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112133022300020 = 22529953202867573
BaseRepresentation
bin11001011111110000000000…
…111101100011011101110100
3112201000210221010022121220202
4121133300000331203131310
5104144141412202100040
61034253111014220032
732422225553103401
oct3137600075433564
9481023833277822
10112133022300020
1132802390871917
12106b016a354618
134a751388cbb57
141d993a54292a8
15ce6c85a50015
hex65fc00f63774

112133022300020 has 48 divisors (see below), whose sum is σ = 243854938650960. Its totient is φ = 43261103993856.

The previous prime is 112133022300017. The next prime is 112133022300121. The reversal of 112133022300020 is 20003220331211.

It can be written as a sum of positive squares in 8 ways, for example, as 404613032464 + 111728409267556 = 636092^2 + 10570166^2 .

It is a super-2 number, since 2×1121330223000202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112133022299965 and 112133022300001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100881047 + ... + 101986526.

It is an arithmetic number, because the mean of its divisors is an integer number (5080311221895).

Almost surely, 2112133022300020 is an apocalyptic number.

112133022300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112133022300020 is an abundant number, since it is smaller than the sum of its proper divisors (131721916350940).

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

112133022300020 is a wasteful number, since it uses less digits than its factorization.

112133022300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202868564 (or 202868562 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 112133022300020 its reverse (20003220331211), we get a palindrome (132136242631231).

The spelling of 112133022300020 in words is "one hundred twelve trillion, one hundred thirty-three billion, twenty-two million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 953 1906 3812 4765 9530 19060 27637 55274 110548 138185 276370 552740 202867573 405735146 811470292 1014337865 2028675730 4057351460 5883159617 11766319234 23532638468 29415798085 58831596170 117663192340 193332797069 386665594138 773331188276 966663985345 1933327970690 3866655941380 5606651115001 11213302230002 22426604460004 28033255575005 56066511150010 112133022300020