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100340400204 = 2232114711934519
BaseRepresentation
bin101110101110011000…
…0010000000001001100
3100120222220011110112200
41131130300100001030
53120444120301304
6114032403001500
710151346220632
oct1353460200114
9316886143480
10100340400204
11396105a3890
1217543969290
1396011b4295
144bdc34d352
152924078e39
hex175cc1004c

100340400204 has 144 divisors (see below), whose sum is σ = 282882862080. Its totient is φ = 29727717120.

The previous prime is 100340400179. The next prime is 100340400221. The reversal of 100340400204 is 402004043001.

100340400204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22201857 + ... + 22206375.

It is an arithmetic number, because the mean of its divisors is an integer number (1964464320).

Almost surely, 2100340400204 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 100340400204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141441431040).

100340400204 is an abundant number, since it is smaller than the sum of its proper divisors (182542461876).

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

100340400204 is a wasteful number, since it uses less digits than its factorization.

100340400204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 100340400204 its reverse (402004043001), we get a palindrome (502344443205).

The spelling of 100340400204 in words is "one hundred billion, three hundred forty million, four hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1193 1551 1692 2068 2386 3102 3579 4519 4653 4772 6204 7158 9038 9306 10737 13123 13557 14316 18076 18612 21474 26246 27114 39369 40671 42948 49709 52492 54228 56071 78738 81342 99418 112142 118107 149127 157476 162684 168213 198836 212393 224284 236214 298254 336426 424786 447381 472428 504639 596508 616781 637179 672852 849572 894762 1009278 1233562 1274358 1789524 1850343 1911537 2018556 2336323 2467124 2548716 3700686 3823074 4672646 5391167 5551029 7008969 7401372 7646148 9345292 10782334 11102058 14017938 16173501 21026907 21564668 22204116 28035876 32347002 42053814 48520503 59302837 64694004 84107628 97041006 118605674 177908511 194082012 237211348 253384849 355817022 506769698 533725533 711634044 760154547 1013539396 1067451066 1520309094 2134902132 2280463641 2787233339 3040618188 4560927282 5574466678 8361700017 9121854564 11148933356 16723400034 25085100051 33446800068 50170200102 100340400204