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231244264120 = 235232293373257
BaseRepresentation
bin1101011101011100111…
…0110111001010111000
3211002212210212202100211
43113113032313022320
512242042012422440
6254122051040504
722464306546022
oct3272716671270
9732783782324
10231244264120
118a0853a4291
12389972a0134
1318a6340611c
14b29989d012
15603642deea
hex35d73b72b8

231244264120 has 128 divisors (see below), whose sum is σ = 547078147200. Its totient is φ = 87801348096.

The previous prime is 231244264081. The next prime is 231244264127. The reversal of 231244264120 is 21462442132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231244264127) by changing a digit.

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, 70997532 + ... + 71000788.

It is an arithmetic number, because the mean of its divisors is an integer number (4274048025).

Almost surely, 2231244264120 is an apocalyptic number.

231244264120 is a gapful number since it is divisible by the number (20) 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 231244264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273539073600).

231244264120 is an abundant number, since it is smaller than the sum of its proper divisors (315833883080).

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

231244264120 is a wasteful number, since it uses less digits than its factorization.

231244264120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 231244264120 in words is "two hundred thirty-one billion, two hundred forty-four million, two hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 229 230 337 458 460 674 916 920 1145 1348 1685 1832 2290 2696 3257 3370 4580 5267 6514 6740 7751 9160 10534 13028 13480 15502 16285 21068 26056 26335 31004 32570 38755 42136 52670 62008 65140 74911 77173 77510 105340 130280 149822 154346 155020 210680 299644 308692 310040 374555 385865 599288 617384 745853 749110 771730 1097609 1491706 1498220 1543460 1774979 2195218 2983412 2996440 3086920 3549958 3729265 4390436 5488045 5966824 7099916 7458530 8780872 8874895 10976090 14199832 14917060 17154619 17749790 21952180 25245007 29834120 34309238 35499580 43904360 50490014 68618476 70999160 85773095 100980028 126225035 137236952 171546190 201960056 251352461 252450070 343092380 502704922 504900140 686184760 1005409844 1009800280 1256762305 2010819688 2513524610 5027049220 5781106603 10054098440 11562213206 23124426412 28905533015 46248852824 57811066030 115622132060 231244264120