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10202100031 = 31329100001
BaseRepresentation
bin10011000000001011…
…11011000100111111
3222100000001101020201
421200011323010333
5131343214200111
64404202224331
7510550263604
oct114005730477
928300041221
1010202100031
114365901832
121b887b50a7
13c6782b5a6
146cad306ab
153ea9ce6c1
hex26017b13f

10202100031 has 4 divisors (see below), whose sum is σ = 10531200064. Its totient is φ = 9873000000.

The previous prime is 10202099939. The next prime is 10202100043. The reversal of 10202100031 is 13000120201.

10202100031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 13000120201 = 17764712953.

It is a cyclic number.

It is not a de Polignac number, because 10202100031 - 213 = 10202091839 is a prime.

It is a super-2 number, since 2×102021000312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10202099990 and 10202100017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202100631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164549970 + ... + 164550031.

It is an arithmetic number, because the mean of its divisors is an integer number (2632800016).

Almost surely, 210202100031 is an apocalyptic number.

10202100031 is a deficient number, since it is larger than the sum of its proper divisors (329100033).

10202100031 is an equidigital number, since it uses as much as digits as its factorization.

10202100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329100032.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10202100031 its reverse (13000120201), we get a palindrome (23202220232).

The spelling of 10202100031 in words is "ten billion, two hundred two million, one hundred thousand, thirty-one".

Divisors: 1 31 329100001 10202100031