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10132137400 = 2352711657931
BaseRepresentation
bin10010110111110110…
…00010010110111000
3222011010101220120011
421123323002112320
5131222311344100
64353222511304
7506040514120
oct113373022670
928133356504
1010132137400
11432a366880
121b69295534
13c561a3a98
146c191bc80
153e47aebba
hex25bec25b8

10132137400 has 96 divisors (see below), whose sum is σ = 29370084480. Its totient is φ = 3158064000.

The previous prime is 10132137373. The next prime is 10132137427. The reversal of 10132137400 is 473123101.

It is an interprime number because it is at equal distance from previous prime (10132137373) and next prime (10132137427).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313566 + ... + 344365.

It is an arithmetic number, because the mean of its divisors is an integer number (305938380).

Almost surely, 210132137400 is an apocalyptic number.

10132137400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132137400 is an abundant number, since it is smaller than the sum of its proper divisors (19237947080).

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

10132137400 is a wasteful number, since it uses less digits than its factorization.

10132137400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657965 (or 657956 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The spelling of 10132137400 in words is "ten billion, one hundred thirty-two million, one hundred thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 657931 1315862 2631724 3289655 4605517 5263448 6579310 7237241 9211034 13158620 14474482 16448275 18422068 23027585 26317240 28948964 32896550 36186205 36844136 46055170 50660687 57897928 65793100 72372410 92110340 101321374 115137925 131586200 144744820 180931025 184220680 202642748 230275850 253303435 289489640 361862050 405285496 460551700 506606870 723724100 921103400 1013213740 1266517175 1447448200 2026427480 2533034350 5066068700 10132137400