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10204010124 = 22371112318971
BaseRepresentation
bin10011000000011010…
…01101011010001100
3222100010122102101220
421200031031122030
5131344211310444
64404311203340
7510602440440
oct114015153214
928303572356
1010204010124
114366996920
121b89376550
13c68049b19
146cb2aa820
153eac5a619
hex26034d68c

10204010124 has 96 divisors (see below), whose sum is σ = 29711818752. Its totient is φ = 2647944000.

The previous prime is 10204010101. The next prime is 10204010149. The reversal of 10204010124 is 42101040201.

It is a super-2 number, since 2×102040101242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132959 + ... + 1141929.

It is an arithmetic number, because the mean of its divisors is an integer number (309498112).

Almost surely, 210204010124 is an apocalyptic number.

10204010124 is a gapful number since it is divisible by the number (14) 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 10204010124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14855909376).

10204010124 is an abundant number, since it is smaller than the sum of its proper divisors (19507808628).

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

10204010124 is a wasteful number, since it uses less digits than its factorization.

10204010124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10227 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10204010124 its reverse (42101040201), we get a palindrome (52305050325).

The spelling of 10204010124 in words is "ten billion, two hundred four million, ten thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1231 2462 3693 4924 7386 8617 8971 13541 14772 17234 17942 25851 26913 27082 34468 35884 40623 51702 53826 54164 62797 81246 94787 98681 103404 107652 125594 162492 188391 189574 197362 251188 284361 296043 376782 379148 394724 568722 592086 690767 753564 1137444 1184172 1381534 2072301 2763068 4144602 8289204 11043301 22086602 33129903 44173204 66259806 77303107 121476311 132519612 154606214 231909321 242952622 309212428 364428933 463818642 485905244 728857866 850334177 927637284 1457715732 1700668354 2551002531 3401336708 5102005062 10204010124