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10001199204 = 223223432571093
BaseRepresentation
bin10010101000001111…
…00011000001100100
3221211000000120010100
421110013203001210
5130440301333304
64332224224100
7502560535113
oct112407430144
927730016110
1010001199204
114272463a97
121b3146b030
13c3501a269
146ac395c7a
153d8048439
hex2541e3064

10001199204 has 144 divisors (see below), whose sum is σ = 27123288192. Its totient is φ = 3099672576.

The previous prime is 10001199193. The next prime is 10001199253. The reversal of 10001199204 is 40299110001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9149682 + ... + 9150774.

It is an arithmetic number, because the mean of its divisors is an integer number (188356168).

Almost surely, 210001199204 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 10001199204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561644096).

10001199204 is an abundant number, since it is smaller than the sum of its proper divisors (17122088988).

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

10001199204 is a wasteful number, since it uses less digits than its factorization.

10001199204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10001199204 in words is "ten billion, one million, one hundred ninety-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 257 258 276 387 414 514 516 771 774 828 989 1028 1093 1542 1548 1978 2186 2313 2967 3084 3279 3956 4372 4626 5911 5934 6558 8901 9252 9837 11051 11822 11868 13116 17733 17802 19674 22102 23644 25139 33153 35466 35604 39348 44204 46999 50278 53199 66306 70932 75417 93998 99459 100556 106398 132612 140997 150834 187996 198918 212796 226251 254173 280901 281994 301668 397836 422991 452502 508346 561802 563988 762519 842703 845982 905004 1016692 1080977 1123604 1525038 1685406 1691964 2161954 2287557 2528109 3050076 3242931 3370812 4323908 4575114 5056218 6460723 6485862 9150228 9728793 10112436 12078743 12921446 12971724 19382169 19457586 24157486 25842892 36236229 38764338 38915172 48314972 58146507 72472458 77528676 108708687 116293014 144944916 217417374 232586028 277811089 434834748 555622178 833433267 1111244356 1666866534 2500299801 3333733068 5000599602 10001199204