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231333112032 = 253111032126849
BaseRepresentation
bin1101011101110010000…
…1110010100011100000
3211010010000001200210020
43113130201302203200
512242232234041112
6254134543233440
722466436002601
oct3273441624340
9733100050706
10231333112032
118a120569010
1238a00ba8880
1318a78943859
14b2a75c9da8
15603e12e48c
hex35dc8728e0

231333112032 has 96 divisors (see below), whose sum is σ = 668885817600. Its totient is φ = 69420318720.

The previous prime is 231333111979. The next prime is 231333112033. The reversal of 231333112032 is 230211333132.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 231333111993 and 231333112011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231333112033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954657 + ... + 1172192.

It is an arithmetic number, because the mean of its divisors is an integer number (6967560600).

Almost surely, 2231333112032 is an apocalyptic number.

231333112032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231333112032 is an abundant number, since it is smaller than the sum of its proper divisors (437552705568).

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

231333112032 is a wasteful number, since it uses less digits than its factorization.

231333112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126976 (or 2126968 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 231333112032 its reverse (230211333132), we get a palindrome (461544445164).

The spelling of 231333112032 in words is "two hundred thirty-one billion, three hundred thirty-three million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 176 206 264 309 352 412 528 618 824 1056 1133 1236 1648 2266 2472 3296 3399 4532 4944 6798 9064 9888 13596 18128 27192 36256 54384 108768 2126849 4253698 6380547 8507396 12761094 17014792 23395339 25522188 34029584 46790678 51044376 68059168 70186017 93581356 102088752 140372034 187162712 204177504 219065447 280744068 374325424 438130894 561488136 657196341 748650848 876261788 1122976272 1314392682 1752523576 2245952544 2409719917 2628785364 3505047152 4819439834 5257570728 7010094304 7229159751 9638879668 10515141456 14458319502 19277759336 21030282912 28916639004 38555518672 57833278008 77111037344 115666556016 231333112032