Search a number
-
+
10120202031 = 314932596947
BaseRepresentation
bin10010110110011011…
…00000011100101111
3222010021221112022110
421123031200130233
5131211232431111
64352115015103
7505534204122
oct113315403457
928107845273
1010120202031
114323654635
121b6529a493
13c53885334
146c00d23b9
153e37035a6
hex25b36072f

10120202031 has 16 divisors (see below), whose sum is σ = 13590288000. Its totient is φ = 6698500128.

The previous prime is 10120201991. The next prime is 10120202033. The reversal of 10120202031 is 13020202101.

It is not a de Polignac number, because 10120202031 - 29 = 10120201519 is a prime.

It is a super-2 number, since 2×101202020312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120201998 and 10120202016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120202033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453300 + ... + 1460246.

It is an arithmetic number, because the mean of its divisors is an integer number (849393000).

Almost surely, 210120202031 is an apocalyptic number.

10120202031 is a deficient number, since it is larger than the sum of its proper divisors (3470085969).

10120202031 is a wasteful number, since it uses less digits than its factorization.

10120202031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10358.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10120202031 its reverse (13020202101), we get a palindrome (23140404132).

The spelling of 10120202031 in words is "ten billion, one hundred twenty million, two hundred two thousand, thirty-one".

Divisors: 1 3 149 447 3259 6947 9777 20841 485591 1035103 1456773 3105309 22640273 67920819 3373400677 10120202031