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10132314221 = 7122009981
BaseRepresentation
bin10010110111110111…
…01101100001101101
3222011010201220010002
421123323231201231
5131222333023341
64353230354045
7506042151461
oct113373554155
928133656102
1010132314221
11432a477707
121b6935b925
13c56236403
146c19664a1
153e47e729b
hex25beed86d

10132314221 has 6 divisors (see below), whose sum is σ = 10277037966. Its totient is φ = 9989600600.

The previous prime is 10132314217. The next prime is 10132314259. The reversal of 10132314221 is 12241323101.

It can be written as a sum of positive squares in only one way, i.e., 8917024900 + 1215289321 = 94430^2 + 34861^2 .

It is not a de Polignac number, because 10132314221 - 22 = 10132314217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10132314193 and 10132314202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132314271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 999950 + ... + 1010031.

It is an arithmetic number, because the mean of its divisors is an integer number (1712839661).

Almost surely, 210132314221 is an apocalyptic number.

It is an amenable number.

10132314221 is a deficient number, since it is larger than the sum of its proper divisors (144723745).

10132314221 is an frugal number, since it uses more digits than its factorization.

10132314221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010123 (or 2010052 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10132314221 its reverse (12241323101), we get a palindrome (22373637322).

The spelling of 10132314221 in words is "ten billion, one hundred thirty-two million, three hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 71 5041 2009981 142708651 10132314221