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231140041132 = 2271113279720639
BaseRepresentation
bin1101011101000100000…
…1010010000110101100
3211002121112202200022011
43113101001102012230
512241333322304012
6254103445131004
722461602634640
oct3272101220654
9732545680264
10231140041132
118a031588a90
12389683b9a64
1318a47944410
14b289accc20
15602c1e31a7
hex35d10521ac

231140041132 has 96 divisors (see below), whose sum is σ = 543318773760. Its totient is φ = 83093541120.

The previous prime is 231140041117. The next prime is 231140041147.

231140041132 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (231140041117) and next prime (231140041147).

It is a super-2 number, since 2×2311400411322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11188869 + ... + 11209507.

It is an arithmetic number, because the mean of its divisors is an integer number (5659570560).

Almost surely, 2231140041132 is an apocalyptic number.

231140041132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231140041132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271659386880).

231140041132 is an abundant number, since it is smaller than the sum of its proper divisors (312178732628).

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

231140041132 is a wasteful number, since it uses less digits than its factorization.

231140041132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23471 (or 23469 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 2311400 and 41132, that added together give a palindrome (2352532).

The spelling of 231140041132 in words is "two hundred thirty-one billion, one hundred forty million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 2797 4004 5594 11188 19579 20639 30767 36361 39158 41278 61534 72722 78316 82556 123068 144473 145444 215369 227029 254527 268307 288946 399971 430738 454058 509054 536614 577892 799942 861476 908116 1018108 1073228 1589203 1599884 1878149 2799797 2951377 3178406 3756298 5599594 5902754 6356812 7512596 11199188 11805508 20659639 41319278 57727283 82638556 115454566 230909132 404090981 635000113 750454679 808181962 1270000226 1500909358 1616363924 2540000452 3001818716 4445000791 5253182753 8255001469 8890001582 10506365506 16510002938 17780003164 21012731012 33020005876 57785010283 115570020566 231140041132