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1117000379 = 114311032141
BaseRepresentation
bin100001010010100…
…0001001010111011
32212211211111110102
41002211001022323
54241423003004
6302501110015
736452226605
oct10245011273
92784744412
101117000379
11523576a10
122720b830b
1314a553991
14a84c6175
15680e311e
hex429412bb

1117000379 has 16 divisors (see below), whose sum is σ = 1248597504. Its totient is φ = 990477600.

The previous prime is 1117000361. The next prime is 1117000397. The reversal of 1117000379 is 9730007111.

It is an interprime number because it is at equal distance from previous prime (1117000361) and next prime (1117000397).

It is a cyclic number.

It is not a de Polignac number, because 1117000379 - 28 = 1117000123 is a prime.

It is a super-2 number, since 2×11170003792 = 2495379693372287282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1117000879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520649 + ... + 522789.

It is an arithmetic number, because the mean of its divisors is an integer number (78037344).

Almost surely, 21117000379 is an apocalyptic number.

1117000379 is a deficient number, since it is larger than the sum of its proper divisors (131597125).

1117000379 is a wasteful number, since it uses less digits than its factorization.

1117000379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298.

The product of its (nonzero) digits is 1323, while the sum is 29.

The square root of 1117000379 is about 33421.5556041307. Note that the first 3 decimals coincide. The cubic root of 1117000379 is about 1037.5708775114.

The spelling of 1117000379 in words is "one billion, one hundred seventeen million, three hundred seventy-nine", and thus it is an aban number.

Divisors: 1 11 43 473 1103 2141 12133 23551 47429 92063 521719 1012693 2361523 25976753 101545489 1117000379