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13322101 = 132174637
BaseRepresentation
bin110010110100…
…011101110101
3221001211111011
4302310131311
511402301401
61153312221
7221143642
oct62643565
927054434
1013322101
11757a101
124565671
1329b5a00
141aaadc9
151282451
hexcb4775

13322101 has 12 divisors (see below), whose sum is σ = 15277572. Its totient is φ = 11571456.

The previous prime is 13322093. The next prime is 13322117. The reversal of 13322101 is 10122331.

It can be written as a sum of positive squares in 6 ways, for example, as 1768900 + 11553201 = 1330^2 + 3399^2 .

It is not a de Polignac number, because 13322101 - 23 = 13322093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555 + ... + 5191.

It is an arithmetic number, because the mean of its divisors is an integer number (1273131).

Almost surely, 213322101 is an apocalyptic number.

It is an amenable number.

13322101 is a deficient number, since it is larger than the sum of its proper divisors (1955471).

13322101 is a wasteful number, since it uses less digits than its factorization.

13322101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 13322101 is about 3649.9453420565. The cubic root of 13322101 is about 237.0596145737.

Adding to 13322101 its reverse (10122331), we get a palindrome (23444432).

The spelling of 13322101 in words is "thirteen million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 13 17 169 221 2873 4637 60281 78829 783653 1024777 13322101