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20213120111130 = 2345107337369143
BaseRepresentation
bin1001001100010001110111…
…10110000001001000011010
32122120100121002112220010000
410212020323312001020122
510122132432222024010
6110553440145433430
74154230650046512
oct446107366011032
978510532486100
1020213120111130
116493377390991
12232553103b876
13b3812083a27b
144dc46aa12842
15250bca0857c0
hex12623bd8121a

20213120111130 has 160 divisors (see below), whose sum is σ = 54875843535744. Its totient is φ = 5338129682304.

The previous prime is 20213120111087. The next prime is 20213120111131. The reversal of 20213120111130 is 3111102131202.

20213120111130 is a `hidden beast` number, since 202 + 131 + 201 + 1 + 1 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20213120111131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 292303339 + ... + 292372481.

Almost surely, 220213120111130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213120111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27437921767872).

20213120111130 is an abundant number, since it is smaller than the sum of its proper divisors (34662723424614).

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

20213120111130 is a wasteful number, since it uses less digits than its factorization.

20213120111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72642 (or 72633 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20213120111130 its reverse (3111102131202), we get a palindrome (23324222242332).

The spelling of 20213120111130 in words is "twenty trillion, two hundred thirteen billion, one hundred twenty million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 107 135 162 214 270 321 405 535 642 810 963 1070 1605 1926 2889 3210 3373 4815 5778 6746 8667 9630 10119 14445 16865 17334 20238 28890 30357 33730 43335 50595 60714 69143 86670 91071 101190 138286 151785 182142 207429 273213 303570 345715 360911 414858 455355 546426 622287 691430 721822 910710 1037145 1082733 1244574 1366065 1804555 1866861 2074290 2165466 2732130 3111435 3248199 3609110 3733722 5413665 5600583 6222870 6496398 7398301 9334305 9744597 10827330 11201166 14796602 16240995 18668610 19489194 22194903 28002915 29233791 32481990 36991505 44389806 48722985 56005830 58467582 66584709 73983010 97445970 110974515 133169418 146168955 199754127 221949030 233219339 292337910 332923545 399508254 466438678 599262381 665847090 699658017 998770635 1166096695 1198524762 1399316034 1997541270 2098974051 2332193390 2996311905 3498290085 4197948102 5992623810 6296922153 6996580170 10494870255 12593844306 18890766459 20989740510 24954469273 31484610765 37781532918 49908938546 62969221530 74863407819 94453832295 124772346365 149726815638 188907664590 224590223457 249544692730 374317039095 449180446914 673770670371 748634078190 1122951117285 1347541340742 2021312011113 2245902234570 3368853351855 4042624022226 6737706703710 10106560055565 20213120111130