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22102441012134 = 2327454738578447
BaseRepresentation
bin1010000011010001000000…
…01001010010101110100110
32220020222021010010222000100
411001220200021102232212
510344111244344342014
6115001415441324530
74440564043533630
oct501504011225646
986228233128010
1022102441012134
11705165781851a
12258b726936746
13c44335ca2902
14565a9a025a50
15284e06526009
hex141a20252ba6

22102441012134 has 48 divisors (see below), whose sum is σ = 54741891829248. Its totient is φ = 6313594158576.

The previous prime is 22102441012049. The next prime is 22102441012147. The reversal of 22102441012134 is 43121014420122.

22102441012134 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 2 + 441 + 0 + 1 + 213 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22102441012098 and 22102441012107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18716302 + ... + 19862145.

It is an arithmetic number, because the mean of its divisors is an integer number (1140456079776).

Almost surely, 222102441012134 is an apocalyptic number.

22102441012134 is an abundant number, since it is smaller than the sum of its proper divisors (32639450817114).

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

22102441012134 is a wasteful number, since it uses less digits than its factorization.

22102441012134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38583009 (or 38583006 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22102441012134 its reverse (43121014420122), we get a palindrome (65223455432256).

The spelling of 22102441012134 in words is "twenty-two trillion, one hundred two billion, four hundred forty-one million, twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 4547 9094 13641 27282 31829 40923 63658 81846 95487 190974 286461 572922 38578447 77156894 115735341 231470682 270049129 347206023 540098258 694412046 810147387 1620294774 2430442161 4860884322 175416198509 350832397018 526248595527 1052497191054 1227913389563 1578745786581 2455826779126 3157491573162 3683740168689 7367480337378 11051220506067 22102441012134