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231442112100 = 223524331756597
BaseRepresentation
bin1101011110001100000…
…1100101111001100100
3211010101121011110202210
43113203001211321210
512242443140041400
6254153435403420
722502231331213
oct3274301457144
9733347143683
10231442112100
118a177047411
1238a315b3570
1318a953b8a34
14b2b7c8107a
1560489b0950
hex35e3065e64

231442112100 has 144 divisors (see below), whose sum is σ = 687385879488. Its totient is φ = 60091368960.

The previous prime is 231442112093. The next prime is 231442112107. The reversal of 231442112100 is 1211244132.

231442112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231442112093) and next prime (231442112107).

It is not an unprimeable number, because it can be changed into a prime (231442112107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4061002 + ... + 4117598.

It is an arithmetic number, because the mean of its divisors is an integer number (4773513052).

Almost surely, 2231442112100 is an apocalyptic number.

231442112100 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 231442112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343692939744).

231442112100 is an abundant number, since it is smaller than the sum of its proper divisors (455943767388).

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

231442112100 is a wasteful number, since it uses less digits than its factorization.

231442112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56974 (or 56967 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 231442112100 its reverse (1211244132), we get a palindrome (232653356232).

The spelling of 231442112100 in words is "two hundred thirty-one billion, four hundred forty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 317 430 516 634 645 860 951 1075 1268 1290 1585 1902 2150 2580 3170 3225 3804 4300 4755 6340 6450 7925 9510 12900 13631 15850 19020 23775 27262 31700 40893 47550 54524 56597 68155 81786 95100 113194 136310 163572 169791 204465 226388 272620 282985 339582 340775 408930 565970 679164 681550 817860 848955 1022325 1131940 1363100 1414925 1697910 2044650 2433671 2829850 3395820 4089300 4244775 4867342 5659700 7301013 8489550 9734684 12168355 14602026 16979100 17941249 24336710 29204052 35882498 36505065 48673420 53823747 60841775 71764996 73010130 89706245 107647494 121683550 146020260 179412490 182525325 215294988 243367100 269118735 358824980 365050650 448531225 538237470 730101300 771473707 897062450 1076474940 1345593675 1542947414 1794124900 2314421121 2691187350 3085894828 3857368535 4628842242 5382374700 7714737070 9257684484 11572105605 15429474140 19286842675 23144211210 38573685350 46288422420 57860528025 77147370700 115721056050 231442112100