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21032133202002 = 23133131393277073
BaseRepresentation
bin1001100100000111011001…
…10101000001000001010010
32202110122121112011201112110
410302003230311001001102
510224042302044431002
6112422010102410150
74300343603336406
oct462035465010122
982418545151473
1021032133202002
11677974a98221a
122438202a30956
13b97424888a70
14529d6415d106
1526716264ae6c
hex1320ecd41052

21032133202002 has 64 divisors (see below), whose sum is σ = 46762927174656. Its totient is φ = 6262447841280.

The previous prime is 21032133201953. The next prime is 21032133202063. The reversal of 21032133202002 is 20020233123012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21032133202002.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75769738 + ... + 76046810.

It is an arithmetic number, because the mean of its divisors is an integer number (730670737104).

Almost surely, 221032133202002 is an apocalyptic number.

21032133202002 is an abundant number, since it is smaller than the sum of its proper divisors (25730793972654).

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

21032133202002 is a wasteful number, since it uses less digits than its factorization.

21032133202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308515.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21032133202002 its reverse (20020233123012), we get a palindrome (41052366325014).

The spelling of 21032133202002 in words is "twenty-one trillion, thirty-two billion, one hundred thirty-three million, two hundred two thousand, two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 2418 31393 62786 94179 188358 277073 408109 554146 816218 831219 973183 1224327 1662438 1946366 2448654 2919549 3601949 5839098 7203898 8589263 10805847 12651379 17178526 21611694 25302758 25767789 37954137 51535578 75908274 111660419 223320838 334981257 669962514 8698152689 17396305378 26094458067 52188916134 113075984957 226151969914 269642733359 339227954871 539285466718 678455909742 808928200077 1617856400154 3505355533667 7010711067334 10516066601001 21032133202002