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3114334113 = 311235377419
BaseRepresentation
bin1011100110100000…
…1111011110100001
322001001011120020220
42321220033132201
522334232142423
61233010553253
7140114255202
oct27150173641
98031146226
103114334113
111358a62350
1272ab98829
133a82a6567
142178895a9
1513362a9e3
hexb9a0f7a1

3114334113 has 32 divisors (see below), whose sum is σ = 4816143360. Its totient is φ = 1771323840.

The previous prime is 3114334009. The next prime is 3114334231.

3114334113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3114334113 - 218 = 3114071969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3114334913) 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, 1518 + ... + 78936.

It is an arithmetic number, because the mean of its divisors is an integer number (150504480).

Almost surely, 23114334113 is an apocalyptic number.

3114334113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3114334113 is a deficient number, since it is larger than the sum of its proper divisors (1701809247).

3114334113 is a wasteful number, since it uses less digits than its factorization.

3114334113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77509.

The product of its digits is 1296, while the sum is 24.

The square root of 3114334113 is about 55806.2193039450. The cubic root of 3114334113 is about 1460.3436535453.

It can be divided in two parts, 31143 and 34113, that added together give a palindrome (65256).

The spelling of 3114334113 in words is "three billion, one hundred fourteen million, three hundred thirty-four thousand, one hundred thirteen".

Divisors: 1 3 11 23 33 53 69 159 253 583 759 1219 1749 3657 13409 40227 77419 232257 851609 1780637 2554827 4103207 5341911 12309621 19587007 45135277 58761021 94373761 135405831 283121283 1038111371 3114334113