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1320356401 = 72132072773
BaseRepresentation
bin100111010110011…
…0000101000110001
310102000111001110221
41032230300220301
510201002401101
6335003453041
744501562400
oct11654605061
93360431427
101320356401
11618341341
1230a227181
131807146a0
14c74dd637
157adb1aa1
hex4eb30a31

1320356401 has 12 divisors (see below), whose sum is σ = 1654073652. Its totient is φ = 1044677088.

The previous prime is 1320356393. The next prime is 1320356419. The reversal of 1320356401 is 1046530231.

It can be written as a sum of positive squares in 2 ways, for example, as 533610000 + 786746401 = 23100^2 + 28049^2 .

It is not a de Polignac number, because 1320356401 - 23 = 1320356393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1320356431) 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, 1035750 + ... + 1037023.

It is an arithmetic number, because the mean of its divisors is an integer number (137839471).

Almost surely, 21320356401 is an apocalyptic number.

It is an amenable number.

1320356401 is a deficient number, since it is larger than the sum of its proper divisors (333717251).

1320356401 is a wasteful number, since it uses less digits than its factorization.

1320356401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072800 (or 2072793 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1320356401 is about 36336.7087254748. The cubic root of 1320356401 is about 1097.0600283974.

Adding to 1320356401 its reverse (1046530231), we get a palindrome (2366886632).

The spelling of 1320356401 in words is "one billion, three hundred twenty million, three hundred fifty-six thousand, four hundred one".

Divisors: 1 7 13 49 91 637 2072773 14509411 26946049 101565877 188622343 1320356401