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23233112132120 = 2351183636175031
BaseRepresentation
bin1010100100001011000010…
…11001010100101000011000
310001021001201112100001122222
411102011201121110220120
511021122403201211440
6121225051103403212
74615352114506232
oct522054131245030
9101231645301588
1023233112132120
117448120126960
1227328962b3508
13cc6b471b0097
145a46bab15252
152a452e9bb2b5
hex152161654a18

23233112132120 has 64 divisors (see below), whose sum is σ = 57713798903040. Its totient is φ = 8346616393600.

The previous prime is 23233112132107. The next prime is 23233112132123. The reversal of 23233112132120 is 2123121133232.

It is a self number, because there is not a number n which added to its sum of digits gives 23233112132120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233112132123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 318050996 + ... + 318124035.

It is an arithmetic number, because the mean of its divisors is an integer number (901778107860).

Almost surely, 223233112132120 is an apocalyptic number.

23233112132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23233112132120 is an abundant number, since it is smaller than the sum of its proper divisors (34480686770920).

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

23233112132120 is a wasteful number, since it uses less digits than its factorization.

23233112132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636175136 (or 636175132 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 23233112132120 its reverse (2123121133232), we get a palindrome (25356233265352).

The spelling of 23233112132120 in words is "twenty-three trillion, two hundred thirty-three billion, one hundred twelve million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 440 664 830 913 1660 1826 3320 3652 4565 7304 9130 18260 36520 636175031 1272350062 2544700124 3180875155 5089400248 6361750310 6997925341 12723500620 13995850682 25447001240 27991701364 34989626705 52802527573 55983402728 69979253410 105605055146 139958506820 211210110292 264012637865 279917013640 422420220584 528025275730 580827803303 1056050551460 1161655606606 2112101102920 2323311213212 2904139016515 4646622426424 5808278033030 11616556066060 23233112132120