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2122103331 = 321922075623
BaseRepresentation
bin111111001111100…
…1011101000100011
312110220010000111200
41332133023220203
513321224301311
6550324012243
7103405403115
oct17637135043
95426100450
102122103331
11999965707
124b2831083
1327a85975a
14161ba13b5
15c6481556
hex7e7cba23

2122103331 has 24 divisors (see below), whose sum is σ = 3228625920. Its totient is φ = 1339430256.

The previous prime is 2122103329. The next prime is 2122103341. The reversal of 2122103331 is 1333012212.

It is not a de Polignac number, because 2122103331 - 21 = 2122103329 is a prime.

It is a super-2 number, since 2×21221033312 = 9006645094882591122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122103341) 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 23 ways as a sum of consecutive naturals, for example, 374586 + ... + 380208.

It is an arithmetic number, because the mean of its divisors is an integer number (134526080).

Almost surely, 22122103331 is an apocalyptic number.

2122103331 is a deficient number, since it is larger than the sum of its proper divisors (1106522589).

2122103331 is a wasteful number, since it uses less digits than its factorization.

2122103331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855 (or 7852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2122103331 is about 46066.2927855064. The cubic root of 2122103331 is about 1285.0563609349.

Adding to 2122103331 its reverse (1333012212), we get a palindrome (3455115543).

The spelling of 2122103331 in words is "two billion, one hundred twenty-two million, one hundred three thousand, three hundred thirty-one".

Divisors: 1 3 9 19 57 171 2207 5623 6621 16869 19863 41933 50607 106837 125799 320511 377397 961533 12409961 37229883 111689649 235789259 707367777 2122103331