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11079311061 = 3721329316449
BaseRepresentation
bin10100101000110000…
…01101111011010101
31001121010200022120010
422110120031323111
5140142300423221
65031220030433
7541361406300
oct122430157325
931533608503
1011079311061
114775a89425
122192532419
1310774a6280
14771637b37
1544ca08c76
hex29460ded5

11079311061 has 96 divisors (see below), whose sum is σ = 19764864000. Its totient is φ = 5459650560.

The previous prime is 11079311057. The next prime is 11079311063. The reversal of 11079311061 is 16011397011.

11079311061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11079311061 - 22 = 11079311057 is a prime.

It is a super-2 number, since 2×110793110612 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11079311063) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1714765 + ... + 1721213.

It is an arithmetic number, because the mean of its divisors is an integer number (205884000).

Almost surely, 211079311061 is an apocalyptic number.

It is an amenable number.

11079311061 is a deficient number, since it is larger than the sum of its proper divisors (8685552939).

11079311061 is a wasteful number, since it uses less digits than its factorization.

11079311061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539 (or 6532 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The spelling of 11079311061 in words is "eleven billion, seventy-nine million, three hundred eleven thousand, sixty-one".

Divisors: 1 3 7 13 21 29 31 39 49 87 91 93 147 203 217 273 377 403 609 637 651 899 1131 1209 1421 1519 1911 2639 2697 2821 4263 4557 6293 6449 7917 8463 11687 18473 18879 19347 19747 35061 44051 45143 55419 59241 81809 83837 132153 135429 187021 199919 245427 251511 316001 561063 572663 586859 599757 948003 1309147 1399433 1717989 1760577 2431273 2598947 3927441 4108013 4198299 5797651 7293819 7796841 9164029 9796031 12324039 17018911 17392953 18192629 27492087 29388093 40583557 51056733 54577887 75369463 119132377 121750671 127348403 226108389 284084899 357397131 382045209 527586241 852254697 1582758723 3693103687 11079311061