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231429738100 = 225211894123531
BaseRepresentation
bin1101011110001001001…
…0011000111001110100
3211010100201212210211111
43113202102120321310
512242432003104400
6254152314244404
722502021213341
oct3274222307164
9733321783744
10231429738100
118a170065670
1238a29426704
1318a92975742
14b2b637d7c8
1560478693ba
hex35e2498e74

231429738100 has 72 divisors (see below), whose sum is σ = 547941866976. Its totient is φ = 84143280000.

The previous prime is 231429738073. The next prime is 231429738161. The reversal of 231429738100 is 1837924132.

231429738100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2314297381002 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 9823335 + ... + 9846865.

It is an arithmetic number, because the mean of its divisors is an integer number (7610303708).

Almost surely, 2231429738100 is an apocalyptic number.

231429738100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231429738100 is an abundant number, since it is smaller than the sum of its proper divisors (316512128876).

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

231429738100 is a wasteful number, since it uses less digits than its factorization.

231429738100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32497 (or 32490 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 231429738100 in words is "two hundred thirty-one billion, four hundred twenty-nine million, seven hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 8941 17882 23531 35764 44705 47062 89410 94124 98351 117655 178820 196702 223525 235310 258841 393404 447050 470620 491755 517682 588275 894100 983510 1035364 1176550 1294205 1967020 2353100 2458775 2588410 4917550 5176820 6471025 9835100 12942050 25884100 210390671 420781342 841562684 1051953355 2103906710 2314297381 4207813420 4628594762 5259766775 9257189524 10519533550 11571486905 21039067100 23142973810 46285947620 57857434525 115714869050 231429738100