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10120111121 = 29615720809
BaseRepresentation
bin10010110110011010…
…01010010000010001
3222010021202220121102
421123031022100101
5131211222023441
64352113034145
7505533345101
oct113315122021
928107686542
1010120111121
1143235a22aa
121b65255955
13c53852b43
146c00ab201
153e36d669b
hex25b34a411

10120111121 has 8 divisors (see below), whose sum is σ = 10640706600. Its totient is φ = 9610957440.

The previous prime is 10120111117. The next prime is 10120111123. The reversal of 10120111121 is 12111102101.

It can be written as a sum of positive squares in 4 ways, for example, as 2768896 + 10117342225 = 1664^2 + 100585^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120111121 - 22 = 10120111117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120111123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2858636 + ... + 2862173.

It is an arithmetic number, because the mean of its divisors is an integer number (1330088325).

Almost surely, 210120111121 is an apocalyptic number.

It is an amenable number.

10120111121 is a deficient number, since it is larger than the sum of its proper divisors (520595479).

10120111121 is an equidigital number, since it uses as much as digits as its factorization.

10120111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720899.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10120111121 its reverse (12111102101), we get a palindrome (22231213222).

The spelling of 10120111121 in words is "ten billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 29 61 1769 5720809 165903461 348969349 10120111121