Search a number
-
+
102222010200222 = 233111131522928551
BaseRepresentation
bin10111001111100001101010…
…100110110011000010011110
3111101221022212122112002022000
4113033201222212303002132
5101344301134102401342
61001224050532503130
730350203464205263
oct2717415246630236
9441838778462260
10102222010200222
112a631124921380
12b56b38847aaa6
1345066569b01a3
141b35800a1b26a
15bc40681b744c
hex5cf86a9b309e

102222010200222 has 64 divisors (see below), whose sum is σ = 250003951096320. Its totient is φ = 30702239568000.

The previous prime is 102222010200187. The next prime is 102222010200223. The reversal of 102222010200222 is 222002010222201.

102222010200222 is a `hidden beast` number, since 1 + 0 + 22 + 220 + 1 + 0 + 200 + 222 = 666.

It is a super-2 number, since 2×1022220102002222 (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 = 102222010200195 and 102222010200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222010200223) 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, 761397154 + ... + 761531397.

It is an arithmetic number, because the mean of its divisors is an integer number (3906311735880).

Almost surely, 2102222010200222 is an apocalyptic number.

102222010200222 is an abundant number, since it is smaller than the sum of its proper divisors (147781940896098).

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

102222010200222 is a wasteful number, since it uses less digits than its factorization.

102222010200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522928686 (or 1522928680 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102222010200222 its reverse (222002010222201), we get a palindrome (324224020422423).

The spelling of 102222010200222 in words is "one hundred two trillion, two hundred twenty-two billion, ten million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 113 198 226 297 339 594 678 1017 1243 2034 2486 3051 3729 6102 7458 11187 22374 33561 67122 1522928551 3045857102 4568785653 9137571306 13706356959 16752214061 27412713918 33504428122 41119070877 50256642183 82238141754 100513284366 150769926549 172090926263 301539853098 344181852526 452309779647 516272778789 904619559294 1032545557578 1548818336367 1893000188893 3097636672734 3786000377786 4646455009101 5679000566679 9292910018202 11358001133358 17037001700037 34074003400074 51111005100111 102222010200222