Search a number
-
+
2137772241 = 321121593659
BaseRepresentation
bin111111101101011…
…1101000011010001
312111222121002012200
41333122331003101
513334232202431
6552043513413
7103655523063
oct17732750321
95458532180
102137772241
119a7797a20
124b7b28869
13280b846b7
14163cbd733
15c7a28ee6
hex7f6bd0d1

2137772241 has 12 divisors (see below), whose sum is σ = 3368610960. Its totient is φ = 1295619480.

The previous prime is 2137772239. The next prime is 2137772279. The reversal of 2137772241 is 1422777312.

It is not a de Polignac number, because 2137772241 - 21 = 2137772239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2137772196 and 2137772205.

It is not an unprimeable number, because it can be changed into a prime (2137772281) 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 11 ways as a sum of consecutive naturals, for example, 10796731 + ... + 10796928.

It is an arithmetic number, because the mean of its divisors is an integer number (280717580).

Almost surely, 22137772241 is an apocalyptic number.

It is an amenable number.

2137772241 is a deficient number, since it is larger than the sum of its proper divisors (1230838719).

2137772241 is a wasteful number, since it uses less digits than its factorization.

2137772241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21593676 (or 21593673 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 2137772241 is about 46236.0491499869. The cubic root of 2137772241 is about 1288.2114188861.

The spelling of 2137772241 in words is "two billion, one hundred thirty-seven million, seven hundred seventy-two thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 21593659 64780977 194342931 237530249 712590747 2137772241