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10103685090 = 23537671031319
BaseRepresentation
bin10010110100011100…
…11111111111100010
3222002010212101022220
421122032133333202
5131143020410330
64350325011510
7505243622562
oct113216377742
928063771286
1010103685090
1143152a3174
121b5b853b96
13c503213b5
146bbc32da2
153e203e710
hex25a39ffe2

10103685090 has 128 divisors (see below), whose sum is σ = 25540669440. Its totient is φ = 2555359488.

The previous prime is 10103685061. The next prime is 10103685139. The reversal of 10103685090 is 9058630101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7659451 + ... + 7660769.

It is an arithmetic number, because the mean of its divisors is an integer number (199536480).

Almost surely, 210103685090 is an apocalyptic number.

10103685090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103685090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12770334720).

10103685090 is an abundant number, since it is smaller than the sum of its proper divisors (15436984350).

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

10103685090 is a wasteful number, since it uses less digits than its factorization.

10103685090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536.

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 10103685090 in words is "ten billion, one hundred three million, six hundred eighty-five thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 37 67 74 103 111 134 185 201 206 222 309 335 370 402 515 555 618 670 1005 1030 1110 1319 1545 2010 2479 2638 3090 3811 3957 4958 6595 6901 7437 7622 7914 11433 12395 13190 13802 14874 19055 19785 20703 22866 24790 34505 37185 38110 39570 41406 48803 57165 69010 74370 88373 97606 103515 114330 135857 146409 176746 207030 244015 255337 265119 271714 292818 407571 441865 488030 510674 530238 679285 732045 766011 815142 883730 1276685 1325595 1358570 1464090 1532022 2037855 2553370 2651190 3269801 3830055 4075710 5026709 6539602 7660110 9102419 9809403 10053418 15080127 16349005 18204838 19618806 25133545 27307257 30160254 32698010 45512095 49047015 50267090 54614514 75400635 91024190 98094030 136536285 150801270 273072570 336789503 673579006 1010368509 1683947515 2020737018 3367895030 5051842545 10103685090