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1301332131 = 321121194979
BaseRepresentation
bin100110110010000…
…1100000010100011
310100200200112002100
41031210030002203
510131120112011
6333044021443
744151066141
oct11544140243
93320615070
101301332131
11608628100
12303991883
131797b3418
14c4b8a591
15793a4d56
hex4d90c0a3

1301332131 has 18 divisors (see below), whose sum is σ = 2066120420. Its totient is φ = 788685480.

The previous prime is 1301332121. The next prime is 1301332139. The reversal of 1301332131 is 1312331031.

It is a happy number.

1301332131 is a `hidden beast` number, since 1 + 301 + 332 + 1 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1301332131 is a prime.

It is a super-2 number, since 2×13013321312 = 3386930630346002322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1301332139) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 596401 + ... + 598578.

Almost surely, 21301332131 is an apocalyptic number.

1301332131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1301332131 is a deficient number, since it is larger than the sum of its proper divisors (764788289).

1301332131 is a wasteful number, since it uses less digits than its factorization.

1301332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195007 (or 1194993 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1301332131 is about 36073.9813577598. The cubic root of 1301332131 is about 1091.7655451050.

Adding to 1301332131 its reverse (1312331031), we get a palindrome (2613663162).

The spelling of 1301332131 in words is "one billion, three hundred one million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1194979 3584937 10754811 13144769 39434307 118302921 144592459 433777377 1301332131