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231395291120 = 2457343196111
BaseRepresentation
bin1101011110000000111…
…0111110111111110000
3211010021100001201110102
43113200032332333300
512242344143303440
6254145044051532
722501122344000
oct3274016767760
9733240051412
10231395291120
118a152678094
1238a19993ba8
1318a887a4606
14b2b1974000
156044812b15
hex35e03beff0

231395291120 has 160 divisors (see below), whose sum is σ = 641992243200. Its totient is φ = 77490120960.

The previous prime is 231395291081. The next prime is 231395291123. The reversal of 231395291120 is 21192593132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231395291123) 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, 1081865 + ... + 1277975.

It is an arithmetic number, because the mean of its divisors is an integer number (4012451520).

Almost surely, 2231395291120 is an apocalyptic number.

231395291120 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 231395291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320996121600).

231395291120 is an abundant number, since it is smaller than the sum of its proper divisors (410596952080).

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

231395291120 is a wasteful number, since it uses less digits than its factorization.

231395291120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196188 (or 196168 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The spelling of 231395291120 in words is "two hundred thirty-one billion, three hundred ninety-five million, two hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 49 56 70 80 86 98 112 140 172 196 215 245 280 301 343 344 392 430 490 560 602 686 688 784 860 980 1204 1372 1505 1715 1720 1960 2107 2408 2744 3010 3430 3440 3920 4214 4816 5488 6020 6860 8428 10535 12040 13720 14749 16856 21070 24080 27440 29498 33712 42140 58996 73745 84280 117992 147490 168560 196111 235984 294980 392222 589960 784444 980555 1179920 1372777 1568888 1961110 2745554 3137776 3922220 5491108 6863885 7844440 8432773 9609439 10982216 13727770 15688880 16865546 19218878 21964432 27455540 33731092 38437756 42163865 48047195 54911080 59029411 67266073 67462184 76875512 84327730 96094390 109822160 118058822 134532146 134924368 153751024 168655460 192188780 236117644 269064292 295147055 336330365 337310920 384377560 413205877 472235288 538128584 590294110 672660730 674621840 768755120 826411754 944470576 1076257168 1180588220 1345321460 1652823508 2066029385 2361176440 2690642920 2892441139 3305647016 4132058770 4722352880 5381285840 5784882278 6611294032 8264117540 11569764556 14462205695 16528235080 23139529112 28924411390 33056470160 46279058224 57848822780 115697645560 231395291120