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10402132000 = 255313200041
BaseRepresentation
bin10011011000000001…
…11111000000100000
3222211221110001112011
421230000333000200
5132300421211000
64440105442304
7515526443311
oct115400770040
928757401464
1010402132000
114458806807
1220237a0394
13c9a0c72c0
14709720608
1540d3432ba
hex26c03f020

10402132000 has 96 divisors (see below), whose sum is σ = 27524178864. Its totient is φ = 3840768000.

The previous prime is 10402131997. The next prime is 10402132051. The reversal of 10402132000 is 23120401.

It can be written as a sum of positive squares in 8 ways, for example, as 210018064 + 10192113936 = 14492^2 + 100956^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48021 + ... + 152020.

Almost surely, 210402132000 is an apocalyptic number.

10402132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402132000 is an abundant number, since it is smaller than the sum of its proper divisors (17122046864).

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

10402132000 is a wasteful number, since it uses less digits than its factorization.

10402132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200079 (or 200061 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10402132000 its reverse (23120401), we get a palindrome (10425252401).

The spelling of 10402132000 in words is "ten billion, four hundred two million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 200041 400082 800164 1000205 1600328 2000410 2600533 3200656 4000820 5001025 5201066 6401312 8001640 10002050 10402132 13002665 16003280 20004100 20804264 25005125 26005330 32006560 40008200 41608528 50010250 52010660 65013325 80016400 83217056 100020500 104021320 130026650 160032800 200041000 208042640 260053300 325066625 400082000 416085280 520106600 650133250 800164000 1040213200 1300266500 2080426400 2600533000 5201066000 10402132000