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231870100 = 225271130113
BaseRepresentation
bin11011101001000…
…00111010010100
3121011022012222111
431310200322110
5433324320400
635001440404
75513602060
oct1564407224
9534265874
10231870100
11109980490
12657a0104
1339065557
1422b1aaa0
15155523ba
hexdd20e94

231870100 has 72 divisors (see below), whose sum is σ = 627334848. Its totient is φ = 72268800.

The previous prime is 231870097. The next prime is 231870143. The reversal of 231870100 is 1078132.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7357 + ... + 22756.

It is an arithmetic number, because the mean of its divisors is an integer number (8712984).

Almost surely, 2231870100 is an apocalyptic number.

231870100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231870100 is an abundant number, since it is smaller than the sum of its proper divisors (395464748).

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

231870100 is a wasteful number, since it uses less digits than its factorization.

231870100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30145 (or 30138 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 231870100 is about 15227.2814382607. The cubic root of 231870100 is about 614.3486615553.

The spelling of 231870100 in words is "two hundred thirty-one million, eight hundred seventy thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 30113 60226 120452 150565 210791 301130 331243 421582 602260 662486 752825 843164 1053955 1324972 1505650 1656215 2107910 2318701 3011300 3312430 4215820 4637402 5269775 6624860 8281075 9274804 10539550 11593505 16562150 21079100 23187010 33124300 46374020 57967525 115935050 231870100