 6926987644 8046091056 9051852438 10390481466 12069136584 13853975288 15585722199 18103704876 20780962932 24138273168 27707950576 31171444398 36207409752 41561925864 46757166597 62342888796 72414819504 83123851728 93514333194 124685777592 187028666388 249371555184 374057332776 486620881991 748114665552 973241763982 1459862645973 1946483527964 2919725291946 3892967055928 4379587937919 5839450583892 7785934111856 8759175875838 11678901167784 13138763813757 17518351751676 23357802335568 26277527627514 35036703503352 52555055255028 70073407006704 105110110510056 210220221020112