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13324042100 = 2252675093907
BaseRepresentation
bin11000110100010110…
…01011111101110100
31021101120112110122202
430122023023331310
5204241423321400
610042044244032
7651116326535
oct143213137564
937346473582
1013324042100
115718090046
1226ba240618
1313445699a5
149057da68c
1552eb0e4d5
hex31a2cbf74

13324042100 has 72 divisors (see below), whose sum is σ = 29409888480. Its totient is φ = 5238414720.

The previous prime is 13324042093. The next prime is 13324042103. The reversal of 13324042100 is 124042331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13324042103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3408347 + ... + 3412253.

Almost surely, 213324042100 is an apocalyptic number.

13324042100 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 13324042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704944240).

13324042100 is an abundant number, since it is smaller than the sum of its proper divisors (16085846380).

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

13324042100 is a wasteful number, since it uses less digits than its factorization.

13324042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13324042100 its reverse (124042331), we get a palindrome (13448084431).

The spelling of 13324042100 in words is "thirteen billion, three hundred twenty-four million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 509 670 1018 1340 1675 2036 2545 3350 3907 5090 6700 7814 10180 12725 15628 19535 25450 34103 39070 50900 68206 78140 97675 136412 170515 195350 261769 341030 390700 523538 682060 852575 1047076 1308845 1705150 1988663 2617690 3410300 3977326 5235380 6544225 7954652 9943315 13088450 19886630 26176900 39773260 49716575 99433150 133240421 198866300 266480842 532961684 666202105 1332404210 2664808420 3331010525 6662021050 13324042100