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212021112072 = 233711313700969
BaseRepresentation
bin1100010101110101110…
…0010110110100001000
3202021021010010110011110
43011131130112310020
511433204401041242
6241222352130320
721214036500660
oct3053534266410
9667233113143
10212021112072
1181a10432670
12351115369a0
1316cbb966343
14a3948371a0
1557ad9b539c
hex315d716d08

212021112072 has 128 divisors (see below), whose sum is σ = 682162790400. Its totient is φ = 53293939200.

The previous prime is 212021112071. The next prime is 212021112109. The reversal of 212021112072 is 270211120212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (212021112071) 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, 1793197 + ... + 1907772.

It is an arithmetic number, because the mean of its divisors is an integer number (5329396800).

Almost surely, 2212021112072 is an apocalyptic number.

212021112072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212021112072 is an abundant number, since it is smaller than the sum of its proper divisors (470141678328).

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

212021112072 is a wasteful number, since it uses less digits than its factorization.

212021112072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701027 (or 3701023 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 212021112072 its reverse (270211120212), we get a palindrome (482232232284).

The spelling of 212021112072 in words is "two hundred twelve billion, twenty-one million, one hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 62 66 77 84 88 93 124 132 154 168 186 217 231 248 264 308 341 372 434 462 616 651 682 744 868 924 1023 1302 1364 1736 1848 2046 2387 2604 2728 4092 4774 5208 7161 8184 9548 14322 19096 28644 57288 3700969 7401938 11102907 14803876 22205814 25906783 29607752 40710659 44411628 51813566 77720349 81421318 88823256 103627132 114730039 122131977 155440698 162842636 207254264 229460078 244263954 284974613 310881396 325685272 344190117 458920156 488527908 569949226 621762792 688380234 803110273 854923839 917840312 977055816 1139898452 1262030429 1376760468 1606220546 1709847678 2279796904 2409330819 2524060858 2753520936 3212441092 3419695356 3786091287 4818661638 5048121716 6424882184 6839390712 7572182574 8834213003 9637323276 10096243432 15144365148 17668426006 19274646552 26502639009 30288730296 35336852012 53005278018 70673704024 106010556036 212021112072