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104332100004 = 223311557157669
BaseRepresentation
bin110000100101010101…
…1011000000110100100
3100222022002020211021000
41201022223120012210
53202133004200004
6115532434553300
710352306134446
oct1411253300644
9328262224230
10104332100004
1140279828a40
1218278738830
139ab918aa22
14509a542496
152aa970ec39
hex184aad81a4

104332100004 has 96 divisors (see below), whose sum is σ = 295612329600. Its totient is φ = 31558826880.

The previous prime is 104332099969. The next prime is 104332100011. The reversal of 104332100004 is 400001233401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 104332100004.

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, 582882 + ... + 740550.

It is an arithmetic number, because the mean of its divisors is an integer number (3079295100).

Almost surely, 2104332100004 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 104332100004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147806164800).

104332100004 is an abundant number, since it is smaller than the sum of its proper divisors (191280229596).

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

104332100004 is a wasteful number, since it uses less digits than its factorization.

104332100004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158250 (or 158242 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 104332100004 its reverse (400001233401), we get a palindrome (504333333405).

The spelling of 104332100004 in words is "one hundred four billion, three hundred thirty-two million, one hundred thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 557 594 1114 1188 1671 2228 3342 5013 6127 6684 10026 12254 15039 18381 20052 24508 30078 36762 55143 60156 73524 110286 157669 165429 220572 315338 330858 473007 630676 661716 946014 1419021 1734359 1892028 2838042 3468718 4257063 5203077 5676084 6937436 8514126 10406154 15609231 17028252 20812308 31218462 46827693 62436924 87821633 93655386 175643266 187310772 263464899 351286532 526929798 790394697 966037963 1053859596 1580789394 1932075926 2371184091 2898113889 3161578788 3864151852 4742368182 5796227778 8694341667 9484736364 11592455556 17388683334 26083025001 34777366668 52166050002 104332100004