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112212220010020 = 225132515317158409
BaseRepresentation
bin11001100000111001110001…
…100000110101111000100100
3112201022101100112210010221021
4121200321301200311320210
5104201441111310310040
61034353325432100524
732431031263403164
oct3140716140657044
9481271315703837
10112212220010020
1132832a31913609
1210703591534744
134a7c74a75b650
141d9d1598005a4
15ce8d6d89324a
hex660e71835e24

112212220010020 has 48 divisors (see below), whose sum is σ = 253782355342320. Its totient is φ = 41430554689536.

The previous prime is 112212220010003. The next prime is 112212220010063. The reversal of 112212220010020 is 20010022212211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3269269004544 + 108942951005476 = 1808112^2 + 10437574^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112212220009976 and 112212220010003.

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, 2039425 + ... + 15118984.

It is an arithmetic number, because the mean of its divisors is an integer number (5287132402965).

Almost surely, 2112212220010020 is an apocalyptic number.

112212220010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112212220010020 is an abundant number, since it is smaller than the sum of its proper divisors (141570135332300).

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

112212220010020 is a wasteful number, since it uses less digits than its factorization.

112212220010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17183584 (or 17183582 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112212220010020 its reverse (20010022212211), we get a palindrome (132222242222231).

The spelling of 112212220010020 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 25153 50306 100612 125765 251530 326989 503060 653978 1307956 1634945 3269890 6539780 17158409 34316818 68633636 85792045 171584090 223059317 343168180 446118634 892237268 1115296585 2230593170 4461186340 431585461577 863170923154 1726341846308 2157927307885 4315854615770 5610611000501 8631709231540 11221222001002 22442444002004 28053055002505 56106110005010 112212220010020