Search a number
-
+
131403412222134 = 231347194691841071
BaseRepresentation
bin11101111000001010111101…
…101101010011000010110110
3122020021001011201200221001020
4131320022331231103002312
5114210403142012102014
61143245521052242010
736451404023602143
oct3570127555230266
9566231151627036
10131403412222134
1138961968579508
12128a2a40a70306
13584239a0a3cc0
142463d5da373ca
15102d1870771a9
hex7782bdb530b6

131403412222134 has 64 divisors (see below), whose sum is σ = 289059497717760. Its totient is φ = 39569513639040.

The previous prime is 131403412222133. The next prime is 131403412222141. The reversal of 131403412222134 is 431222214304131.

It is a junction number, because it is equal to n+sod(n) for n = 131403412222095 and 131403412222104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403412222133) 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, 70452819 + ... + 72293889.

It is an arithmetic number, because the mean of its divisors is an integer number (4516554651840).

Almost surely, 2131403412222134 is an apocalyptic number.

131403412222134 is an abundant number, since it is smaller than the sum of its proper divisors (157656085495626).

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

131403412222134 is a wasteful number, since it uses less digits than its factorization.

131403412222134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860605.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 131403412222134 its reverse (431222214304131), we get a palindrome (562625626526265).

The spelling of 131403412222134 in words is "one hundred thirty-one trillion, four hundred three billion, four hundred twelve million, two hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 282 611 1222 1833 3666 19469 38938 58407 116814 253097 506194 759291 915043 1518582 1830086 1841071 2745129 3682142 5490258 5523213 11046426 11895559 23791118 23933923 35686677 47867846 71373354 71801769 86530337 143603538 173060674 259591011 519182022 1124894381 2249788762 3374683143 6749366286 35843811299 71687622598 107531433897 215062867794 465969546887 931939093774 1397908640661 1684659131053 2795817281322 3369318262106 5053977393159 10107954786318 21900568703689 43801137407378 65701706111067 131403412222134