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104113002032 = 24134711299433
BaseRepresentation
bin110000011110110011…
…1100101011000110000
3100221201210222111100022
41200331213211120300
53201210412031112
6115455010543012
710344005626034
oct1407547453060
9327653874308
10104113002032
1140177091436
1218217297a68
139a82977a60
1450793cc1c4
152a95381d72
hex183d9e5630

104113002032 has 80 divisors (see below), whose sum is σ = 222077869440. Its totient is φ = 46983131136.

The previous prime is 104113002023. The next prime is 104113002043. The reversal of 104113002032 is 230200311401.

It is a super-2 number, since 2×1041130020322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104113002032.

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, 11032388 + ... + 11041820.

It is an arithmetic number, because the mean of its divisors is an integer number (2775973368).

Almost surely, 2104113002032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104113002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111038934720).

104113002032 is an abundant number, since it is smaller than the sum of its proper divisors (117964867408).

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

104113002032 is a wasteful number, since it uses less digits than its factorization.

104113002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10630 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 104113002032 its reverse (230200311401), we get a palindrome (334313313433).

The spelling of 104113002032 in words is "one hundred four billion, one hundred thirteen million, two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 1129 1222 2258 2444 4516 4888 9032 9433 9776 14677 18064 18866 29354 37732 53063 58708 75464 106126 117416 122629 150928 212252 234832 245258 424504 443351 490516 689819 849008 886702 981032 1379638 1773404 1962064 2759276 3546808 5518552 5763563 7093616 10649857 11037104 11527126 21299714 23054252 42599428 46108504 85198856 92217008 138448141 170397712 276896282 500543279 553792564 1001086558 1107585128 2002173116 2215170256 4004346232 6507062627 8008692464 13014125254 26028250508 52056501016 104113002032