Search a number
-
+
231134202431132 = 227112135247802253
BaseRepresentation
bin110100100011011100100000…
…000010000000011010011100
31010022101012202222022002220212
4310203130200002000122130
5220243400321310244012
62135325330423031552
766453616001425160
oct6443344002003234
91108335688262825
10231134202431132
1167712512686100
1221b0b43489b5b8
139bc7b283b8910
144110d52a8cca0
151bac4e7352b22
hexd2372008069c

231134202431132 has 72 divisors (see below), whose sum is σ = 547198836629088. Its totient is φ = 83125187671680.

The previous prime is 231134202431101. The next prime is 231134202431147.

231134202431132 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2623857083 + ... + 2623945170.

Almost surely, 2231134202431132 is an apocalyptic number.

231134202431132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231134202431132 is an abundant number, since it is smaller than the sum of its proper divisors (316064634197956).

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

231134202431132 is a wasteful number, since it uses less digits than its factorization.

231134202431132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247802299 (or 5247802286 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 23113420 and 2431132, that added together give a palindrome (25544552).

The spelling of 231134202431132 in words is "two hundred thirty-one trillion, one hundred thirty-four billion, two hundred two million, four hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 6292 11011 22022 44044 5247802253 10495604506 20991209012 36734615771 57725824783 68221429289 73469231542 115451649566 136442858578 146938463084 230903299132 272885717156 404080773481 477550005023 634984072613 750435722179 808161546962 955100010046 1269968145226 1500871444358 1616323093924 1910200020092 2539936290452 3001742888716 4444888508291 5253050055253 8254792943969 8889777016582 10506100110506 16509585887938 17779554033164 21012200221012 33019171775876 57783550607783 115567101215566 231134202431132