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12355251030 = 2335192408431
BaseRepresentation
bin10111000000110111…
…00010101101010110
31011220001120210011000
423200123202231112
5200300421013110
65401555524130
7615113621013
oct134033425526
934801523130
1012355251030
115270242a71
1224898b9646
13121b938b35
14852c9470a
154c4a451c0
hex2e06e2b56

12355251030 has 64 divisors (see below), whose sum is σ = 34681420800. Its totient is φ = 3121325280.

The previous prime is 12355251023. The next prime is 12355251037. The reversal of 12355251030 is 3015255321.

It is a happy number.

12355251030 is a `hidden beast` number, since 1 + 2 + 3 + 552 + 5 + 103 + 0 = 666.

12355251030 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 (12355251023) and next prime (12355251037).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12355250985 and 12355251003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355251037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1199086 + ... + 1209345.

It is an arithmetic number, because the mean of its divisors is an integer number (541897200).

Almost surely, 212355251030 is an apocalyptic number.

12355251030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12355251030 is an abundant number, since it is smaller than the sum of its proper divisors (22326169770).

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

12355251030 is a wasteful number, since it uses less digits than its factorization.

12355251030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408466 (or 2408460 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 12355251030 in words is "twelve billion, three hundred fifty-five million, two hundred fifty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 2408431 4816862 7225293 12042155 14450586 21675879 24084310 36126465 43351758 45760189 65027637 72252930 91520378 108379395 130055274 137280567 216758790 228800945 274561134 325138185 411841701 457601890 650276370 686402835 823683402 1235525103 1372805670 2059208505 2471050206 4118417010 6177625515 12355251030