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10132200009 = 34125088889
BaseRepresentation
bin10010110111110110…
…10001101001001001
3222011010112002110000
421123323101221021
5131222320400014
64353224113213
7506041164501
oct113373215111
928133462400
1010132200009
11432a3a9918
121b69305809
13c561c6429
146c1936a01
153e47c3509
hex25bed1a49

10132200009 has 10 divisors (see below), whose sum is σ = 15135755690. Its totient is φ = 6754799952.

The previous prime is 10132200007. The next prime is 10132200011. The reversal of 10132200009 is 90000223101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10132200007) and next prime (10132200011).

It can be written as a sum of positive squares in only one way, i.e., 5076990009 + 5055210000 = 71253^2 + 71100^2 .

It is not a de Polignac number, because 10132200009 - 21 = 10132200007 is a prime.

It is a super-2 number, since 2×101322000092 (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 = 10132199964 and 10132200000.

It is not an unprimeable number, because it can be changed into a prime (10132200007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62544364 + ... + 62544525.

It is an arithmetic number, because the mean of its divisors is an integer number (1513575569).

Almost surely, 210132200009 is an apocalyptic number.

It is an amenable number.

10132200009 is a deficient number, since it is larger than the sum of its proper divisors (5003555681).

10132200009 is an equidigital number, since it uses as much as digits as its factorization.

10132200009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125088901 (or 125088892 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

It can be divided in two parts, 1013 and 2200009, that added together give a palindrome (2201022).

The spelling of 10132200009 in words is "ten billion, one hundred thirty-two million, two hundred thousand, nine".

Divisors: 1 3 9 27 81 125088889 375266667 1125800001 3377400003 10132200009