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10041214120 = 2357178320113
BaseRepresentation
bin10010101101000000…
…01100010010101000
3221220210022112021021
421112200030102220
5131031022322440
64340214022224
7503554624510
oct112640142250
927823275237
1010041214120
114293004873
121b42947974
13c403ba822
146b3810840
153db7ee84a
hex25680c4a8

10041214120 has 64 divisors (see below), whose sum is σ = 25836030720. Its totient is φ = 3440600064.

The previous prime is 10041214097. The next prime is 10041214133. The reversal of 10041214120 is 2141214001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10041214094 and 10041214103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489184 + ... + 509296.

It is an arithmetic number, because the mean of its divisors is an integer number (403687980).

Almost surely, 210041214120 is an apocalyptic number.

10041214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041214120 is an abundant number, since it is smaller than the sum of its proper divisors (15794816600).

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

10041214120 is a wasteful number, since it uses less digits than its factorization.

10041214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21914 (or 21910 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10041214120 its reverse (2141214001), we get a palindrome (12182428121).

The spelling of 10041214120 in words is "ten billion, forty-one million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1783 3566 7132 8915 12481 14264 17830 20113 24962 35660 40226 49924 62405 71320 80452 99848 100565 124810 140791 160904 201130 249620 281582 402260 499240 563164 703955 804520 1126328 1407910 2815820 5631640 35861479 71722958 143445916 179307395 251030353 286891832 358614790 502060706 717229580 1004121412 1255151765 1434459160 2008242824 2510303530 5020607060 10041214120