Search a number
-
+
2131120005 = 35722899483
BaseRepresentation
bin111111100000110…
…0100111110000101
312111112002010001120
41333001210332011
513331031320010
6551245144153
7103545135600
oct17701447605
95445063046
102131120005
119a3a64003
124b585b059
1327c695871
1416306b337
15c7162e70
hex7f064f85

2131120005 has 24 divisors (see below), whose sum is σ = 3966494112. Its totient is φ = 974225952.

The previous prime is 2131120001. The next prime is 2131120021. The reversal of 2131120005 is 5000211312.

It is not a de Polignac number, because 2131120005 - 22 = 2131120001 is a prime.

It is a super-2 number, since 2×21311200052 = 9083344951422400050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449007 + ... + 1450476.

It is an arithmetic number, because the mean of its divisors is an integer number (165270588).

Almost surely, 22131120005 is an apocalyptic number.

It is an amenable number.

2131120005 is a deficient number, since it is larger than the sum of its proper divisors (1835374107).

2131120005 is a wasteful number, since it uses less digits than its factorization.

2131120005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899505 (or 2899498 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2131120005 is about 46164.0553352931. The cubic root of 2131120005 is about 1286.8738285446.

Adding to 2131120005 its reverse (5000211312), we get a palindrome (7131331317).

The spelling of 2131120005 in words is "two billion, one hundred thirty-one million, one hundred twenty thousand, five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 2899483 8698449 14497415 20296381 43492245 60889143 101481905 142074667 304445715 426224001 710373335 2131120005