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21133023101000 = 235361734251253
BaseRepresentation
bin1001100111000011010100…
…10101011100000001001000
32202211022000201022121201022
410303201222111130001020
510232220412403213000
6112540213215212012
74310545004333546
oct463415225340110
982738021277638
1021133023101000
116808512670638
12245387a817008
13ba3ab2866355
14530bb546ad96
15269ab9a69585
hex13386a55c048

21133023101000 has 64 divisors (see below), whose sum is σ = 49531423434480. Its totient is φ = 8439508492800.

The previous prime is 21133023100979. The next prime is 21133023101009. The reversal of 21133023101000 is 10132033112.

It can be written as a sum of positive squares in 8 ways, for example, as 59763625156 + 21073259475844 = 244466^2 + 4590562^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21133023101000.

It is not an unprimeable number, because it can be changed into a prime (21133023101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16508627 + ... + 17742626.

Almost surely, 221133023101000 is an apocalyptic number.

21133023101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21133023101000 is an abundant number, since it is smaller than the sum of its proper divisors (28398400333480).

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

21133023101000 is a wasteful number, since it uses less digits than its factorization.

21133023101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34251891 (or 34251877 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 21133023101000 its reverse (10132033112), we get a palindrome (21143155134112).

The spelling of 21133023101000 in words is "twenty-one trillion, one hundred thirty-three billion, twenty-three million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 617 1000 1234 2468 3085 4936 6170 12340 15425 24680 30850 61700 77125 123400 154250 308500 617000 34251253 68502506 137005012 171256265 274010024 342512530 685025060 856281325 1370050120 1712562650 3425125300 4281406625 6850250600 8562813250 17125626500 21133023101 34251253000 42266046202 84532092404 105665115505 169064184808 211330231010 422660462020 528325577525 845320924040 1056651155050 2113302310100 2641627887625 4226604620200 5283255775250 10566511550500 21133023101000