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213340104433131 = 313374331831186479
BaseRepresentation
bin110000100000100000011101…
…001001000001110111101011
31000222101010002200121220102020
4300200200131021001313223
5210430331013213330011
62033423031352235523
762636212445140254
oct6040403511016753
91028333080556366
10213340104433131
1161a82037207555
121bb168a939bba3
139206b686619b0
143a97a05181b2b
15199e6ebb4a006
hexc2081d241deb

213340104433131 has 64 divisors (see below), whose sum is σ = 315514325790720. Its totient is φ = 127372649195520.

The previous prime is 213340104433123. The next prime is 213340104433193. The reversal of 213340104433131 is 131334401043312.

It is not a de Polignac number, because 213340104433131 - 23 = 213340104433123 is a prime.

It is a super-2 number, since 2×2133401044331312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213340104433092 and 213340104433101.

It is not an unprimeable number, because it can be changed into a prime (213340104432131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1143950350 + ... + 1144136828.

It is an arithmetic number, because the mean of its divisors is an integer number (4929911340480).

Almost surely, 2213340104433131 is an apocalyptic number.

213340104433131 is a deficient number, since it is larger than the sum of its proper divisors (102174221357589).

213340104433131 is a wasteful number, since it uses less digits than its factorization.

213340104433131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188796.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 213340104433131 its reverse (131334401043312), we get a palindrome (344674505476443).

The spelling of 213340104433131 in words is "two hundred thirteen trillion, three hundred forty billion, one hundred four million, four hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 13 37 39 111 433 481 1299 1443 1831 5493 5629 16021 16887 23803 48063 67747 71409 186479 203241 208273 559437 624819 792823 880711 2378469 2424227 2642133 6899723 7272681 10306699 20699169 29334451 30920097 80745407 88003353 89696399 242236221 269089197 341443049 381347863 1024329147 1049690291 1144043589 2987580059 3149070873 4438759637 8962740177 12633392813 13316278911 37900178439 38838540767 116515622301 147844840217 164234106569 443534520651 492702319707 1921982922821 5470259088029 5765948768463 16410777264087 71113368144377 213340104433131