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3313200023133 = 3711213100299701
BaseRepresentation
bin110000001101101010000…
…111000100011001011101
3102201201221121100221210220
4300031222013010121131
5413240413201220013
611014021342551553
7461241120346050
oct60155207043135
912651847327726
103313200023133
111068136046800
12456153b985b9
131b05832c5190
14b6507190a97
155b2b5bb5b23
hex3036a1c465d

3313200023133 has 48 divisors (see below), whose sum is σ = 5976257443968. Its totient is φ = 1588747248000.

The previous prime is 3313200023123. The next prime is 3313200023167.

3313200023133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3313200023133 - 213 = 3313200014941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313200023123) 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 47 ways as a sum of consecutive naturals, for example, 50116818 + ... + 50182883.

It is an arithmetic number, because the mean of its divisors is an integer number (124505363416).

Almost surely, 23313200023133 is an apocalyptic number.

3313200023133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3313200023133 is a deficient number, since it is larger than the sum of its proper divisors (2663057420835).

3313200023133 is a wasteful number, since it uses less digits than its factorization.

3313200023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100299746 (or 100299735 counting only the distinct ones).

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

It can be divided in two parts, 33132000 and 23133, that added together give a palindrome (33155133).

The spelling of 3313200023133 in words is "three trillion, three hundred thirteen billion, two hundred million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 4719 11011 33033 100299701 300899103 702097907 1103296711 1303896113 2106293721 3309890133 3911688339 7723076977 9127272791 12136263821 14342857243 23169230931 27381818373 36408791463 43028571729 84953846747 100400000701 157771429673 254861540241 301200002103 473314289019 1104400007711 3313200023133