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22133022033122 = 27111339292813809
BaseRepresentation
bin1010000100001001111101…
…11010101000010011100010
32220100220012100201210100022
411002010332322220103202
510400111412120024442
6115023434150553442
74443025630114340
oct502047672502342
986326170653308
1022133022033122
11706361aa27190
122595640368882
13c4719a849ac0
1456735b6b6990
15285ae616e3d2
hex14213eea84e2

22133022033122 has 64 divisors (see below), whose sum is σ = 44586957945600. Its totient is φ = 7957899233280.

The previous prime is 22133022033119. The next prime is 22133022033181.

22133022033122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 22133022033091 and 22133022033100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6458954 + ... + 9272762.

It is an arithmetic number, because the mean of its divisors is an integer number (696671217900).

Almost surely, 222133022033122 is an apocalyptic number.

22133022033122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22133022033122 is an abundant number, since it is smaller than the sum of its proper divisors (22453935912478).

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

22133022033122 is a wasteful number, since it uses less digits than its factorization.

22133022033122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817771.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2213302 and 2033122, that added together give a palindrome (4246424).

The spelling of 22133022033122 in words is "twenty-two trillion, one hundred thirty-three billion, twenty-two million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 3929 7858 27503 43219 51077 55006 86438 102154 302533 357539 561847 605066 715078 1123694 2813809 3932929 5627618 7865858 19696663 30951899 36579517 39393326 61903798 73159034 216663293 256056619 402374687 433326586 512113238 804749374 2816622809 5633245618 11055455561 22110911122 77388188927 121610011171 143720922293 154776377854 243220022342 287441844586 851270078197 1006046456051 1580930145223 1702540156394 2012092912102 3161860290446 11066511016561 22133022033122