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133322333203033 = 13421117617207113
BaseRepresentation
bin11110010100000110000110…
…010011111010101001011001
3122111001111020122001212001221
4132110012012103322221121
5114433323114244444113
61151315233452412041
740040135463035302
oct3624060623725131
9574044218055057
10133322333203033
1139531758429197
1212b52917777021
13595131baba610
1424ccb9a3117a9
151063046e9698d
hex7941864faa59

133322333203033 has 16 divisors (see below), whose sum is σ = 143920855942416. Its totient is φ = 122772812359680.

The previous prime is 133322333202943. The next prime is 133322333203039. The reversal of 133322333203033 is 330302333223331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 50643903301209 + 82678429901824 = 7116453^2 + 9092768^2 .

It is a cyclic number.

It is not a de Polignac number, because 133322333203033 - 241 = 131123309947481 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133322333203033.

It is not an unprimeable number, because it can be changed into a prime (133322333203039) 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, 643614285 + ... + 643821397.

It is an arithmetic number, because the mean of its divisors is an integer number (8995053496401).

Almost surely, 2133322333203033 is an apocalyptic number.

133322333203033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133322333203033 is a deficient number, since it is larger than the sum of its proper divisors (10598522739383).

133322333203033 is a wasteful number, since it uses less digits than its factorization.

133322333203033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325164.

The product of its (nonzero) digits is 157464, while the sum is 34.

Adding to 133322333203033 its reverse (330302333223331), we get a palindrome (463624666426364).

The spelling of 133322333203033 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, three hundred thirty-three million, two hundred three thousand, thirty-three".

Divisors: 1 13 421 5473 117617 207113 1529021 2692469 49516757 87194573 643717841 1133529449 24360009721 316680126373 10255564092541 133322333203033