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104121133504 = 2683132714771
BaseRepresentation
bin110000011111000011…
…0100110100111000000
3100221202101021121121221
41200332012212213000
53201220002233004
6115455501124424
710344135013663
oct1407606464700
9327671247557
10104121133504
1140180735763
1218219b59714
139a84563c8b
14507a5076da
152a95e3b354
hex183e1a69c0

104121133504 has 56 divisors (see below), whose sum is σ = 209276460288. Its totient is φ = 51391092480.

The previous prime is 104121133453. The next prime is 104121133511. The reversal of 104121133504 is 405331121401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7041639 + ... + 7056409.

It is an arithmetic number, because the mean of its divisors is an integer number (3737079648).

Almost surely, 2104121133504 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 104121133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104638230144).

104121133504 is an abundant number, since it is smaller than the sum of its proper divisors (105155326784).

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

104121133504 is a wasteful number, since it uses less digits than its factorization.

104121133504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16193 (or 16183 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 104121133504 its reverse (405331121401), we get a palindrome (509452254905).

The spelling of 104121133504 in words is "one hundred four billion, one hundred twenty-one million, one hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1327 1328 2654 2656 5308 5312 10616 14771 21232 29542 42464 59084 84928 110141 118168 220282 236336 440564 472672 881128 945344 1225993 1762256 2451986 3524512 4903972 7049024 9807944 19601117 19615888 39202234 39231776 78404468 78463552 156808936 313617872 627235744 1254471488 1626892711 3253785422 6507570844 13015141688 26030283376 52060566752 104121133504