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10131677500 = 225475031151
BaseRepresentation
bin10010110111110010…
…10010000100111100
3222011002112112200211
421123321102010330
5131222202140000
64353205002204
7506033560240
oct113371220474
928132475624
1010131677500
11432a08229a
121b690b3364
13c56072659
146c183c420
153e471d7ba
hex25be5213c

10131677500 has 120 divisors (see below), whose sum is σ = 25393471488. Its totient is φ = 3463800000.

The previous prime is 10131677447. The next prime is 10131677513. The reversal of 10131677500 is 577613101.

10131677500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8801925 + ... + 8803075.

Almost surely, 210131677500 is an apocalyptic number.

10131677500 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 10131677500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12696735744).

10131677500 is an abundant number, since it is smaller than the sum of its proper divisors (15261793988).

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

10131677500 is a wasteful number, since it uses less digits than its factorization.

10131677500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The spelling of 10131677500 in words is "ten billion, one hundred thirty-one million, six hundred seventy-seven thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 503 625 700 875 1006 1151 1250 1750 2012 2302 2500 2515 3500 3521 4375 4604 5030 5755 7042 8057 8750 10060 11510 12575 14084 16114 17500 17605 23020 25150 28775 32228 35210 40285 50300 57550 62875 70420 80570 88025 115100 125750 143875 161140 176050 201425 251500 287750 314375 352100 402850 440125 575500 578953 628750 719375 805700 880250 1007125 1157906 1257500 1438750 1760500 2014250 2200625 2315812 2877500 2894765 4028500 4052671 4401250 5035625 5789530 8105342 8802500 10071250 11579060 14473825 16210684 20142500 20263355 28947650 40526710 57895300 72369125 81053420 101316775 144738250 202633550 289476500 361845625 405267100 506583875 723691250 1013167750 1447382500 2026335500 2532919375 5065838750 10131677500