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10123232101 = 291093202541
BaseRepresentation
bin10010110110110010…
…00100001101100101
3222010111122110210021
421123121010031211
5131213021411401
64352303555141
7505602024133
oct113331041545
928114573707
1010123232101
114325334124
121b662bbab1
13c543a6588
146c0680753
153e3b012a1
hex25b644365

10123232101 has 8 divisors (see below), whose sum is σ = 10568388600. Its totient is φ = 9684480960.

The previous prime is 10123232089. The next prime is 10123232113.

10123232101 is nontrivially palindromic in base 10.

10123232101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (10123232089) and next prime (10123232113).

It can be written as a sum of positive squares in 4 ways, for example, as 4192692001 + 5930540100 = 64751^2 + 77010^2 .

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 10123232101 - 25 = 10123232069 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123232191) 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, 1598110 + ... + 1604431.

It is an arithmetic number, because the mean of its divisors is an integer number (1321048575).

Almost surely, 210123232101 is an apocalyptic number.

It is an amenable number.

10123232101 is a deficient number, since it is larger than the sum of its proper divisors (445156499).

10123232101 is a wasteful number, since it uses less digits than its factorization.

10123232101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202679.

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 10123232101 in words is "ten billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred one".

Divisors: 1 29 109 3161 3202541 92873689 349076969 10123232101