Search a number
-
+
2132011212013 = 373891210112241
BaseRepresentation
bin11111000001100101110…
…001010101110011101101
321112211002112020020210201
4133001211301111303231
5234412324332241023
64311233223233501
7310014140202214
oct37014561256355
97484075206721
102132011212013
117521a9825301
122a52462a8891
1312608100a687
14752930d207b
153a6d26babad
hex1f065c55ced

2132011212013 has 16 divisors (see below), whose sum is σ = 2195622776880. Its totient is φ = 2068716672000.

The previous prime is 2132011212011. The next prime is 2132011212017. The reversal of 2132011212013 is 3102121102312.

It can be written as a sum of positive squares in 8 ways, for example, as 243263995524 + 1888747216489 = 493218^2 + 1374317^2 .

It is a cyclic number.

It is not a de Polignac number, because 2132011212013 - 21 = 2132011212011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132011212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174163573 + ... + 174175813.

It is an arithmetic number, because the mean of its divisors is an integer number (137226423555).

Almost surely, 22132011212013 is an apocalyptic number.

It is an amenable number.

2132011212013 is a deficient number, since it is larger than the sum of its proper divisors (63611564867).

2132011212013 is a wasteful number, since it uses less digits than its factorization.

2132011212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24768.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2132011212013 its reverse (3102121102312), we get a palindrome (5234132314325).

The spelling of 2132011212013 in words is "two trillion, one hundred thirty-two billion, eleven million, two hundred twelve thousand, thirteen".

Divisors: 1 37 389 12101 12241 14393 447737 452917 4707289 4761749 148128341 174169693 176184713 5480748617 57621924649 2132011212013