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102221011030212 = 223217167027795801
BaseRepresentation
bin10111001111100000101111…
…000011010001000011000100
3111101221020022000101222201100
4113033200233003101003010
5101344242112310431322
61001223403441100100
730350136642332214
oct2717405703210304
9441836260358640
10102221011030212
112a630761915138
12b56b149927630
1345065279a3a29
141b35748048244
15bc400a5ebdac
hex5cf82f0d10c4

102221011030212 has 36 divisors (see below), whose sum is σ = 273591529523676. Its totient is φ = 32069336793600.

The previous prime is 102221011030211. The next prime is 102221011030217. The reversal of 102221011030212 is 212030110122201.

102221011030212 is a `hidden beast` number, since 10 + 22 + 210 + 110 + 302 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94093414430976 + 8127596599236 = 9700176^2 + 2850894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (102221011030211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83513897289 + ... + 83513898512.

It is an arithmetic number, because the mean of its divisors is an integer number (7599764708991).

Almost surely, 2102221011030212 is an apocalyptic number.

102221011030212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102221011030212 is an abundant number, since it is smaller than the sum of its proper divisors (171370518493464).

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

102221011030212 is a wasteful number, since it uses less digits than its factorization.

102221011030212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167027795828 (or 167027795823 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102221011030212 its reverse (212030110122201), we get a palindrome (314251121152413).

The spelling of 102221011030212 in words is "one hundred two trillion, two hundred twenty-one billion, eleven million, thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 167027795801 334055591602 501083387403 668111183204 1002166774806 1503250162209 2004333549612 2839472528617 3006500324418 5678945057234 6013000648836 8518417585851 11357890114468 17036835171702 25555252757553 34073670343404 51110505515106 102221011030212