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23033033033032 = 23112832087443159
BaseRepresentation
bin1010011110010110010111…
…10000001000010101001000
310000112221021200012201121201
411033023023300020111020
511004333122424024112
6120553121310113544
74565040013310521
oct517131360102510
9100487250181551
1023033033033032
11738028874a410
1226bbb581ab8b4
13cb100c687919
14598b3a323848
1529e21e620257
hex14f2cbc08548

23033033033032 has 64 divisors (see below), whose sum is σ = 47302260249600. Its totient is φ = 10427543192640.

The previous prime is 23033033032979. The next prime is 23033033033039.

23033033033032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230330330330322 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23033033033039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51753069 + ... + 52196227.

It is an arithmetic number, because the mean of its divisors is an integer number (739097816400).

Almost surely, 223033033033032 is an apocalyptic number.

23033033033032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23033033033032 is an abundant number, since it is smaller than the sum of its proper divisors (24269227216568).

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

23033033033032 is a wasteful number, since it uses less digits than its factorization.

23033033033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445546 (or 445542 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 28.

It can be divided in two parts, 2303303 and 3033032, that added together give a palindrome (5336335).

The spelling of 23033033033032 in words is "twenty-three trillion, thirty-three billion, thirty-three million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 283 566 1132 2087 2264 3113 4174 6226 8348 12452 16696 22957 24904 45914 91828 183656 443159 590621 886318 1181242 1772636 2362484 3545272 4724968 4874749 6496831 9749498 12993662 19498996 25987324 38997992 51974648 125413997 250827994 501655988 924872833 1003311976 1379553967 1849745666 2759107934 3699491332 5518215868 7398982664 10173601163 11036431736 20347202326 40694404652 81388809304 261739011739 523478023478 1046956046956 2093912093912 2879129129129 5758258258258 11516516516516 23033033033032