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300013120032 = 2538337652249
BaseRepresentation
bin1000101110110100010…
…11001110101000100000
31001200101102121121001020
410113122023032220200
514403411324320112
6345454002205440
730450414305223
oct4273213165040
91050342547036
10300013120032
111062646485aa
124a189953880
13223a2773642
1410740b995ba
157c0d90148c
hex45da2cea20

300013120032 has 48 divisors (see below), whose sum is σ = 797022828000. Its totient is φ = 98799498752.

The previous prime is 300013120027. The next prime is 300013120063. The reversal of 300013120032 is 230021310003.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 300013119993 and 300013120020.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18818157 + ... + 18834092.

It is an arithmetic number, because the mean of its divisors is an integer number (16604642250).

Almost surely, 2300013120032 is an apocalyptic number.

300013120032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

300013120032 is an abundant number, since it is smaller than the sum of its proper divisors (497009707968).

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

300013120032 is a wasteful number, since it uses less digits than its factorization.

300013120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37652345 (or 37652337 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 300013120032 its reverse (230021310003), we get a palindrome (530034430035).

The spelling of 300013120032 in words is "three hundred billion, thirteen million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 37652249 75304498 112956747 150608996 225913494 301217992 451826988 602435984 903653976 1204871968 1807307952 3125136667 3614615904 6250273334 9375410001 12500546668 18750820002 25001093336 37501640004 50002186672 75003280008 100004373344 150006560016 300013120032