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12100134310 = 251131019001
BaseRepresentation
bin10110100010011100…
…10110010110100110
31011020021112111210121
423101032112112212
5144240113244220
65320403512154
7605565305335
oct132116262646
934207474717
1012100134310
11514a235000
12241838865a
1311aab244b4
1482b045d1c
154ac44eeaa
hex2d13965a6

12100134310 has 64 divisors (see below), whose sum is σ = 24196511808. Its totient is φ = 4356000000.

The previous prime is 12100134301. The next prime is 12100134323. The reversal of 12100134310 is 1343100121.

12100134310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121001343102 (a number of 21 digits) contains 22 as substring.

12100134310 is a modest number, since divided by 134310 gives 12100 as remainder.

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 31 ways as a sum of consecutive naturals, for example, 1339810 + ... + 1348810.

It is an arithmetic number, because the mean of its divisors is an integer number (378070497).

Almost surely, 212100134310 is an apocalyptic number.

12100134310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12100134310 is a deficient number, since it is larger than the sum of its proper divisors (12096377498).

12100134310 is a wasteful number, since it uses less digits than its factorization.

12100134310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142 (or 9120 counting only the distinct ones).

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

Adding to 12100134310 its reverse (1343100121), we get a palindrome (13443234431).

The spelling of 12100134310 in words is "twelve billion, one hundred million, one hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 55 101 110 121 202 242 505 605 1010 1111 1210 1331 2222 2662 5555 6655 9001 11110 12221 13310 18002 24442 45005 61105 90010 99011 122210 134431 198022 268862 495055 672155 909101 990110 1089121 1344310 1818202 2178242 4545505 5445605 9091010 10000111 10891210 11980331 20000222 23960662 50000555 59901655 100001110 110001221 119803310 220002442 550006105 1100012210 1210013431 2420026862 6050067155 12100134310