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114435130120 = 23523756116451
BaseRepresentation
bin110101010010011011…
…1011000001100001000
3101221101011212221010121
41222210313120030020
53333330343130440
6124323141553024
711160544361653
oct1524467301410
9357334787117
10114435130120
1144593714003
121a218115774
13aa3930cc5c
14577824489a
152e9b67034a
hex1aa4dd8308

114435130120 has 64 divisors (see below), whose sum is σ = 268725651840. Its totient is φ = 43775424000.

The previous prime is 114435130091. The next prime is 114435130133. The reversal of 114435130120 is 21031534411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6947895 + ... + 6964345.

It is an arithmetic number, because the mean of its divisors is an integer number (4198838310).

Almost surely, 2114435130120 is an apocalyptic number.

114435130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114435130120 is an abundant number, since it is smaller than the sum of its proper divisors (154290521720).

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

114435130120 is a wasteful number, since it uses less digits than its factorization.

114435130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24046 (or 24042 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 114435130120 its reverse (21031534411), we get a palindrome (135466664531).

The spelling of 114435130120 in words is "one hundred fourteen billion, four hundred thirty-five million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 7561 15122 16451 30244 32902 37805 60488 65804 75610 82255 131608 151220 164510 173903 302440 329020 347806 378373 658040 695612 756746 869515 1391224 1513492 1739030 1891865 3026984 3478060 3783730 6956120 7567460 15134920 124386011 248772022 497544044 621930055 995088088 1243860110 2487720220 2860878253 4975440440 5721756506 11443513012 14304391265 22887026024 28608782530 57217565060 114435130120