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210213100032 = 2931337284527
BaseRepresentation
bin1100001111000110101…
…1010101101000000000
3202002121010000220220120
43003301223111220000
511421004023200112
6240323124140240
721121163603565
oct3036153255000
9662533026816
10210213100032
11811728a6441
12348a7b37680
1316a911cc530
14a26267686c
155704dc7e8c
hex30f1ad5a00

210213100032 has 160 divisors (see below), whose sum is σ = 619401522432. Its totient is φ = 62932598784.

The previous prime is 210213099991. The next prime is 210213100037. The reversal of 210213100032 is 230001312012.

It is a junction number, because it is equal to n+sod(n) for n = 210213099984 and 210213100020.

It is not an unprimeable number, because it can be changed into a prime (210213100037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596553 + ... + 881079.

Almost surely, 2210213100032 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 210213100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309700761216).

210213100032 is an abundant number, since it is smaller than the sum of its proper divisors (409188422400).

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

210213100032 is a wasteful number, since it uses less digits than its factorization.

210213100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284598 (or 284582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 210213100032 its reverse (230001312012), we get a palindrome (440214412044).

The spelling of 210213100032 in words is "two hundred ten billion, two hundred thirteen million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 512 592 624 768 832 888 962 1184 1248 1443 1536 1664 1776 1924 2368 2496 2886 3328 3552 3848 4736 4992 5772 6656 7104 7696 9472 9984 11544 14208 15392 18944 19968 23088 28416 30784 46176 56832 61568 92352 123136 184704 246272 284527 369408 569054 738816 853581 1138108 1707162 2276216 3414324 3698851 4552432 6828648 7397702 9104864 10527499 11096553 13657296 14795404 18209728 21054998 22193106 27314592 29590808 31582497 36419456 42109996 44386212 54629184 59181616 63164994 72838912 84219992 88772424 109258368 118363232 126329988 136857487 145677824 168439984 177544848 218516736 236726464 252659976 273714974 336879968 355089696 410572461 437033472 473452928 505319952 547429948 673759936 710179392 821144922 946905856 1010639904 1094859896 1347519872 1420358784 1642289844 1893811712 2021279808 2189719792 2695039744 2840717568 3284579688 4042559616 4379439584 5390079488 5681435136 6569159376 8085119232 8758879168 13138318752 16170238464 17517758336 26276637504 35035516672 52553275008 70071033344 105106550016 210213100032