Search a number
-
+
312403234100 = 22523124032341
BaseRepresentation
bin1001000101111001010…
…11110000110100110100
31002212100220210121021212
410202330223300310310
520104300211442400
6355303245300552
731366433450606
oct4427453606464
91085326717255
10312403234100
111105425326a1
1250667264758
13235c8697a99
1411198527176
1581d6531335
hex48bcaf0d34

312403234100 has 18 divisors (see below), whose sum is σ = 677915018214. Its totient is φ = 124961293600.

The previous prime is 312403234067. The next prime is 312403234123. The reversal of 312403234100 is 1432304213.

It can be written as a sum of positive squares in 3 ways, for example, as 293299876 + 312109934224 = 17126^2 + 558668^2 .

It is a super-2 number, since 2×3124032341002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1562016071 + ... + 1562016270.

Almost surely, 2312403234100 is an apocalyptic number.

It is an amenable number.

312403234100 is an abundant number, since it is smaller than the sum of its proper divisors (365511784114).

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

312403234100 is a wasteful number, since it uses less digits than its factorization.

312403234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124032355 (or 3124032348 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 312403234100 its reverse (1432304213), we get a palindrome (313835538313).

The spelling of 312403234100 in words is "three hundred twelve billion, four hundred three million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3124032341 6248064682 12496129364 15620161705 31240323410 62480646820 78100808525 156201617050 312403234100