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1013020112104 = 2371113599211187
BaseRepresentation
bin11101011110111001011…
…01000011010011101000
310120211210010001122120021
432233130231003103220
5113044131122041404
62053213000410224
7133121403610360
oct16573455032350
93524703048507
101013020112104
1136068a497920
121443b6476974
13746b188c9a0
143705d7299a0
151b53e83c454
hexebdcb434e8

1013020112104 has 128 divisors (see below), whose sum is σ = 2554530048000. Its totient is φ = 363712976640.

The previous prime is 1013020112017. The next prime is 1013020112107. The reversal of 1013020112104 is 4012110203101.

It is not an unprimeable number, because it can be changed into a prime (1013020112107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4691199 + ... + 4902385.

It is an arithmetic number, because the mean of its divisors is an integer number (19957266000).

Almost surely, 21013020112104 is an apocalyptic number.

1013020112104 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 1013020112104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277265024000).

1013020112104 is an abundant number, since it is smaller than the sum of its proper divisors (1541509935896).

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

1013020112104 is a wasteful number, since it uses less digits than its factorization.

1013020112104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211823 (or 211819 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1013020112104 its reverse (4012110203101), we get a palindrome (5025130315205).

The spelling of 1013020112104 in words is "one trillion, thirteen billion, twenty million, one hundred twelve thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 599 616 728 1001 1144 1198 2002 2396 4004 4193 4792 6589 7787 8008 8386 13178 15574 16772 26356 31148 33544 46123 52712 54509 62296 85657 92246 109018 171314 184492 211187 218036 342628 368984 422374 436072 599599 685256 844748 1199198 1478309 1689496 2323057 2398396 2745431 2956618 4646114 4796792 5490862 5913236 9292228 10981724 11826472 16261399 18584456 19218017 21963448 30199741 32522798 38436034 60399482 65045596 76872068 120798964 126501013 130091192 153744136 211398187 241597928 253002026 422796374 506004052 845592748 885507091 1012008104 1391511143 1644513169 1691185496 1771014182 2783022286 3289026338 3542028364 5566044572 6578052676 7084056728 9740578001 11132089144 11511592183 13156105352 18089644859 19481156002 23023184366 36179289718 38962312004 46046368732 72358579436 77924624008 92092737464 126627514013 144717158872 253255028026 506510056052 1013020112104