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21120012112001 = 113116791909091
BaseRepresentation
bin1001100110101011000101…
…10100011101000010000001
32202210001102221211220011212
410303111202310131002001
510232012241100041001
6112530222152415505
74306604405630165
oct463254264350201
982701387756155
1021120012112001
116802a4626aa70
1224512493a7595
13ba27bb1178aa
145302dd480ca5
152695a76967bb
hex133562d1d081

21120012112001 has 16 divisors (see below), whose sum is σ = 23117525922816. Its totient is φ = 19135435410000.

The previous prime is 21120012111977. The next prime is 21120012112009. The reversal of 21120012112001 is 10021121002112.

It is a cyclic number.

It is not a de Polignac number, because 21120012112001 - 226 = 21119945003137 is a prime.

It is a super-2 number, since 2×211200121120012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21120012112009) 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 15 ways as a sum of consecutive naturals, for example, 22777466 + ... + 23686556.

It is an arithmetic number, because the mean of its divisors is an integer number (1444845370176).

Almost surely, 221120012112001 is an apocalyptic number.

It is an amenable number.

21120012112001 is a deficient number, since it is larger than the sum of its proper divisors (1997513810815).

21120012112001 is a wasteful number, since it uses less digits than its factorization.

21120012112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916204.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21120012112001 its reverse (10021121002112), we get a palindrome (31141133114113).

The spelling of 21120012112001 in words is "twenty-one trillion, one hundred twenty billion, twelve million, one hundred twelve thousand, one".

Divisors: 1 11 311 3421 6791 74701 909091 2112001 10000001 23232011 282727301 3110000311 6173636981 67910006791 1920001101091 21120012112001