Search a number
-
+
330131001123312 = 2436877729190069
BaseRepresentation
bin100101100010000001001110…
…1000011010010000111110000
31121021220012211002100220222020
41023010002131003102013300
5321232331242241421222
63130044031020111440
7126352114651303434
oct11304023503220760
91537805732326866
10330131001123312
119620a853700444
1231039724395580
13112292b1c5a13c
145b745d620c9c4
1528276e930065c
hex12c409d0d21f0

330131001123312 has 20 divisors (see below), whose sum is σ = 852838419568680. Its totient is φ = 110043667041088.

The previous prime is 330131001123307. The next prime is 330131001123331. The reversal of 330131001123312 is 213321100131033.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 3 ways as a sum of consecutive naturals, for example, 3438864594987 + ... + 3438864595082.

It is an arithmetic number, because the mean of its divisors is an integer number (42641920978434).

Almost surely, 2330131001123312 is an apocalyptic number.

It is an amenable number.

330131001123312 is an abundant number, since it is smaller than the sum of its proper divisors (522707418445368).

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

330131001123312 is a wasteful number, since it uses less digits than its factorization.

330131001123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877729190080 (or 6877729190074 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 330131001123312 its reverse (213321100131033), we get a palindrome (543452101254345).

The spelling of 330131001123312 in words is "three hundred thirty trillion, one hundred thirty-one billion, one million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 6877729190069 13755458380138 20633187570207 27510916760276 41266375140414 55021833520552 82532750280828 110043667041104 165065500561656 330131001123312