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13451136381 = 3229401128521
BaseRepresentation
bin11001000011100000…
…00000110101111101
31021201102200112020100
430201300000311331
5210021442331011
610102424311313
7654221526024
oct144160006575
937642615210
1013451136381
1157828a7941
122734912539
1313649a89c7
149186418bb
1553ad66d56
hex321c00d7d

13451136381 has 24 divisors (see below), whose sum is σ = 20149679160. Its totient is φ = 8636544000.

The previous prime is 13451136379. The next prime is 13451136407. The reversal of 13451136381 is 18363115431.

13451136381 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 13 + 638 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6709084281 + 6742052100 = 81909^2 + 82110^2 .

It is not a de Polignac number, because 13451136381 - 21 = 13451136379 is a prime.

It is a super-2 number, since 2×134511363812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13451136341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40401 + ... + 168921.

It is an arithmetic number, because the mean of its divisors is an integer number (839569965).

Almost surely, 213451136381 is an apocalyptic number.

It is an amenable number.

13451136381 is a deficient number, since it is larger than the sum of its proper divisors (6698542779).

13451136381 is a wasteful number, since it uses less digits than its factorization.

13451136381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128957 (or 128954 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 13451136381 in words is "thirteen billion, four hundred fifty-one million, one hundred thirty-six thousand, three hundred eighty-one".

Divisors: 1 3 9 29 87 261 401 1203 3609 11629 34887 104661 128521 385563 1156689 3727109 11181327 33543981 51536921 154610763 463832289 1494570709 4483712127 13451136381