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100425531400 = 23521753875483
BaseRepresentation
bin101110110000111010…
…1000000000000001000
3100121012211100120120221
41131201311000000020
53121132414001100
6114045043355424
710153431634555
oct1354165000010
9317184316527
10100425531400
113965465a147
1217568382b74
139615a2007c
144c0978da2c
15292b79301a
hex1761d40008

100425531400 has 96 divisors (see below), whose sum is σ = 247315019040. Its totient is φ = 37793346560.

The previous prime is 100425531379. The next prime is 100425531431. The reversal of 100425531400 is 4135524001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 18313059 + ... + 18318541.

It is an arithmetic number, because the mean of its divisors is an integer number (2576198115).

Almost surely, 2100425531400 is an apocalyptic number.

100425531400 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 100425531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123657509520).

100425531400 is an abundant number, since it is smaller than the sum of its proper divisors (146889487640).

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

100425531400 is a wasteful number, since it uses less digits than its factorization.

100425531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10903 (or 10894 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 100425531400 in words is "one hundred billion, four hundred twenty-five million, five hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 5387 5483 10774 10966 21548 21932 26935 27415 43096 43864 53870 54830 91579 93211 107740 109660 134675 137075 183158 186422 215480 219320 269350 274150 366316 372844 457895 466055 538700 548300 732632 745688 915790 932110 1077400 1096600 1831580 1864220 2289475 2330275 3663160 3728440 4578950 4660550 9157900 9321100 18315800 18642200 29536921 59073842 118147684 147684605 236295368 295369210 502127657 590738420 738423025 1004255314 1181476840 1476846050 2008510628 2510638285 2953692100 4017021256 5021276570 5907384200 10042553140 12553191425 20085106280 25106382850 50212765700 100425531400