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104402111232 = 283829163981
BaseRepresentation
bin110000100111011011…
…0011100101100000000
3100222110221222202121110
41201032312130230000
53202303420024412
6115543415323320
710354116206016
oct1411666345400
9328427882543
10104402111232
11403052a7461
1218298080540
139aca8316a3
1450a59688b6
152ab093dd3c
hex184ed9cb00

104402111232 has 72 divisors (see below), whose sum is σ = 278198742640. Its totient is φ = 34758512640.

The previous prime is 104402111213. The next prime is 104402111239. The reversal of 104402111232 is 232111204401.

It is a junction number, because it is equal to n+sod(n) for n = 104402111199 and 104402111208.

It is not an unprimeable number, because it can be changed into a prime (104402111239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554682 + ... + 718662.

Almost surely, 2104402111232 is an apocalyptic number.

104402111232 is a gapful number since it is divisible by the number (12) 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 104402111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139099371320).

104402111232 is an abundant number, since it is smaller than the sum of its proper divisors (173796631408).

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

104402111232 is an equidigital number, since it uses as much as digits as its factorization.

104402111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164829 (or 164815 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 104402111232 its reverse (232111204401), we get a palindrome (336513315633).

The spelling of 104402111232 in words is "one hundred four billion, four hundred two million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 829 1658 2487 3316 4974 6632 9948 13264 19896 26528 39792 53056 79584 106112 159168 163981 212224 318336 327962 491943 636672 655924 983886 1311848 1967772 2623696 3935544 5247392 7871088 10494784 15742176 20989568 31484352 41979136 62968704 125937408 135940249 271880498 407820747 543760996 815641494 1087521992 1631282988 2175043984 3262565976 4350087968 6525131952 8700175936 13050263904 17400351872 26100527808 34800703744 52201055616 104402111232