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102210102122022 = 232139389105016349
BaseRepresentation
bin10111001111010110100100…
…110101000101011000100110
3111101220012010202101000221200
4113033112210311011120212
5101344102242120401042
61001214401145223330
730346302420210156
oct2717264465053046
9441805122330850
10102210102122022
112a627074043a34
12b569004491b46
1345054a98c127b
141b34dd12ca766
15bc3abca52c4c
hex5cf5a4d45626

102210102122022 has 48 divisors (see below), whose sum is σ = 223621815690000. Its totient is φ = 33737972023872.

The previous prime is 102210102121999. The next prime is 102210102122047. The reversal of 102210102122022 is 220221201012201.

It is a happy number.

It is a super-3 number, since 3×1022101021220223 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 102210102121986 and 102210102122004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51534897 + ... + 53481452.

It is an arithmetic number, because the mean of its divisors is an integer number (4658787826875).

Almost surely, 2102210102122022 is an apocalyptic number.

102210102122022 is an abundant number, since it is smaller than the sum of its proper divisors (121411713567978).

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

102210102122022 is a wasteful number, since it uses less digits than its factorization.

102210102122022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105016885 (or 105016882 counting only the distinct ones).

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

Adding to 102210102122022 its reverse (220221201012201), we get a palindrome (322431303134223).

The spelling of 102210102122022 in words is "one hundred two trillion, two hundred ten billion, one hundred two million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 139 278 389 417 778 834 1167 1251 2334 2502 3501 7002 54071 108142 162213 324426 486639 973278 105016349 210032698 315049047 630098094 945147141 1890294282 14597272511 29194545022 40851359761 43791817533 81702719522 87583635066 122554079283 131375452599 245108158566 262750905198 367662237849 735324475698 5678339006779 11356678013558 17035017020337 34070034040674 51105051061011 102210102122022