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202112100020 = 22517594447353
BaseRepresentation
bin1011110000111011010…
…0011110011010110100
3201022200112120111001002
42330032310132122310
511302411144200040
6232503215422432
720413345335005
oct2741664363264
9638615514032
10202112100020
1178796014206
1233206b24a18
131609ca856bc
149ad47db1ac
1553cdacba15
hex2f0ed1e6b4

202112100020 has 24 divisors (see below), whose sum is σ = 449402199624. Its totient is φ = 76089261056.

The previous prime is 202112100019. The next prime is 202112100041. The reversal of 202112100020 is 20001211202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23712304144 + 178399795876 = 153988^2 + 422374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202112099974 and 202112100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297223337 + ... + 297224016.

It is an arithmetic number, because the mean of its divisors is an integer number (18725091651).

Almost surely, 2202112100020 is an apocalyptic number.

202112100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112100020 is an abundant number, since it is smaller than the sum of its proper divisors (247290099604).

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

202112100020 is a wasteful number, since it uses less digits than its factorization.

202112100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594447379 (or 594447377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202112100020 its reverse (20001211202), we get a palindrome (222113311222).

The spelling of 202112100020 in words is "two hundred two billion, one hundred twelve million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 594447353 1188894706 2377789412 2972236765 5944473530 10105605001 11888947060 20211210002 40422420004 50528025005 101056050010 202112100020