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23312144121332 = 221110130011748003
BaseRepresentation
bin1010100110011110010000…
…00100011011110111110100
310001112121201101222002111112
411103033020010123313310
511023421232343340312
6121325241241254152
74624150443362033
oct523171004336764
9101477641862445
1023312144121332
117478696679120
122746071a94358
1310014308c8241
145a84570ac71a
152a6607ec6d22
hex1533c811bdf4

23312144121332 has 48 divisors (see below), whose sum is σ = 44960648612544. Its totient is φ = 10488012000000.

The previous prime is 23312144121319. The next prime is 23312144121373.

23312144121332 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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, 12462443 + ... + 14210445.

It is an arithmetic number, because the mean of its divisors is an integer number (936680179428).

Almost surely, 223312144121332 is an apocalyptic number.

23312144121332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23312144121332 is a deficient number, since it is larger than the sum of its proper divisors (21648504491212).

23312144121332 is a wasteful number, since it uses less digits than its factorization.

23312144121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751120 (or 1751118 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 2331214 and 4121332, that added together give a palindrome (6452546).

The spelling of 23312144121332 in words is "twenty-three trillion, three hundred twelve billion, one hundred forty-four million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 44 101 202 404 1111 2222 3001 4444 6002 12004 33011 66022 132044 303101 606202 1212404 1748003 3334111 3496006 6668222 6992012 13336444 19228033 38456066 76912132 176548303 353096606 706193212 1942031333 3884062666 5245757003 7768125332 10491514006 20983028012 57703327033 115406654066 230813308132 529821457303 1059642914606 2119285829212 5828036030333 11656072060666 23312144121332