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10730076841 = 1123123911969
BaseRepresentation
bin10011111111000111…
…11111101010101001
31000200210112101021101
421333203333222221
5133433344424331
64532422441401
7526621101601
oct117743775251
930623471241
1010730076841
114606937600
1220b5593261
13102002a7c3
1473b0c9c01
1542c022061
hex27f8ffaa9

10730076841 has 24 divisors (see below), whose sum is σ = 12226636800. Its totient is φ = 9399667200.

The previous prime is 10730076827. The next prime is 10730076857. The reversal of 10730076841 is 14867003701.

It is not a de Polignac number, because 10730076841 - 223 = 10721688233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10730076841.

It is not an unprimeable number, because it can be changed into a prime (10730376841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 890505 + ... + 902473.

It is an arithmetic number, because the mean of its divisors is an integer number (509443200).

Almost surely, 210730076841 is an apocalyptic number.

10730076841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10730076841 is a deficient number, since it is larger than the sum of its proper divisors (1496559959).

10730076841 is a wasteful number, since it uses less digits than its factorization.

10730076841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12261 (or 12250 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 10730076841 in words is "ten billion, seven hundred thirty million, seventy-six thousand, eight hundred forty-one".

Divisors: 1 11 31 121 239 341 2629 3751 7409 11969 28919 81499 131659 371039 896489 1448249 2860591 4081429 31466501 44895719 88678321 346131511 975461531 10730076841