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11122300132020 = 223257211472439133
BaseRepresentation
bin1010000111011001110010…
…1111111001101010110100
31110101021121012221002202200
42201312130233321222310
52424211432313211040
635353303015504500
72225362652150100
oct241663457715264
943337535832680
1011122300132020
1135a8a39515290
1212b76ab988130
13628a9cccb68c
142a6472182900
151444b355a630
hexa1d9cbf9ab4

11122300132020 has 432 divisors, whose sum is σ = 43724579528448. Its totient is φ = 2261953451520.

The previous prime is 11122300132003. The next prime is 11122300132049. The reversal of 11122300132020 is 2023100322111.

11122300132020 is a `hidden beast` number, since 1 + 1 + 1 + 22 + 300 + 1 + 320 + 20 = 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 = 11122300131984 and 11122300132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3340374 + ... + 5779506.

It is an arithmetic number, because the mean of its divisors is an integer number (101214304464).

Almost surely, 211122300132020 is an apocalyptic number.

11122300132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122300132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21862289764224).

11122300132020 is an abundant number, since it is smaller than the sum of its proper divisors (32602279396428).

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

11122300132020 is a wasteful number, since it uses less digits than its factorization.

11122300132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439220 (or 2439208 counting only the distinct ones).

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

Adding to 11122300132020 its reverse (2023100322111), we get a palindrome (13145400454131).

The spelling of 11122300132020 in words is "eleven trillion, one hundred twenty-two billion, three hundred million, one hundred thirty-two thousand, twenty".