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1231312122 = 232376612797
BaseRepresentation
bin100100101100100…
…0101010011111010
310011210221010200200
41021121011103322
510010203441442
6322103143030
742340660155
oct11131052372
93153833620
101231312122
11582053027
122a4444a76
13168138771
14b9760c9c
157317334c
hex496454fa

1231312122 has 48 divisors (see below), whose sum is σ = 2745073032. Its totient is φ = 398597760.

The previous prime is 1231312111. The next prime is 1231312151. The reversal of 1231312122 is 2212131321.

1231312122 is a `hidden beast` number, since 1 + 231 + 312 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1214592201 + 16719921 = 34851^2 + 4089^2 .

It is a super-2 number, since 2×12313121222 = 3032259083568285768, which contains 22 as substring.

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 = 1231312095 and 1231312104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438828 + ... + 441624.

Almost surely, 21231312122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231312122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372536516).

1231312122 is an abundant number, since it is smaller than the sum of its proper divisors (1513760910).

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

1231312122 is a wasteful number, since it uses less digits than its factorization.

1231312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3500 counting only the distinct ones).

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

The square root of 1231312122 is about 35090.0573097281. The cubic root of 1231312122 is about 1071.8221266147.

Adding to 1231312122 its reverse (2212131321), we get a palindrome (3443443443).

The spelling of 1231312122 in words is "one billion, two hundred thirty-one million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 661 666 1322 1983 2797 3966 5594 5949 8391 11898 16782 24457 25173 48914 50346 73371 103489 146742 206978 220113 310467 440226 620934 931401 1848817 1862802 3697634 5546451 11092902 16639353 33278706 68406229 136812458 205218687 410437374 615656061 1231312122