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104312120432 = 24132323393581
BaseRepresentation
bin110000100100101111…
…1001010010001110000
3100222020200122202102212
41201021133022101300
53202112400323212
6115530442431252
710351644252122
oct1411137122160
9328220582385
10104312120432
1140269521aa3
1218271b02528
139ab4cb39b0
145097a21212
152aa7ab4e22
hex18497ca470

104312120432 has 80 divisors (see below), whose sum is σ = 228091526208. Its totient is φ = 45852702720.

The previous prime is 104312120369. The next prime is 104312120483. The reversal of 104312120432 is 234021213401.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 104312120398 and 104312120407.

It is a congruent number.

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, 1067882 + ... + 1161462.

Almost surely, 2104312120432 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 104312120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114045763104).

104312120432 is an abundant number, since it is smaller than the sum of its proper divisors (123779405776).

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

104312120432 is a wasteful number, since it uses less digits than its factorization.

104312120432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93858 (or 93852 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 104312120432 its reverse (234021213401), we get a palindrome (338333333833).

The spelling of 104312120432 in words is "one hundred four billion, three hundred twelve million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 233 299 368 466 598 932 1196 1864 2392 3029 3728 4784 5359 6058 10718 12116 21436 24232 42872 48464 69667 85744 93581 139334 187162 278668 374324 557336 748648 1114672 1216553 1497296 2152363 2433106 4304726 4866212 8609452 9732424 17218904 19464848 21804373 27980719 34437808 43608746 55961438 87217492 111922876 174434984 223845752 283456849 348869968 447691504 501500579 566913698 1003001158 1133827396 2006002316 2267654792 4012004632 4535309584 6519507527 8024009264 13039015054 26078030108 52156060216 104312120432