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10100501060 = 22513232958243
BaseRepresentation
bin10010110100000100…
…10110101001000100
3222001220212121122212
421122002112221010
5131141212013220
64350132442552
7505204561646
oct113202265104
928056777585
1010100501060
114313518a41
121b5a779458
13c4c778060
146bb644896
153e1b110c5
hex25a096a44

10100501060 has 96 divisors (see below), whose sum is σ = 24658179840. Its totient is φ = 3444198912.

The previous prime is 10100501041. The next prime is 10100501071. The reversal of 10100501060 is 6010500101.

It is a super-2 number, since 2×101005010602 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 144299 + ... + 202541.

It is an arithmetic number, because the mean of its divisors is an integer number (256856040).

Almost surely, 210100501060 is an apocalyptic number.

10100501060 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 10100501060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329089920).

10100501060 is an abundant number, since it is smaller than the sum of its proper divisors (14557678780).

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

10100501060 is a wasteful number, since it uses less digits than its factorization.

10100501060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58317 (or 58315 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The spelling of 10100501060 in words is "ten billion, one hundred million, five hundred one thousand, sixty".

Divisors: 1 2 4 5 10 13 20 23 26 29 46 52 58 65 92 115 116 130 145 230 260 290 299 377 460 580 598 667 754 1196 1334 1495 1508 1885 2668 2990 3335 3770 5980 6670 7540 8671 13340 17342 34684 43355 58243 86710 116486 173420 232972 291215 582430 757159 1164860 1339589 1514318 1689047 2679178 3028636 3378094 3785795 5358356 6697945 6756188 7571590 8445235 13395890 15143180 16890470 17414657 21957611 26791780 33780940 34829314 38848081 43915222 69658628 77696162 87073285 87830444 109788055 155392324 174146570 194240405 219576110 348293140 388480810 439152220 505025053 776961620 1010050106 2020100212 2525125265 5050250530 10100501060