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11221323122130 = 235113147101311743
BaseRepresentation
bin1010001101001010101011…
…1110101000010111010010
31110201202012022011012101220
42203102222332220113102
52432322232204402010
635511001002105510
72235466563526212
oct243225276502722
943652168135356
1011221323122130
113636a333aa3a0
1213129264ab296
13635221290354
142ab18755c242
15146d5bb05970
hexa34aafa85d2

11221323122130 has 512 divisors, whose sum is σ = 31421915725824. Its totient is φ = 2539420800000.

The previous prime is 11221323122129. The next prime is 11221323122203. The reversal of 11221323122130 is 3122132312211.

11221323122130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112213231221302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11221323122130.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15102722539 + ... + 15102723281.

It is an arithmetic number, because the mean of its divisors is an integer number (61370929152).

Almost surely, 211221323122130 is an apocalyptic number.

11221323122130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221323122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15710957862912).

11221323122130 is an abundant number, since it is smaller than the sum of its proper divisors (20200592603694).

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

11221323122130 is a wasteful number, since it uses less digits than its factorization.

11221323122130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11221323122130 its reverse (3122132312211), we get a palindrome (14343455434341).

The spelling of 11221323122130 in words is "eleven trillion, two hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-two thousand, one hundred thirty".