Search a number
-
+
312002232312131 = 3153686112767747
BaseRepresentation
bin100011011110000111010111…
…0001110011110000101000011
31111220201010022000111220012122
41012330032232032132011003
5311343321032432442011
63023323502524314455
7122501263113030164
oct10674165616360503
91456633260456178
10312002232312131
1190460449293489
122abb01583a2a2b
13105128b842a54a
145708dbaaa376b
152610d627303db
hex11bc3ae39e143

312002232312131 has 16 divisors (see below), whose sum is σ = 328148454140928. Its totient is φ = 296236282773600.

The previous prime is 312002232312083. The next prime is 312002232312139. The reversal of 312002232312131 is 131213232200213.

It is a cyclic number.

It is not a de Polignac number, because 312002232312131 - 218 = 312002232049987 is a prime.

It is a super-2 number, since 2×3120022323121312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312002232312131.

It is not an unprimeable number, because it can be changed into a prime (312002232312139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111344000 + ... + 114111746.

It is an arithmetic number, because the mean of its divisors is an integer number (20509278383808).

Almost surely, 2312002232312131 is an apocalyptic number.

312002232312131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

312002232312131 is a deficient number, since it is larger than the sum of its proper divisors (16146221828797).

312002232312131 is a wasteful number, since it uses less digits than its factorization.

312002232312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836442.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 312002232312131 its reverse (131213232200213), we get a palindrome (443215464512344).

The spelling of 312002232312131 in words is "three hundred twelve trillion, two billion, two hundred thirty-two million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 31 53 1643 68611 2126941 2767747 3636383 85800157 112727873 146690591 4547408321 189897889417 5886834571927 10064588139101 312002232312131