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20013653121400 = 23527310113572259
BaseRepresentation
bin1001000110011110010101…
…01011110101100101111000
32121212021201220012221020201
410203033022223311211320
510110400430144341100
6110322051215531544
74133636660443351
oct443171253654570
977767656187221
1020013653121400
116416819483244
1222b2943b29bb4
13b22382a903b3
144d294763ad28
1524a9037ea36a
hex1233caaf5978

20013653121400 has 96 divisors (see below), whose sum is σ = 47636189593200. Its totient is φ = 7817620608000.

The previous prime is 20013653121379. The next prime is 20013653121437. The reversal of 20013653121400 is 412135631002.

It is a super-2 number, since 2×200136531214002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5311530 + ... + 8260729.

Almost surely, 220013653121400 is an apocalyptic number.

20013653121400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013653121400 is an abundant number, since it is smaller than the sum of its proper divisors (27622536471800).

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

20013653121400 is a wasteful number, since it uses less digits than its factorization.

20013653121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13572449 (or 13572440 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 20013653121400 its reverse (412135631002), we get a palindrome (20425788752402).

The spelling of 20013653121400 in words is "twenty trillion, thirteen billion, six hundred fifty-three million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 101 146 200 202 292 365 404 505 584 730 808 1010 1460 1825 2020 2525 2920 3650 4040 5050 7300 7373 10100 14600 14746 20200 29492 36865 58984 73730 147460 184325 294920 368650 737300 1474600 13572259 27144518 54289036 67861295 108578072 135722590 271445180 339306475 542890360 678612950 990774907 1357225900 1370798159 1981549814 2714451800 2741596318 3963099628 4953874535 5483192636 6853990795 7926199256 9907749070 10966385272 13707981590 19815498140 24769372675 27415963180 34269953975 39630996280 49538745350 54831926360 68539907950 99077490700 100068265607 137079815900 198154981400 200136531214 274159631800 400273062428 500341328035 800546124856 1000682656070 2001365312140 2501706640175 4002730624280 5003413280350 10006826560700 20013653121400