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1311381369 = 32120712
BaseRepresentation
bin100111000101010…
…0001011101111001
310101101121002001100
41032022201131321
510141203200434
6334043242013
744332362204
oct11612413571
93341532040
101311381369
11613271261
12307219309
1317b8c150c
14c624493b
157a1dc699
hex4e2a1779

1311381369 has 9 divisors (see below), whose sum is σ = 1894374469. Its totient is φ = 874181820.

The previous prime is 1311381367. The next prime is 1311381371. The reversal of 1311381369 is 9631831131.

The square root of 1311381369 is 36213.

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

It is an interprime number because it is at equal distance from previous prime (1311381367) and next prime (1311381371).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1311381369 - 21 = 1311381367 is a prime.

It is a super-2 number, since 2×13113813692 = 3439442189920628322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1311381367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102604 + ... + 114674.

Almost surely, 21311381369 is an apocalyptic number.

1311381369 is the 36213-rd square number.

1311381369 is the 18107-th centered octagonal number.

It is an amenable number.

1311381369 is a deficient number, since it is larger than the sum of its proper divisors (582993100).

1311381369 is an frugal number, since it uses more digits than its factorization.

1311381369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24148 (or 12074 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The cubic root of 1311381369 is about 1094.5686447597.

Multiplying 1311381369 by its sum of digits (36), we get a square (47209729284 = 2172782).

Multiplying 1311381369 by its product of digits (11664), we get a square (15295952288016 = 39110042).

The spelling of 1311381369 in words is "one billion, three hundred eleven million, three hundred eighty-one thousand, three hundred sixty-nine".

Divisors: 1 3 9 12071 36213 108639 145709041 437127123 1311381369