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231352253132 = 22711313477523
BaseRepresentation
bin1101011101110110101…
…0110011101011001100
3211010011100002011102212
43113131222303223030
512242302134100012
6254140505405552
722500060463550
oct3273552635314
9733140064385
10231352253132
118a130352000
1238a074998b8
1318a7c8b6050
14b2a9d6d860
156040b60b22
hex35ddab3acc

231352253132 has 96 divisors (see below), whose sum is σ = 548090586624. Its totient is φ = 83203433280.

The previous prime is 231352253123. The next prime is 231352253147.

231352253132 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245723 + ... + 723245.

It is an arithmetic number, because the mean of its divisors is an integer number (5709276944).

Almost surely, 2231352253132 is an apocalyptic number.

231352253132 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 231352253132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274045293312).

231352253132 is an abundant number, since it is smaller than the sum of its proper divisors (316738333492).

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

231352253132 is a wasteful number, since it uses less digits than its factorization.

231352253132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477580 (or 477556 counting only the distinct ones).

The product of its digits is 32400, while the sum is 32.

It can be divided in two parts, 231352 and 253132, that added together give a palindrome (484484).

The spelling of 231352253132 in words is "two hundred thirty-one billion, three hundred fifty-two million, two hundred fifty-three 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 1331 1573 1694 2002 2662 3146 3388 4004 5324 6292 9317 11011 17303 18634 22022 34606 37268 44044 69212 121121 242242 477523 484484 955046 1910092 3342661 5252753 6207799 6685322 10505506 12415598 13370644 21011012 24831196 36769271 43454593 57780283 68285789 73538542 86909186 115560566 136571578 147077084 173818372 231121132 273143156 404461981 478000523 635583113 751143679 808923962 956001046 1271166226 1502287358 1617847924 1912002092 2542332452 3004574716 4449081791 5258005753 8262580469 8898163582 10516011506 16525160938 17796327164 21032023012 33050321876 57838063283 115676126566 231352253132