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1405012131 = 328313713729
BaseRepresentation
bin101001110111110…
…1100100010100011
310121220210000022100
41103233230202203
510334140342011
6351230141443
746550256165
oct12357544243
93556700270
101405012131
11661102456
12332651883
13195114c33
14d4858935
1583534d56
hex53bec8a3

1405012131 has 24 divisors (see below), whose sum is σ = 2069056080. Its totient is φ = 918567936.

The previous prime is 1405012129. The next prime is 1405012199. The reversal of 1405012131 is 1312105041.

1405012131 is a `hidden beast` number, since 140 + 501 + 21 + 3 + 1 = 666.

It is not a de Polignac number, because 1405012131 - 21 = 1405012129 is a prime.

It is a super-3 number, since 3×14050121313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1405012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95475 + ... + 109203.

It is an arithmetic number, because the mean of its divisors is an integer number (86210670).

Almost surely, 21405012131 is an apocalyptic number.

1405012131 is a deficient number, since it is larger than the sum of its proper divisors (664043949).

1405012131 is a wasteful number, since it uses less digits than its factorization.

1405012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13955 (or 13952 counting only the distinct ones).

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

The square root of 1405012131 is about 37483.4914462354. The cubic root of 1405012131 is about 1120.0223557931.

Adding to 1405012131 its reverse (1312105041), we get a palindrome (2717117172).

The spelling of 1405012131 in words is "one billion, four hundred five million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 83 137 249 411 747 1233 11371 13729 34113 41187 102339 123561 1139507 1880873 3418521 5642619 10255563 16927857 156112459 468337377 1405012131