Search a number
-
+
1214322032131 = 132113001147517
BaseRepresentation
bin10001101010111011001…
…110111011111000000011
311022002101012010201120221
4101222323032323320003
5124343412420012011
62325503555243511
7153506013652525
oct21527316737003
94262335121527
101214322032131
11428a9a14788a
12177415ba9597
138a682839a30
1442ab86aba15
15218c2230971
hex11abb3bbe03

1214322032131 has 16 divisors (see below), whose sum is σ = 1314375938848. Its totient is φ = 1115220960000.

The previous prime is 1214322032129. The next prime is 1214322032149. The reversal of 1214322032131 is 1312302234121.

It is a cyclic number.

It is not a de Polignac number, because 1214322032131 - 21 = 1214322032129 is a prime.

It is a super-2 number, since 2×12143220321312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1214322032096 and 1214322032105.

It is not an unprimeable number, because it can be changed into a prime (1214322032101) 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, 8157985 + ... + 8305501.

It is an arithmetic number, because the mean of its divisors is an integer number (82148496178).

Almost surely, 21214322032131 is an apocalyptic number.

1214322032131 is a deficient number, since it is larger than the sum of its proper divisors (100053906717).

1214322032131 is a wasteful number, since it uses less digits than its factorization.

1214322032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150742.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1214322032131 its reverse (1312302234121), we get a palindrome (2526624266252).

The spelling of 1214322032131 in words is "one trillion, two hundred fourteen billion, three hundred twenty-two million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 13 211 2743 3001 39013 147517 633211 1917721 8231743 31126087 404639131 442698517 5755080721 93409387087 1214322032131