Search a number
-
+
312101032212 = 223267712805721
BaseRepresentation
bin1001000101010101010…
…10111101000100010100
31002211120212011011020100
410202222222331010110
520103140331012322
6355213252134100
731356104000544
oct4425252750424
91084525134210
10312101032212
111103a7994972
12505a2007330
132357aba89b8
141116a33d324
1581b9c39dac
hex48aaabd114

312101032212 has 36 divisors (see below), whose sum is σ = 790087435956. Its totient is φ = 103880000640.

The previous prime is 312101032207. The next prime is 312101032247. The reversal of 312101032212 is 212230101213.

312101032212 is a `hidden beast` number, since 312 + 10 + 10 + 322 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 202224693636 + 109876338576 = 449694^2 + 331476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3121010322122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6378489 + ... + 6427232.

It is an arithmetic number, because the mean of its divisors is an integer number (21946873221).

Almost surely, 2312101032212 is an apocalyptic number.

It is an amenable number.

312101032212 is an abundant number, since it is smaller than the sum of its proper divisors (477986403744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312101032212 is a wasteful number, since it uses less digits than its factorization.

312101032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12806408 (or 12806403 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312101032212 its reverse (212230101213), we get a palindrome (524331133425).

The spelling of 312101032212 in words is "three hundred twelve billion, one hundred one million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 677 1354 2031 2708 4062 6093 8124 12186 24372 12805721 25611442 38417163 51222884 76834326 115251489 153668652 230502978 461005956 8669473117 17338946234 26008419351 34677892468 52016838702 78025258053 104033677404 156050516106 312101032212