Search a number
-
+
2117760381 = 321131719719
BaseRepresentation
bin111111000111010…
…0111010101111101
312110120221101002200
41332032213111331
513314121313011
6550050542113
7103323444342
oct17616472575
95416841080
102117760381
119974697a0
124b1297939
13279998a69
141613907c9
15c5dc4856
hex7e3a757d

2117760381 has 48 divisors (see below), whose sum is σ = 3493601280. Its totient is φ = 1224468000.

The previous prime is 2117760377. The next prime is 2117760383. The reversal of 2117760381 is 1830677112.

2117760381 is a `hidden beast` number, since 211 + 7 + 7 + 60 + 381 = 666.

It is not a de Polignac number, because 2117760381 - 22 = 2117760377 is a prime.

It is a super-2 number, since 2×21177603812 = 8969818062666530322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117760383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213040 + ... + 222758.

It is an arithmetic number, because the mean of its divisors is an integer number (72783360).

Almost surely, 22117760381 is an apocalyptic number.

It is an amenable number.

2117760381 is a deficient number, since it is larger than the sum of its proper divisors (1375840899).

2117760381 is a wasteful number, since it uses less digits than its factorization.

2117760381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9838 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2117760381 is about 46019.1305980459. The cubic root of 2117760381 is about 1284.1791263910.

The spelling of 2117760381 in words is "two billion, one hundred seventeen million, seven hundred sixty thousand, three hundred eighty-one".

Divisors: 1 3 9 11 31 33 71 93 99 213 279 341 639 781 1023 2201 2343 3069 6603 7029 9719 19809 24211 29157 72633 87471 106909 217899 301289 320727 690049 903867 962181 2070147 2711601 3314179 6210441 7590539 9942537 21391519 22771617 29827611 64174557 68314851 192523671 235306709 705920127 2117760381