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104101731904 = 2631213012
BaseRepresentation
bin110000011110011110…
…0100101111001000000
3100221201000202220122011
41200330330211321000
53201200020410104
6115453525222304
710343511056362
oct1407474457100
9327630686564
10104101731904
1140170793a85
1218213561994
139a80530041
145077ad6d32
152a943a7904
hex183cf25e40

104101731904 has 63 divisors (see below), whose sum is σ = 213619801233. Its totient is φ = 50333088000.

The previous prime is 104101731883. The next prime is 104101731941. The reversal of 104101731904 is 409137101401.

The square root of 104101731904 is 322648.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 159971904 + 103941760000 = 12648^2 + 322400^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80016054 + ... + 80017354.

Almost surely, 2104101731904 is an apocalyptic number.

104101731904 is the 322648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104101731904

104101731904 is an abundant number, since it is smaller than the sum of its proper divisors (109518069329).

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

104101731904 is an frugal number, since it uses more digits than its factorization.

104101731904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 104101731904 in words is "one hundred four billion, one hundred one million, seven hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1301 1922 1984 2602 3844 5204 7688 10408 15376 20816 30752 40331 41632 61504 80662 83264 161324 322648 645296 1250261 1290592 1692601 2500522 2581184 3385202 5001044 6770404 10002088 13540808 20004176 27081616 40008352 52470631 54163232 80016704 104941262 108326464 209882524 419765048 839530096 1626589561 1679060192 3253179122 3358120384 6506358244 13012716488 26025432976 52050865952 104101731904