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12103134100 = 2252132191621
BaseRepresentation
bin10110100010110011…
…10010101110010100
31011020111011220201221
423101121302232110
5144241400242400
65320552100124
7605632641151
oct132131625624
934214156657
1012103134100
1151509a3872
122419394644
1311ab634a15
1482b5c7228
154ac843c1a
hex2d1672b94

12103134100 has 36 divisors (see below), whose sum is σ = 26283969628. Its totient is φ = 4837536000.

The previous prime is 12103134097. The next prime is 12103134133. The reversal of 12103134100 is 143130121.

12103134100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 494795536 + 11608338564 = 22244^2 + 107742^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 86290 + ... + 177910.

Almost surely, 212103134100 is an apocalyptic number.

12103134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103134100 is an abundant number, since it is smaller than the sum of its proper divisors (14180835528).

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

12103134100 is a wasteful number, since it uses less digits than its factorization.

12103134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92956 (or 92949 counting only the distinct ones).

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

Adding to 12103134100 its reverse (143130121), we get a palindrome (12246264221).

The spelling of 12103134100 in words is "twelve billion, one hundred three million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1321 2642 5284 6605 13210 26420 33025 66050 91621 132100 183242 366484 458105 916210 1832420 2290525 4581050 9162100 121031341 242062682 484125364 605156705 1210313410 2420626820 3025783525 6051567050 12103134100