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102131100 = 223252373067
BaseRepresentation
bin1100001011001…
…10010110011100
321010011210112100
412011212112130
5202121143400
614045005100
72350046211
oct605462634
9233153470
10102131100
1152717675
122a253790
131820b806
14d7c7b08
158e76100
hex616659c

102131100 has 108 divisors (see below), whose sum is σ = 328883464. Its totient is φ = 26490240.

The previous prime is 102131093. The next prime is 102131111. The reversal of 102131100 is 1131201.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 31767 + ... + 34833.

Almost surely, 2102131100 is an apocalyptic number.

102131100 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 102131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164441732).

102131100 is an abundant number, since it is smaller than the sum of its proper divisors (226752364).

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

102131100 is a wasteful number, since it uses less digits than its factorization.

102131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 102131100 is about 10105.9932713217. The cubic root of 102131100 is about 467.4329643555.

Adding to 102131100 its reverse (1131201), we get a palindrome (103262301).

The spelling of 102131100 in words is "one hundred two million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3067 3330 3700 5550 6134 6660 8325 9201 11100 12268 15335 16650 18402 27603 30670 33300 36804 46005 55206 61340 76675 92010 110412 113479 138015 153350 184020 226958 230025 276030 306700 340437 453916 460050 552060 567395 680874 690075 920100 1021311 1134790 1361748 1380150 1702185 2042622 2269580 2760300 2836975 3404370 4085244 5106555 5673950 6808740 8510925 10213110 11347900 17021850 20426220 25532775 34043700 51065550 102131100