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12430828300 = 225211106310631
BaseRepresentation
bin10111001001110111…
…10110001100001100
31012002022210111200011
423210323312030030
5200424243001200
65413255443004
7620022203632
oct134473661414
935068714604
1012430828300
1152a9973320
1224ab086464
1312314ab107
1485cd29352
154cb4c35ba
hex2e4ef630c

12430828300 has 72 divisors (see below), whose sum is σ = 29457614592. Its totient is φ = 4515624000.

The previous prime is 12430828219. The next prime is 12430828307. The reversal of 12430828300 is 382803421.

It is not an unprimeable number, because it can be changed into a prime (12430828307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163985 + ... + 1174615.

It is an arithmetic number, because the mean of its divisors is an integer number (409133536).

Almost surely, 212430828300 is an apocalyptic number.

12430828300 is a gapful number since it is divisible by the number (10) 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 12430828300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728807296).

12430828300 is an abundant number, since it is smaller than the sum of its proper divisors (17026786292).

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

12430828300 is a wasteful number, since it uses less digits than its factorization.

12430828300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11719 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 12430828300 in words is "twelve billion, four hundred thirty million, eight hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1063 1100 2126 4252 5315 10630 10631 11693 21260 21262 23386 26575 42524 46772 53150 53155 58465 106300 106310 116930 116941 212620 233860 233882 265775 292325 467764 531550 584650 584705 1063100 1169300 1169410 2338820 2923525 5847050 11300753 11694100 22601506 45203012 56503765 113007530 124308283 226015060 248616566 282518825 497233132 565037650 621541415 1130075300 1243082830 2486165660 3107707075 6215414150 12430828300