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10292209921 = 7171973127491
BaseRepresentation
bin10011001010111011…
…01010100100000001
3222120021121102210001
421211131222210001
5132034301204141
64421141440001
7513023224630
oct114535524401
928507542701
1010292209921
114401758714
121bb2a10001
13c803bb556
146d8ca9517
1540387da31
hex26576a901

10292209921 has 64 divisors (see below), whose sum is σ = 13421445120. Its totient is φ = 7681443840.

The previous prime is 10292209903. The next prime is 10292209927. The reversal of 10292209921 is 12990229201.

It is not a de Polignac number, because 10292209921 - 211 = 10292207873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10292209927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20961486 + ... + 20961976.

It is an arithmetic number, because the mean of its divisors is an integer number (209710080).

Almost surely, 210292209921 is an apocalyptic number.

It is an amenable number.

10292209921 is a deficient number, since it is larger than the sum of its proper divisors (3129235199).

10292209921 is a wasteful number, since it uses less digits than its factorization.

10292209921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734.

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 10292209921 in words is "ten billion, two hundred ninety-two million, two hundred nine thousand, nine hundred twenty-one".

Divisors: 1 7 17 19 73 119 127 133 323 491 511 889 1241 1387 2159 2261 2413 3437 8347 8687 9271 9329 9709 15113 16891 23579 35843 41021 58429 62357 64897 65303 157607 158593 165053 176149 250901 287147 436499 609331 681017 1060069 1103249 1110151 1184783 1233043 2994533 4265317 4552061 4767119 7420483 8293481 11577289 20141311 20961731 31864427 77385037 81041023 86489159 140989177 541695259 605424113 1470315703 10292209921