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231324102312 = 233175356319001
BaseRepresentation
bin1101011101101111111…
…1011010111010101000
3211010002101002221202220
43113123333122322220
512242222432233222
6254134022154040
722466266266312
oct3273377327250
9733071087686
10231324102312
118a116474966
12389b9b82920
1318a76b0a964
14b2a63227b2
15603d44eb5c
hex35dbfdaea8

231324102312 has 128 divisors (see below), whose sum is σ = 625022904960. Its totient is φ = 71072768000.

The previous prime is 231324102293. The next prime is 231324102337. The reversal of 231324102312 is 213201423132.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12164812 + ... + 12183812.

It is an arithmetic number, because the mean of its divisors is an integer number (4882991445).

Almost surely, 2231324102312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231324102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312511452480).

231324102312 is an abundant number, since it is smaller than the sum of its proper divisors (393698802648).

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

231324102312 is a wasteful number, since it uses less digits than its factorization.

231324102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19643 (or 19639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 231324102312 its reverse (213201423132), we get a palindrome (444525525444).

The spelling of 231324102312 in words is "two hundred thirty-one billion, three hundred twenty-four million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 563 636 901 1126 1272 1689 1802 2252 2703 3378 3604 4504 5406 6756 7208 9571 10812 13512 19001 19142 21624 28713 29839 38002 38284 57003 57426 59678 76004 76568 89517 114006 114852 119356 152008 179034 228012 229704 238712 323017 358068 456024 507263 646034 716136 969051 1007053 1014526 1292068 1521789 1938102 2014106 2029052 2584136 3021159 3043578 3876204 4028212 4058104 6042318 6087156 7752408 8056424 10697563 12084636 12174312 17119901 21395126 24169272 32092689 34239802 42790252 51359703 64185378 68479604 85580504 102719406 128370756 136959208 181858571 205438812 256741512 363717142 410877624 545575713 566970839 727434284 1091151426 1133941678 1454868568 1700912517 2182302852 2267883356 3401825034 4364605704 4535766712 6803650068 9638504263 13607300136 19277008526 28915512789 38554017052 57831025578 77108034104 115662051156 231324102312