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111322102010121 = 32378211623125087
BaseRepresentation
bin11001010011111100110010…
…010110001001000100001001
3112121011021210200201200101200
4121103330302112021010021
5104042400131103310441
61032432400114134413
732306520315263442
oct3123746226110411
9477137720650350
10111322102010121
113251a490472752
121059ab76881409
134a168243b62a2
141d6c038a222c9
15cd0b23bb67b6
hex653f32589109

111322102010121 has 48 divisors (see below), whose sum is σ = 165362428428288. Its totient is φ = 72113660553600.

The previous prime is 111322102010111. The next prime is 111322102010129. The reversal of 111322102010121 is 121010201223111.

It is a happy number.

111322102010121 is a `hidden beast` number, since 1 + 1 + 132 + 210 + 201 + 0 + 121 = 666.

It is not a de Polignac number, because 111322102010121 - 26 = 111322102010057 is a prime.

It is a super-2 number, since 2×1113221020101212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111322102010094 and 111322102010103.

It is not an unprimeable number, because it can be changed into a prime (111322102010129) 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, 4437429240 + ... + 4437454326.

It is an arithmetic number, because the mean of its divisors is an integer number (3445050592256).

Almost surely, 2111322102010121 is an apocalyptic number.

It is an amenable number.

111322102010121 is a deficient number, since it is larger than the sum of its proper divisors (54040326418167).

111322102010121 is a wasteful number, since it uses less digits than its factorization.

111322102010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42182 (or 42179 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 111322102010121 its reverse (121010201223111), we get a palindrome (232332303233232).

The spelling of 111322102010121 in words is "one hundred eleven trillion, three hundred twenty-two billion, one hundred two million, ten thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 333 821 2463 7389 16231 25087 30377 48693 75261 91131 146079 225783 273393 600547 928219 1801641 2784657 5404923 8353971 13325651 20596427 39976953 61789281 119930859 185367843 407187097 493049087 762067799 1221561291 1479147261 2286203397 3664683873 4437441783 6858610191 15065922589 45197767767 135593303301 334300606637 1002901819911 3008705459733 12369122445569 37107367336707 111322102010121