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2331121122 = 2321133135569
BaseRepresentation
bin1000101011110010…
…0001010111100010
320000110102020000100
42022330201113202
514233231333442
61023152003230
7111524126331
oct21274412742
96013366010
102331121122
11a96947890
12550830516
132b1c50515
1418184dd18
15d99bc84c
hex8af215e2

2331121122 has 48 divisors (see below), whose sum is σ = 5526724320. Its totient is φ = 704246400.

The previous prime is 2331121109. The next prime is 2331121127. The reversal of 2331121122 is 2211211332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2331121095 and 2331121104.

It is not an unprimeable number, because it can be changed into a prime (2331121127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47754 + ... + 83322.

It is an arithmetic number, because the mean of its divisors is an integer number (115140090).

Almost surely, 22331121122 is an apocalyptic number.

2331121122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763362160).

2331121122 is an abundant number, since it is smaller than the sum of its proper divisors (3195603198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2331121122 is a wasteful number, since it uses less digits than its factorization.

2331121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35919 (or 35916 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2331121122 is about 48281.6851611457. The cubic root of 2331121122 is about 1325.9331026903.

Adding to 2331121122 its reverse (2211211332), we get a palindrome (4542332454).

The spelling of 2331121122 in words is "two billion, three hundred thirty-one million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 331 662 993 1986 2979 3641 5958 7282 10923 21846 32769 35569 65538 71138 106707 213414 320121 391259 640242 782518 1173777 2347554 3521331 7042662 11773339 23546678 35320017 70640034 105960051 129506729 211920102 259013458 388520187 777040374 1165560561 2331121122