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231242100 = 223527310559
BaseRepresentation
bin11011100100001…
…11100101110100
3121010010022112020
431302013211310
5433144221400
634540153140
75505345135
oct1562074564
9533108466
10231242100
11109591681
12655387b0
1338ba575b
14229d5c8c
151547b2a0
hexdc87974

231242100 has 72 divisors (see below), whose sum is σ = 678289920. Its totient is φ = 60814080.

The previous prime is 231242059. The next prime is 231242111. The reversal of 231242100 is 1242132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 231242100.

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, 16621 + ... + 27179.

Almost surely, 2231242100 is an apocalyptic number.

231242100 is a gapful number since it is divisible by the number (20) 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 231242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339144960).

231242100 is an abundant number, since it is smaller than the sum of its proper divisors (447047820).

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

231242100 is a wasteful number, since it uses less digits than its factorization.

231242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10649 (or 10642 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 231242100 is about 15206.6465731272. The cubic root of 231242100 is about 613.7935234323.

Adding to 231242100 its reverse (1242132), we get a palindrome (232484232).

The spelling of 231242100 in words is "two hundred thirty-one million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10559 10950 21118 21900 31677 42236 52795 63354 105590 126708 158385 211180 263975 316770 527950 633540 770807 791925 1055900 1541614 1583850 2312421 3083228 3167700 3854035 4624842 7708070 9249684 11562105 15416140 19270175 23124210 38540350 46248420 57810525 77080700 115621050 231242100