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231313332320 = 25571131827697
BaseRepresentation
bin1101011101101101011…
…0010101100001100000
3211010001121211210010022
43113123112111201200
512242212203113240
6254132555253012
722466105612030
oct3273326254140
9733047753108
10231313332320
118a110389244
12389b644a168
1318a74809795
14b2a4b1b8c0
15603c5239b5
hex35db595860

231313332320 has 96 divisors (see below), whose sum is σ = 630073297728. Its totient is φ = 78605549568.

The previous prime is 231313332293. The next prime is 231313332337. The reversal of 231313332320 is 23233313132.

It is a happy number.

231313332320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 231313332320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787289 + ... + 1040408.

It is an arithmetic number, because the mean of its divisors is an integer number (6563263518).

Almost surely, 2231313332320 is an apocalyptic number.

231313332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231313332320 is an abundant number, since it is smaller than the sum of its proper divisors (398759965408).

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

231313332320 is a wasteful number, since it uses less digits than its factorization.

231313332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827832 (or 1827824 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 231313332320 its reverse (23233313132), we get a palindrome (254546645452).

The spelling of 231313332320 in words is "two hundred thirty-one billion, three hundred thirteen million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 113 140 160 224 226 280 452 560 565 791 904 1120 1130 1582 1808 2260 3164 3616 3955 4520 6328 7910 9040 12656 15820 18080 25312 31640 63280 126560 1827697 3655394 7310788 9138485 12793879 14621576 18276970 25587758 29243152 36553940 51175516 58486304 63969395 73107880 102351032 127938790 146215760 204702064 206529761 255877580 292431520 409404128 413059522 511755160 826119044 1023510320 1032648805 1445708327 1652238088 2047020640 2065297610 2891416654 3304476176 4130595220 5782833308 6608952352 7228541635 8261190440 11565666616 14457083270 16522380880 23131333232 28914166540 33044761760 46262666464 57828333080 115656666160 231313332320