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33023200133013 = 3232416553303049
BaseRepresentation
bin1111000001000110100000…
…00111001111111110010101
311022220222122121002220101220
413200203100013033332111
513312023003213224023
6154122352042040553
76645563453463126
oct740432007177625
9138828577086356
1033023200133013
11a582073620082
12385414aaa9159
1315570c7630cbc
1482248d58a04d
153c40211b13e3
hex1e08d01cff95

33023200133013 has 32 divisors (see below), whose sum is σ = 46143159110400. Its totient is φ = 20967624437760.

The previous prime is 33023200132991. The next prime is 33023200133017. The reversal of 33023200133013 is 31033100232033.

It is not a de Polignac number, because 33023200133013 - 214 = 33023200116629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33023200133017) 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 31 ways as a sum of consecutive naturals, for example, 108818313 + ... + 109121361.

It is an arithmetic number, because the mean of its divisors is an integer number (1441973722200).

Almost surely, 233023200133013 is an apocalyptic number.

It is an amenable number.

33023200133013 is a deficient number, since it is larger than the sum of its proper divisors (13119958977387).

33023200133013 is a wasteful number, since it uses less digits than its factorization.

33023200133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309869.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 33023200133013 its reverse (31033100232033), we get a palindrome (64056300365046).

The spelling of 33023200133013 in words is "thirty-three trillion, twenty-three billion, two hundred million, one hundred thirty-three thousand, thirteen".

Divisors: 1 3 23 69 241 723 5543 6553 16629 19659 150719 303049 452157 909147 1579273 4737819 6970127 20910381 36323279 73034809 108969837 219104427 1679800607 1985880097 5039401821 5957640291 45675242231 137025726693 478597103377 1435791310131 11007733377671 33023200133013