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213233120231120 = 245112322746410719
BaseRepresentation
bin110000011110111100110100…
…011000101011111011010000
31000221222212221202222100010222
4300132330310120223323100
5210422102412234343440
62033301535413412212
762625404333340623
oct6036746430537320
91027885852870128
10213233120231120
1161a40727438080
121baba01063a068
1391c9a48bbac52
143a92776717dba
15199ba396b72b5
hexc1ef3462bed0

213233120231120 has 160 divisors (see below), whose sum is σ = 566837514362880. Its totient is φ = 73841308766720.

The previous prime is 213233120231111. The next prime is 213233120231129. The reversal of 213233120231120 is 21132021332312.

It is an interprime number because it is at equal distance from previous prime (213233120231111) and next prime (213233120231129).

It is a self number, because there is not a number n which added to its sum of digits gives 213233120231120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213233120231129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18610880 + ... + 27799839.

It is an arithmetic number, because the mean of its divisors is an integer number (3542734464768).

Almost surely, 2213233120231120 is an apocalyptic number.

213233120231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213233120231120 is an abundant number, since it is smaller than the sum of its proper divisors (353604394131760).

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

213233120231120 is a wasteful number, since it uses less digits than its factorization.

213233120231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46410993 (or 46410987 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 213233120231120 its reverse (21132021332312), we get a palindrome (234365141563432).

The spelling of 213233120231120 in words is "two hundred thirteen trillion, two hundred thirty-three billion, one hundred twenty million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 227 230 253 368 440 454 460 506 880 908 920 1012 1135 1265 1816 1840 2024 2270 2497 2530 3632 4048 4540 4994 5060 5221 9080 9988 10120 10442 12485 18160 19976 20240 20884 24970 26105 39952 41768 49940 52210 57431 83536 99880 104420 114862 199760 208840 229724 287155 417680 459448 574310 918896 1148620 2297240 4594480 46410719 92821438 185642876 232053595 371285752 464107190 510517909 742571504 928214380 1021035818 1067446537 1856428760 2042071636 2134893074 2552589545 3712857520 4084143272 4269786148 5105179090 5337232685 8168286544 8539572296 10210358180 10535233213 10674465370 11741911907 17079144592 20420716360 21070466426 21348930740 23483823814 40841432720 42140932852 42697861480 46967647628 52676166065 58709559535 84281865704 85395722960 93935295256 105352332130 115887565343 117419119070 168563731408 187870590512 210704664260 231775130686 234838238140 242310363899 421409328520 463550261372 469676476280 484620727798 579437826715 842818657040 927100522744 939352952560 969241455596 1158875653430 1211551819495 1854201045488 1938482911192 2317751306860 2423103638990 2665414002889 3876965822384 4635502613720 4846207277980 5330828005778 9271005227440 9692414555960 10661656011556 13327070014445 19384829111920 21323312023112 26654140028890 42646624046224 53308280057780 106616560115560 213233120231120