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22154054124345 = 35111314597078979
BaseRepresentation
bin1010000100110001001001…
…00001101100001100111001
32220102220111010022201120220
411002120210201230030321
510400433000323434340
6115041233145410253
74444402054000503
oct502304441541471
986386433281526
1022154054124345
117071532aa8660
12259972ba99989
13c4916ccb96b0
14568394aa0d73
15286427809ed0
hex14262486c339

22154054124345 has 64 divisors (see below), whose sum is σ = 41671973145600. Its totient is φ = 9908303927040.

The previous prime is 22154054124299. The next prime is 22154054124353. The reversal of 22154054124345 is 54342145045122.

It is not a de Polignac number, because 22154054124345 - 211 = 22154054122297 is a prime.

It is a super-2 number, since 2×221540541243452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22154054124297 and 22154054124306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409935 + ... + 6669044.

It is an arithmetic number, because the mean of its divisors is an integer number (651124580400).

Almost surely, 222154054124345 is an apocalyptic number.

It is an amenable number.

22154054124345 is a deficient number, since it is larger than the sum of its proper divisors (19517919021255).

22154054124345 is a wasteful number, since it uses less digits than its factorization.

22154054124345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080470.

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 22154054124345 its reverse (54342145045122), we get a palindrome (76496199169467).

The spelling of 22154054124345 in words is "twenty-two trillion, one hundred fifty-four billion, fifty-four million, one hundred twenty-four thousand, three hundred forty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 1459 2145 4377 7295 16049 18967 21885 48147 56901 80245 94835 208637 240735 284505 625911 1043185 3129555 7078979 21236937 35394895 77868769 92026727 106184685 233606307 276080181 389343845 460133635 1012293997 1168031535 1380400905 3036881991 5061469985 10328230361 15184409955 30984691083 51641151805 113610533971 134266994693 154923455415 340831601913 402800984079 568052669855 671334973465 1476936941623 1704158009565 2014004920395 4430810824869 7384684708115 22154054124345