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401336131 = 72312791949
BaseRepresentation
bin10111111010111…
…110011101000011
31000222011222200011
4113322332131003
51310220224011
6103454005351
712642205120
oct2772763503
91028158604
10401336131
111965a8859
12b24a6857
13651bb801
143b431747
1525379621
hex17ebe743

401336131 has 16 divisors (see below), whose sum is σ = 479232000. Its totient is φ = 328619808.

The previous prime is 401336123. The next prime is 401336179. The reversal of 401336131 is 131633104.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 401336131 - 23 = 401336123 is a prime.

It is a super-2 number, since 2×4013361312 = 322141380092098322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401330131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204945 + ... + 206893.

It is an arithmetic number, because the mean of its divisors is an integer number (29952000).

Almost surely, 2401336131 is an apocalyptic number.

401336131 is a deficient number, since it is larger than the sum of its proper divisors (77895869).

401336131 is a wasteful number, since it uses less digits than its factorization.

401336131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 401336131 is about 20033.3754270218. The cubic root of 401336131 is about 737.6257794091.

Adding to 401336131 its reverse (131633104), we get a palindrome (532969235).

It can be divided in two parts, 40133 and 6131, that added together give a palindrome (46264).

The spelling of 401336131 in words is "four hundred one million, three hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 7 23 161 1279 1949 8953 13643 29417 44827 205919 313789 2492771 17449397 57333733 401336131