Search a number
-
+
1310512401 = 3211210972
BaseRepresentation
bin100111000011100…
…1101010100010001
310101022221221001100
41032013031110101
510140442344101
6334012455013
744322112602
oct11607152421
93338857040
101310512401
11612828400
12306a7a469
1317b678b33
14c6099da9
157a0b9e86
hex4e1cd511

1310512401 has 27 divisors (see below), whose sum is σ = 2082592603. Its totient is φ = 793525920.

The previous prime is 1310512373. The next prime is 1310512409. The reversal of 1310512401 is 1042150131.

The square root of 1310512401 is 36201.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 372683025 + 937829376 = 19305^2 + 30624^2 .

It is not a de Polignac number, because 1310512401 - 29 = 1310511889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310512409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1194085 + ... + 1195181.

Almost surely, 21310512401 is an apocalyptic number.

1310512401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1310512401 is the 36201-st square number.

1310512401 is the 18101-st centered octagonal number.

It is an amenable number.

1310512401 is a deficient number, since it is larger than the sum of its proper divisors (772080202).

1310512401 is an equidigital number, since it uses as much as digits as its factorization.

1310512401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The cubic root of 1310512401 is about 1094.3268246166.

Adding to 1310512401 its reverse (1042150131), we get a palindrome (2352662532).

The spelling of 1310512401 in words is "one billion, three hundred ten million, five hundred twelve thousand, four hundred one".

Divisors: 1 3 9 11 33 99 121 363 1089 1097 3291 9873 12067 36201 108603 132737 398211 1194633 1203409 3610227 10830681 13237499 39712497 119137491 145612489 436837467 1310512401