Search a number
-
+
313102000332 = 2232111147168927
BaseRepresentation
bin1001000111001100101…
…01010110000011001100
31002221011121122121100200
410203212111112003030
520112213103002312
6355500450253500
731422650043132
oct4434625260314
91087147577320
10313102000332
11110870a0a050
1250821287290
13236aa394724
141122325d752
158227a5d0dc
hex48e65560cc

313102000332 has 72 divisors (see below), whose sum is σ = 863490281472. Its totient is φ = 94869746400.

The previous prime is 313102000313. The next prime is 313102000411. The reversal of 313102000332 is 233000201313.

313102000332 is a `hidden beast` number, since 3 + 1 + 310 + 20 + 0 + 0 + 332 = 666.

It is a super-2 number, since 2×3131020003322 (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 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 23 ways as a sum of consecutive naturals, for example, 4508053 + ... + 4576979.

It is an arithmetic number, because the mean of its divisors is an integer number (11992920576).

Almost surely, 2313102000332 is an apocalyptic number.

It is an amenable number.

313102000332 is an abundant number, since it is smaller than the sum of its proper divisors (550388281140).

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

313102000332 is a wasteful number, since it uses less digits than its factorization.

313102000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80419 (or 80414 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313102000332 its reverse (233000201313), we get a palindrome (546102201645).

The spelling of 313102000332 in words is "three hundred thirteen billion, one hundred two million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 11471 22942 34413 45884 68826 68927 103239 126181 137652 137854 206478 206781 252362 275708 378543 412956 413562 504724 620343 757086 758197 827124 1135629 1240686 1514172 1516394 2271258 2274591 2481372 3032788 4542516 4549182 6823773 9098364 13647546 27295092 790661617 1581323234 2371984851 3162646468 4743969702 7115954553 8697277787 9487939404 14231909106 17394555574 26091833361 28463818212 34789111148 52183666722 78275500083 104367333444 156551000166 313102000332