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332330203131312 = 2437199629410151
BaseRepresentation
bin100101110010000001010011…
…1101101001010110110110000
31121120200110100020221021012110
41023210002213231022312300
5322024344224000200222
63134450215423325320
7130000031145034311
oct11344024755126660
91546613306837173
10332330203131312
11969884a1923201
12313339a0750840
13113587b03b1759
145c0cc20bb8608
152864a1067530c
hex12e40a7b4adb0

332330203131312 has 40 divisors (see below), whose sum is σ = 859713738370560. Its totient is φ = 110622663803200.

The previous prime is 332330203131307. The next prime is 332330203131313. The reversal of 332330203131312 is 213131302033233.

It is a super-2 number, since 2×3323302031313122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332330203131312.

It is not an unprimeable number, because it can be changed into a prime (332330203131313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4814670564 + ... + 4814739587.

It is an arithmetic number, because the mean of its divisors is an integer number (21492843459264).

Almost surely, 2332330203131312 is an apocalyptic number.

It is an amenable number.

332330203131312 is an abundant number, since it is smaller than the sum of its proper divisors (527383535239248).

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

332330203131312 is a wasteful number, since it uses less digits than its factorization.

332330203131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9629410881 (or 9629410875 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 332330203131312 its reverse (213131302033233), we get a palindrome (545461505164545).

The spelling of 332330203131312 in words is "three hundred thirty-two trillion, three hundred thirty billion, two hundred three million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 719 1438 2157 2876 4314 5752 8628 11504 17256 34512 9629410151 19258820302 28888230453 38517640604 57776460906 77035281208 115552921812 154070562416 231105843624 462211687248 6923545898569 13847091797138 20770637695707 27694183594276 41541275391414 55388367188552 83082550782828 110776734377104 166165101565656 332330203131312