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3112766672113 = 717292114274833
BaseRepresentation
bin101101010010111111010…
…110100000110011110001
3102000120121001122202110201
4231102333112200303301
5401444421232001423
610341552452355201
7440614155104020
oct55227726406361
912016531582421
103112766672113
11aa013170056a
12423337315b01
131976c02883a7
14aa9317068b7
1555e846912ad
hex2d4bf5a0cf1

3112766672113 has 32 divisors (see below), whose sum is σ = 3915063970560. Its totient is φ = 2413057167360.

The previous prime is 3112766672107. The next prime is 3112766672129.

It is a happy number.

3112766672113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3112766672113 - 217 = 3112766541041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3112766673113) 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 31 ways as a sum of consecutive naturals, for example, 1409256 + ... + 2865577.

It is an arithmetic number, because the mean of its divisors is an integer number (122345749080).

Almost surely, 23112766672113 is an apocalyptic number.

It is an amenable number.

3112766672113 is a deficient number, since it is larger than the sum of its proper divisors (802297298447).

3112766672113 is a wasteful number, since it uses less digits than its factorization.

3112766672113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275097.

The product of its digits is 381024, while the sum is 46.

The spelling of 3112766672113 in words is "three trillion, one hundred twelve billion, seven hundred sixty-six million, six hundred seventy-two thousand, one hundred thirteen".

Divisors: 1 7 17 29 119 203 211 493 1477 3451 3587 6119 25109 42833 104023 728161 4274833 29923831 72672161 123970157 508705127 867791099 901989763 2107492669 6313928341 14752448683 15333825971 26157703127 107336781797 183103921889 444680953159 3112766672113