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100166430 = 23571336691
BaseRepresentation
bin1011111100001…
…10101100011110
320222110222111210
411332012230132
5201120311210
613534525250
72324254260
oct576065436
9228428453
10100166430
11515a5581
1229666826
13179a14a0
14d435b30
158bd8e20
hex5f86b1e

100166430 has 64 divisors (see below), whose sum is σ = 295884288. Its totient is φ = 21133440.

The previous prime is 100166419. The next prime is 100166459. The reversal of 100166430 is 34661001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100166397 and 100166406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15616 + ... + 21075.

It is an arithmetic number, because the mean of its divisors is an integer number (4623192).

Almost surely, 2100166430 is an apocalyptic number.

100166430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100166430 is an abundant number, since it is smaller than the sum of its proper divisors (195717858).

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

100166430 is a wasteful number, since it uses less digits than its factorization.

100166430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36721.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 100166430 is about 10008.3180405101. The cubic root of 100166430 is about 464.4162405174.

The spelling of 100166430 in words is "one hundred million, one hundred sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 36691 73382 110073 183455 220146 256837 366910 476983 513674 550365 770511 953966 1100730 1284185 1430949 1541022 2384915 2568370 2861898 3338881 3852555 4769830 6677762 7154745 7705110 10016643 14309490 16694405 20033286 33388810 50083215 100166430