Search a number
-
+
131330222311031 = 2373431541335459
BaseRepresentation
bin11101110111000110110011…
…001111111100011001110111
3122020000001020222222012202222
4131313012303033330121313
5114203203243402423111
61143152134330352555
736443203223612132
oct3567066317743167
9566001228865688
10131330222311031
113893391a7a4a77
121289081588b75b
135838504b10cb3
1424605b9501219
15102b3018ac7db
hex7771b33fc677

131330222311031 has 32 divisors (see below), whose sum is σ = 139497600522240. Its totient is φ = 123383062598400.

The previous prime is 131330222311027. The next prime is 131330222311087. The reversal of 131330222311031 is 130113222033131.

It is a cyclic number.

It is not a de Polignac number, because 131330222311031 - 22 = 131330222311027 is a prime.

It is a super-2 number, since 2×1313302223110312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330222311531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391326380 + ... + 391661838.

It is an arithmetic number, because the mean of its divisors is an integer number (4359300016320).

Almost surely, 2131330222311031 is an apocalyptic number.

131330222311031 is a deficient number, since it is larger than the sum of its proper divisors (8167378211209).

131330222311031 is a wasteful number, since it uses less digits than its factorization.

131330222311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336527.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 131330222311031 its reverse (130113222033131), we get a palindrome (261443444344162).

The spelling of 131330222311031 in words is "one hundred thirty-one trillion, three hundred thirty billion, two hundred twenty-two million, three hundred eleven thousand, thirty-one".

Divisors: 1 23 73 431 541 1679 9913 12443 31463 39493 233171 335459 723649 908339 5362933 7715557 17021483 24488507 144582829 181483319 391494109 563235661 3325405067 4174116337 10554546517 13248282287 78219310489 242754569891 304710492601 1799044141247 5710009665697 131330222311031