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21120221202093 = 32131103327150033
BaseRepresentation
bin1001100110101011011110…
…10010000100011010101101
32202210001222112021202212100
410303111233102010122231
510232013203111431333
6112530255022125313
74306612525104246
oct463255722043255
982701875252770
1021120221202093
1168030432a14a2
1224512a7420839
13ba2822535540
1453031d14bccd
152695babe9213
hex13356f4846ad

21120221202093 has 48 divisors (see below), whose sum is σ = 32894173638144. Its totient is φ = 12981046556160.

The previous prime is 21120221202089. The next prime is 21120221202161. The reversal of 21120221202093 is 39020212202112.

21120221202093 is a `hidden beast` number, since 211 + 2 + 0 + 221 + 20 + 209 + 3 = 666.

It is not a de Polignac number, because 21120221202093 - 22 = 21120221202089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120221202023) 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 47 ways as a sum of consecutive naturals, for example, 422100805 + ... + 422150837.

It is an arithmetic number, because the mean of its divisors is an integer number (685295284128).

Almost surely, 221120221202093 is an apocalyptic number.

It is an amenable number.

21120221202093 is a deficient number, since it is larger than the sum of its proper divisors (11773952436051).

21120221202093 is a wasteful number, since it uses less digits than its factorization.

21120221202093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54426 (or 54423 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 21120221202093 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred two thousand, ninety-three".

Divisors: 1 3 9 13 39 117 1103 3271 3309 9813 9927 14339 29439 42523 43017 50033 127569 129051 150099 382707 450297 650429 1951287 3607913 5853861 10823739 32471217 46902869 55186399 140708607 163657943 165559197 422125821 490973829 496677591 717423187 1472921487 2127553259 2152269561 6382659777 6456808683 19147979331 180514711129 541544133387 1624632400161 2346691244677 7040073734031 21120221202093