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12413200400 = 2452139223259
BaseRepresentation
bin10111000111110001…
…00110100000010000
31012001002121220201222
423203320212200100
5200410234403100
65411425544212
7616416314426
oct134370464020
935032556658
1012413200400
11529aa23207
1224a51a5068
13122a9485c3
1485a85b116
154c9b90485
hex2e3e26810

12413200400 has 60 divisors (see below), whose sum is σ = 30037400400. Its totient is φ = 4929536640.

The previous prime is 12413200391. The next prime is 12413200421. The reversal of 12413200400 is 400231421.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56030 + ... + 167229.

It is an arithmetic number, because the mean of its divisors is an integer number (500623340).

Almost surely, 212413200400 is an apocalyptic number.

12413200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12413200400 is an abundant number, since it is smaller than the sum of its proper divisors (17624200000).

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

12413200400 is a wasteful number, since it uses less digits than its factorization.

12413200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223416 (or 223405 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12413200400 its reverse (400231421), we get a palindrome (12813431821).

The spelling of 12413200400 in words is "twelve billion, four hundred thirteen million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 139 200 278 400 556 695 1112 1390 2224 2780 3475 5560 6950 11120 13900 27800 55600 223259 446518 893036 1116295 1786072 2232590 3572144 4465180 5581475 8930360 11162950 17860720 22325900 31033001 44651800 62066002 89303600 124132004 155165005 248264008 310330010 496528016 620660020 775825025 1241320040 1551650050 2482640080 3103300100 6206600200 12413200400