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2201012221122 = 23211135316133851
BaseRepresentation
bin100000000001110110100…
…011010011010011000010
321210102012022210200210200
4200001312203103103002
5242030133112033442
64403044150310030
7315006064123041
oct40016643232302
97712168720720
102201012221122
11779498022770
122b66a2658316
1312c7294ac250
147875b180558
153c3c024934c
hex200768d34c2

2201012221122 has 96 divisors (see below), whose sum is σ = 5708285908416. Its totient is φ = 604051344000.

The previous prime is 2201012221117. The next prime is 2201012221123. The reversal of 2201012221122 is 2211222101022.

It is a happy number.

2201012221122 is a `hidden beast` number, since 220 + 101 + 2 + 221 + 122 = 666.

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 = 2201012221095 and 2201012221104.

It is not an unprimeable number, because it can be changed into a prime (2201012221123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7930504 + ... + 8203347.

It is an arithmetic number, because the mean of its divisors is an integer number (59461311546).

Almost surely, 22201012221122 is an apocalyptic number.

2201012221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2201012221122 is an abundant number, since it is smaller than the sum of its proper divisors (3507273687294).

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

2201012221122 is a wasteful number, since it uses less digits than its factorization.

2201012221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16133936 (or 16133933 counting only the distinct ones).

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

Adding to 2201012221122 its reverse (2211222101022), we get a palindrome (4412234322144).

The spelling of 2201012221122 in words is "two trillion, two hundred one billion, twelve million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 53 66 78 99 106 117 143 159 198 234 286 318 429 477 583 689 858 954 1166 1287 1378 1749 2067 2574 3498 4134 5247 6201 7579 10494 12402 15158 22737 45474 68211 136422 16133851 32267702 48401553 96803106 145204659 177472361 209740063 290409318 354944722 419480126 532417083 629220189 855094103 1064834166 1258440378 1597251249 1710188206 1887660567 2307140693 2565282309 3194502498 3775321134 4614281386 5130564618 6921422079 7695846927 9406035133 11116223339 13842844158 15391693854 18812070266 20764266237 22232446678 28218105399 33348670017 41528532474 56436210798 66697340034 84654316197 100046010051 122278456729 169308632394 200092020102 244556913458 366835370187 733670740374 1100506110561 2201012221122