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210010122211122 = 2353491901651323
BaseRepresentation
bin101111110000000011001010…
…101110111100111100110010
31000112120202211111120220200000
4233300003022232330330302
5210011301212241223442
62022353152424410430
762143505414234532
oct5760031256747462
91015522744526600
10210010122211122
1160a0887a043402
121b679451016a16
139024b3c52402c
1439c07892094c2
151942ca2980d4c
hexbf00cabbcf32

210010122211122 has 96 divisors (see below), whose sum is σ = 473476334385600. Its totient is φ = 69765965236800.

The previous prime is 210010122211063. The next prime is 210010122211133. The reversal of 210010122211122 is 221112221010012.

210010122211122 is a `hidden beast` number, since 210 + 0 + 1 + 0 + 122 + 211 + 122 = 666.

It is a super-2 number, since 2×2100101222111222 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 210010122211095 and 210010122211104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322110553 + ... + 322761875.

It is an arithmetic number, because the mean of its divisors is an integer number (4932045149850).

Almost surely, 2210010122211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210010122211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236738167192800).

210010122211122 is an abundant number, since it is smaller than the sum of its proper divisors (263466212174478).

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

210010122211122 is a wasteful number, since it uses less digits than its factorization.

210010122211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653590 (or 653578 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210010122211122 its reverse (221112221010012), we get a palindrome (431122343221134).

The spelling of 210010122211122 in words is "two hundred ten trillion, ten billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 349 486 698 1047 1901 2094 3141 3802 5703 6282 9423 11406 17109 18846 28269 34218 51327 56538 84807 102654 153981 169614 307962 461943 651323 663449 923886 1302646 1326898 1953969 1990347 3907938 3980694 5861907 5971041 11723814 11942082 17585721 17913123 35171442 35826246 52757163 53739369 105514326 107478738 158271489 161218107 227311727 316542978 322436214 454623454 681935181 1238165023 1363870362 2045805543 2476330046 3714495069 4091611086 6137416629 7428990138 11143485207 12274833258 18412249887 22286970414 33430455621 36824499774 55236749661 66860911242 100291366863 110473499322 200582733726 300874100589 432119593027 601748201178 864239186054 1296358779081 2592717558162 3889076337243 7778152674486 11667229011729 23334458023458 35001687035187 70003374070374 105005061105561 210010122211122