Search a number
-
+
312233120123 = 31115120834201
BaseRepresentation
bin1001000101100101000…
…10110101000101111011
31002211221001200220210012
410202302202311011323
520103423134320443
6355234331212135
731362266505521
oct4426242650573
91084831626705
10312233120123
11110465502531
125061a2a704b
132359c375922
141117dac4311
1581c662c118
hex48b28b517b

312233120123 has 16 divisors (see below), whose sum is σ = 322816868352. Its totient is φ = 301681800000.

The previous prime is 312233120107. The next prime is 312233120239. The reversal of 312233120123 is 321021332213.

It is a cyclic number.

It is not a de Polignac number, because 312233120123 - 24 = 312233120107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312233120623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74321423 + ... + 74325623.

It is an arithmetic number, because the mean of its divisors is an integer number (20176054272).

Almost surely, 2312233120123 is an apocalyptic number.

312233120123 is a deficient number, since it is larger than the sum of its proper divisors (10583748229).

312233120123 is a wasteful number, since it uses less digits than its factorization.

312233120123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 312233120123 its reverse (321021332213), we get a palindrome (633254452336).

The spelling of 312233120123 in words is "three hundred twelve billion, two hundred thirty-three million, one hundred twenty thousand, one hundred twenty-three".

Divisors: 1 31 1151 2083 4201 35681 64573 130231 2397533 4835351 8750683 74323523 149895881 271271173 10072036133 312233120123