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11311322022 = 232711131923747
BaseRepresentation
bin10101000100011010…
…10001001110100110
31002012022020200202200
422202031101032212
5141131144301042
65110224515330
7550206436140
oct124215211646
932168220680
1011311322022
114884a45720
12223817bb46
1310b358a970
1479438dc90
15463087c4c
hex2a23513a6

11311322022 has 576 divisors, whose sum is σ = 36426184704. Its totient is φ = 2446640640.

The previous prime is 11311321981. The next prime is 11311322089. The reversal of 11311322022 is 22022311311.

11311322022 is a `hidden beast` number, since 11 + 311 + 322 + 0 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11311321986 and 11311322004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 240666403 + ... + 240666449.

It is an arithmetic number, because the mean of its divisors is an integer number (63239904).

Almost surely, 211311322022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311322022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213092352).

11311322022 is an abundant number, since it is smaller than the sum of its proper divisors (25114862682).

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

11311322022 is a wasteful number, since it uses less digits than its factorization.

11311322022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

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

Adding to 11311322022 its reverse (22022311311), we get a palindrome (33333633333).

It can be divided in two parts, 11311 and 322022, that added together give a palindrome (333333).

The spelling of 11311322022 in words is "eleven billion, three hundred eleven million, three hundred twenty-two thousand, twenty-two".