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11021202310122 = 23237411301310237
BaseRepresentation
bin1010000001100001001011…
…0110010100001111101010
31110000121122112112121222200
42200120102312110033222
52421032410242410442
635235023114401030
72215153444636464
oct240302266241752
943017575477880
1011021202310122
11356a07a422364
12129bb96430176
1361c3aac217a4
142a16013cd134
15141a47c6a34c
hexa0612d943ea

11021202310122 has 96 divisors (see below), whose sum is σ = 25142211201744. Its totient is φ = 3484570752000.

The previous prime is 11021202310093. The next prime is 11021202310133. The reversal of 11021202310122 is 22101320212011.

11021202310122 is a `hidden beast` number, since 1 + 10 + 21 + 202 + 310 + 122 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3319461719721 + 7701740590401 = 1821939^2 + 2775201^2 .

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 = 11021202310095 and 11021202310104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 35369988 + ... + 35680224.

Almost surely, 211021202310122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021202310122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571105600872).

11021202310122 is an abundant number, since it is smaller than the sum of its proper divisors (14121008891622).

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

11021202310122 is a wasteful number, since it uses less digits than its factorization.

11021202310122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311624 (or 311621 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11021202310122 its reverse (22101320212011), we get a palindrome (33122522522133).

The spelling of 11021202310122 in words is "eleven trillion, twenty-one billion, two hundred two million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1301 1517 2602 3034 3903 4551 7806 9102 11709 13653 23418 27306 48137 53341 96274 106682 144411 160023 288822 310237 320046 433233 480069 620474 866466 930711 960138 1861422 1973617 2792133 3947234 5584266 5920851 11478769 11841702 12719717 17762553 22957538 25439434 34436307 35525106 38159151 68872614 76318302 103308921 114477453 206617842 228954906 403618337 470629529 807236674 941259058 1210855011 1411888587 2421710022 2823777174 3632565033 4235665761 7265130066 8471331522 14933878469 16548351817 29867756938 33096703634 44801635407 49645055451 89603270814 99290110902 134404906221 148935166353 268809812442 297870332706 612289017229 1224578034458 1836867051687 3673734103374 5510601155061 11021202310122