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112022002010020 = 22573387491980113
BaseRepresentation
bin11001011110001000100111…
…101000110000011110100100
3112200122012100221001112210011
4121132020213220300132210
5104140332030003310040
61034130110340140004
732411215432154464
oct3136104750603644
9480565327045704
10112022002010020
113276a29a7aa833
1210692745997604
134a67824c0c66b
141d93c72935ba4
15ce3e390b93ea
hex65e227a307a4

112022002010020 has 48 divisors (see below), whose sum is σ = 238475029590000. Its totient is φ = 44193818750976.

The previous prime is 112022002009807. The next prime is 112022002010021. The reversal of 112022002010020 is 20010200220211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1721050124544 + 110300951885476 = 1311888^2 + 10502426^2 .

It is not an unprimeable number, because it can be changed into a prime (112022002010021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55583484 + ... + 57563596.

It is an arithmetic number, because the mean of its divisors is an integer number (4968229783125).

Almost surely, 2112022002010020 is an apocalyptic number.

112022002010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112022002010020 is an abundant number, since it is smaller than the sum of its proper divisors (126453027579980).

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

112022002010020 is a wasteful number, since it uses less digits than its factorization.

112022002010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018944 (or 2018942 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112022002010020 its reverse (20010200220211), we get a palindrome (132032202230231).

The spelling of 112022002010020 in words is "one hundred twelve trillion, twenty-two billion, two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 38749 77498 154996 193745 387490 774980 1980113 2828677 3960226 5657354 7920452 9900565 11314708 14143385 19801130 28286770 39602260 56573540 144548249 289096498 578192996 722741245 1445482490 2890964980 76727398637 153454797274 306909594548 383636993185 767273986370 1534547972740 5601100100501 11202200201002 22404400402004 28005500502505 56011001005010 112022002010020