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104020214312 = 237171011636637
BaseRepresentation
bin110000011100000010…
…1101000001000101000
3100221111100101101112002
41200320011220020220
53201013133324222
6115441454110132
710341501142640
oct1407005501050
9327440341462
10104020214312
1140129776673
12181b01ab348
139a6968ac91
14506ad57520
152a8c154392
hex1838168228

104020214312 has 128 divisors (see below), whose sum is σ = 239847402240. Its totient is φ = 41281228800.

The previous prime is 104020214297. The next prime is 104020214357. The reversal of 104020214312 is 213412020401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15669458 + ... + 15676094.

It is an arithmetic number, because the mean of its divisors is an integer number (1873807830).

Almost surely, 2104020214312 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 104020214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119923701120).

104020214312 is an abundant number, since it is smaller than the sum of its proper divisors (135827187928).

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

104020214312 is a wasteful number, since it uses less digits than its factorization.

104020214312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 104020214312 its reverse (213412020401), we get a palindrome (317432234713).

The spelling of 104020214312 in words is "one hundred four billion, twenty million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 101 119 136 163 202 238 326 404 476 652 707 808 952 1141 1304 1414 1717 2282 2771 2828 3434 4564 5542 5656 6637 6868 9128 11084 12019 13274 13736 16463 19397 22168 24038 26548 32926 38794 46459 48076 53096 65852 77588 92918 96152 112829 115241 131704 155176 185836 225658 230482 279871 371672 451316 460964 559742 670337 789803 902632 921928 1081831 1119484 1340674 1579606 1959097 2163662 2238968 2681348 3159212 3918194 4327324 4692359 5362696 6318424 7572817 7836388 8654648 9384718 11395729 15145634 15672776 18391127 18769436 22791458 30291268 36782254 37538872 45582916 60582536 73564508 79770103 91165832 109264931 128737889 147129016 159540206 218529862 257475778 319080412 437059724 514951556 638160824 764854517 874119448 1029903112 1529709034 1857503827 3059418068 3715007654 6118836136 7430015308 13002526789 14860030616 26005053578 52010107156 104020214312