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1117471107027 = 311179781125321
BaseRepresentation
bin10000010000101110011…
…101111110011111010011
310221211101111000221222210
4100100232131332133103
5121302040100411102
62213205324003203
7143506655454432
oct20205635763723
93854344027883
101117471107027
113a0a0a342320
121606a6990503
13814b9578622
143c12b97b119
151e1046d536c
hex1042e77e7d3

1117471107027 has 64 divisors (see below), whose sum is σ = 1740980279808. Its totient is φ = 630042624000.

The previous prime is 1117471107001. The next prime is 1117471107041. The reversal of 1117471107027 is 7207011747111.

It is not a de Polignac number, because 1117471107027 - 215 = 1117471074259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1117471105027) 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 63 ways as a sum of consecutive naturals, for example, 44119527 + ... + 44144847.

It is an arithmetic number, because the mean of its divisors is an integer number (27202816872).

Almost surely, 21117471107027 is an apocalyptic number.

1117471107027 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1117471107027 is a deficient number, since it is larger than the sum of its proper divisors (623509172781).

1117471107027 is a wasteful number, since it uses less digits than its factorization.

1117471107027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26260.

The product of its (nonzero) digits is 19208, while the sum is 39.

The spelling of 1117471107027 in words is "one trillion, one hundred seventeen billion, four hundred seventy-one million, one hundred seven thousand, twenty-seven".

Divisors: 1 3 11 17 33 51 97 187 291 561 811 1067 1649 2433 3201 4947 8921 13787 18139 25321 26763 41361 54417 75963 78667 151657 236001 278531 430457 454971 835593 865337 1291371 1337339 2456137 2596011 4012017 4735027 7368411 14205081 14710729 20535331 27017507 41754329 44132187 61605993 81052521 125262987 225888641 349100627 459297619 677665923 1047301881 1377892857 1991927107 3840106897 5975781321 11520320691 21911198177 33862760819 65733594531 101588282457 372490369009 1117471107027