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23232143111200 = 2552171708245817
BaseRepresentation
bin1010100100001001001111…
…01000110011010000100000
310001020222012222221200212021
411102010213220303100200
511021113412114024300
6121224411010111224
74615316110122322
oct522044750632040
9101228188850767
1023232143111200
117447773142121
12273266587b514
13cc6a214cb71a
145a462814d612
152a44c48a8d1a
hex152127a33420

23232143111200 has 72 divisors (see below), whose sum is σ = 60051673485972. Its totient is φ = 8746218577920.

The previous prime is 23232143111159. The next prime is 23232143111237. The reversal of 23232143111200 is 211134123232.

It can be written as a sum of positive squares in 6 ways, for example, as 11385522571536 + 11846620539664 = 3374244^2 + 3441892^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 854109309 + ... + 854136508.

Almost surely, 223232143111200 is an apocalyptic number.

23232143111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23232143111200 is an abundant number, since it is smaller than the sum of its proper divisors (36819530374772).

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

23232143111200 is a wasteful number, since it uses less digits than its factorization.

23232143111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708245854 (or 1708245841 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 23232143111200 its reverse (211134123232), we get a palindrome (23443277234432).

The spelling of 23232143111200 in words is "twenty-three trillion, two hundred thirty-two billion, one hundred forty-three million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 1708245817 3416491634 6832983268 8541229085 13665966536 17082458170 27331933072 29040178889 34164916340 42706145425 54663866144 58080357778 68329832680 85412290850 116160715556 136659665360 145200894445 170824581700 232321431112 273319330720 290401788890 341649163400 464642862224 580803577780 683298326800 726004472225 929285724448 1161607155560 1366596653600 1452008944450 2323214311120 2904017888900 4646428622240 5808035777800 11616071555600 23232143111200