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12002332031310 = 2353112905733367
BaseRepresentation
bin1010111010101000001010…
…1111001011100101001110
31120111102010011012120100110
42232222002233023211032
53033121234000000220
641305443433340450
72346065655652425
oct256520257134516
946442104176313
1012002332031310
113908184593505
12141a170867726
13690a7989b47a
142d6cb75c82bc
1515c31ca1cbe0
hexaea82bcb94e

12002332031310 has 32 divisors (see below), whose sum is σ = 29734809679872. Its totient is φ = 3097376007840.

The previous prime is 12002332031269. The next prime is 12002332031311. The reversal of 12002332031310 is 1313023320021.

It is a super-2 number, since 2×120023320313102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002332031311) 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 15 ways as a sum of consecutive naturals, for example, 6452865754 + ... + 6452867613.

It is an arithmetic number, because the mean of its divisors is an integer number (929212802496).

Almost surely, 212002332031310 is an apocalyptic number.

12002332031310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002332031310 is an abundant number, since it is smaller than the sum of its proper divisors (17732477648562).

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

12002332031310 is a wasteful number, since it uses less digits than its factorization.

12002332031310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12905733408.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12002332031310 its reverse (1313023320021), we get a palindrome (13315355351331).

The spelling of 12002332031310 in words is "twelve trillion, two billion, three hundred thirty-two million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 12905733367 25811466734 38717200101 64528666835 77434400202 129057333670 193586000505 387172001010 400077734377 800155468754 1200233203131 2000388671885 2400466406262 4000777343770 6001166015655 12002332031310