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3111661113 = 3111737149909
BaseRepresentation
bin1011100101111000…
…0010111000111001
322000212010202120220
42321132002320321
522333041123423
61232433410253
7140052453201
oct27136027071
98025122526
103111661113
1113574a7060
1272a109989
133a787b9c2
14217391401
1513329d9e3
hexb9782e39

3111661113 has 32 divisors (see below), whose sum is σ = 4921845120. Its totient is φ = 1726940160.

The previous prime is 3111661109. The next prime is 3111661117.

3111661113 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3111661109) and next prime (3111661117).

It is not a de Polignac number, because 3111661113 - 22 = 3111661109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3111661117) 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 31 ways as a sum of consecutive naturals, for example, 54198 + ... + 95711.

It is an arithmetic number, because the mean of its divisors is an integer number (153807660).

Almost surely, 23111661113 is an apocalyptic number.

3111661113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3111661113 is a deficient number, since it is larger than the sum of its proper divisors (1810184007).

3111661113 is a wasteful number, since it uses less digits than its factorization.

3111661113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149977.

The product of its digits is 324, while the sum is 24.

The square root of 3111661113 is about 55782.2652193329. The cubic root of 3111661113 is about 1459.9257347913.

It can be divided in two parts, 31116 and 61113, that added together give a palindrome (92229).

The spelling of 3111661113 in words is "three billion, one hundred eleven million, six hundred sixty-one thousand, one hundred thirteen".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 1221 1887 6919 20757 149909 449727 1648999 2548453 4946997 5546633 7645359 16639899 28032983 61012963 84098949 94292761 183038889 282878283 1037220371 3111661113