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10012404331104 = 253793001160207
BaseRepresentation
bin1001000110110011000111…
…0011011011001001100000
31022110011202200011120011220
42101230301303123021200
52303020401002043404
633143345100535040
72052241466412030
oct221546163331140
938404680146156
1010012404331104
11321026724962a
121158579b51480
1357821ccb9b06
1426886271b8c0
151256a3e304d9
hex91b31cdb260

10012404331104 has 96 divisors (see below), whose sum is σ = 30037723462656. Its totient is φ = 2860638336000.

The previous prime is 10012404331043. The next prime is 10012404331117. The reversal of 10012404331104 is 40113340421001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 62416569 + ... + 62576775.

It is an arithmetic number, because the mean of its divisors is an integer number (312892952736).

Almost surely, 210012404331104 is an apocalyptic number.

10012404331104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10012404331104 is an abundant number, since it is smaller than the sum of its proper divisors (20025319131552).

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

10012404331104 is a wasteful number, since it uses less digits than its factorization.

10012404331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253228 (or 253220 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10012404331104 its reverse (40113340421001), we get a palindrome (50125744752105).

The spelling of 10012404331104 in words is "ten trillion, twelve billion, four hundred four million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 93001 160207 186002 279003 320414 372004 480621 558006 640828 651007 744008 961242 1116012 1121449 1281656 1302014 1488016 1922484 1953021 2232024 2242898 2563312 2604028 2976032 3364347 3844968 3906042 4464048 4485796 5126624 5208056 6728694 7689936 7812084 8928096 8971592 10416112 13457388 15379872 15624168 17943184 20832224 26914776 31248336 35886368 53829552 62496672 107659104 14899411207 29798822414 44698233621 59597644828 89396467242 104295878449 119195289656 178792934484 208591756898 238390579312 312887635347 357585868968 417183513796 476781158624 625775270694 715171737936 834367027592 1251550541388 1430343475872 1668734055184 2503101082776 3337468110368 5006202165552 10012404331104