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12101331400 = 235260506657
BaseRepresentation
bin10110100010100101…
…11010100111001000
31011020100210022220021
423101102322213020
5144240420101100
65320445310224
7605611422364
oct132122724710
934210708807
1012101331400
11514a982434
122418865374
1311ab153332
1482b2782a4
154ac5d9a1a
hex2d14ba9c8

12101331400 has 24 divisors (see below), whose sum is σ = 28135595970. Its totient is φ = 4840532480.

The previous prime is 12101331383. The next prime is 12101331413. The reversal of 12101331400 is 413310121.

It can be written as a sum of positive squares in 3 ways, for example, as 6829700164 + 5271631236 = 82642^2 + 72606^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30253129 + ... + 30253528.

Almost surely, 212101331400 is an apocalyptic number.

12101331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101331400 is an abundant number, since it is smaller than the sum of its proper divisors (16034264570).

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

12101331400 is a wasteful number, since it uses less digits than its factorization.

12101331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60506673 (or 60506664 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12101331400 its reverse (413310121), we get a palindrome (12514641521).

The spelling of 12101331400 in words is "twelve billion, one hundred one million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60506657 121013314 242026628 302533285 484053256 605066570 1210133140 1512666425 2420266280 3025332850 6050665700 12101331400