Search a number
-
+
120221002131 = 31371019328697
BaseRepresentation
bin110111111110110111…
…0101110100110010011
3102111022102000200102120
41233331232232212103
53432203034032011
6131121225145323
711454121441326
oct1577556564623
9374272020376
10120221002131
1146a9269230a
121b37192b243
13b44bc15c69
145b668347bd
1531d95aca06
hex1bfdbae993

120221002131 has 16 divisors (see below), whose sum is σ = 161486171424. Its totient is φ = 79551739904.

The previous prime is 120221002129. The next prime is 120221002183. The reversal of 120221002131 is 131200122021.

It is a cyclic number.

It is not a de Polignac number, because 120221002131 - 21 = 120221002129 is a prime.

It is a super-2 number, since 2×1202210021312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120221002131.

It is not an unprimeable number, because it can be changed into a prime (120221002931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4174975 + ... + 4203671.

It is an arithmetic number, because the mean of its divisors is an integer number (10092885714).

Almost surely, 2120221002131 is an apocalyptic number.

120221002131 is a deficient number, since it is larger than the sum of its proper divisors (41265169293).

120221002131 is a wasteful number, since it uses less digits than its factorization.

120221002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39030.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120221002131 its reverse (131200122021), we get a palindrome (251421124152).

The spelling of 120221002131 in words is "one hundred twenty billion, two hundred twenty-one million, two thousand, one hundred thirty-one".

Divisors: 1 3 137 411 10193 28697 30579 86091 1396441 3931489 4189323 11794467 292508521 877525563 40073667377 120221002131