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10211010985 = 571782120903
BaseRepresentation
bin10011000001001111…
…11010100110101001
3222100121211002210001
421200213322212221
5131403004322420
64405121223001
7511016106220
oct114047724651
928317732701
1010211010985
11436a93875a
121b8b791a61
13c6962b546
146cc1adcb7
153eb68eb0a
hex2609fa9a9

10211010985 has 32 divisors (see below), whose sum is σ = 14846188032. Its totient is φ = 6581621760.

The previous prime is 10211010967. The next prime is 10211011021. The reversal of 10211010985 is 58901011201.

10211010985 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10211010985 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478044 + ... + 498946.

It is an arithmetic number, because the mean of its divisors is an integer number (463943376).

Almost surely, 210211010985 is an apocalyptic number.

It is an amenable number.

10211010985 is a deficient number, since it is larger than the sum of its proper divisors (4635177047).

10211010985 is a wasteful number, since it uses less digits than its factorization.

10211010985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21753.

The product of its (nonzero) digits is 720, while the sum is 28.

The spelling of 10211010985 in words is "ten billion, two hundred eleven million, ten thousand, nine hundred eighty-five".

Divisors: 1 5 7 17 35 85 119 595 821 4105 5747 13957 20903 28735 69785 97699 104515 146321 355351 488495 731605 1776755 2487457 12437285 17161363 85806815 120129541 291743171 600647705 1458715855 2042202197 10211010985