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20022133311220 = 2251001106665561
BaseRepresentation
bin1001000110101110001000…
…01001001100011011110100
32121220002121220012012202011
410203113010021030123310
510111020312111424340
6110330012511454004
74134360062042005
oct443270411143364
977802556165664
1020022133311220
11641a380307387
1222b450bb27304
13b231049406b1
144d310d9c11ac
1524ac4d0490ea
hex1235c424c6f4

20022133311220 has 12 divisors (see below), whose sum is σ = 42046479953604. Its totient is φ = 8008853324480.

The previous prime is 20022133311211. The next prime is 20022133311221. The reversal of 20022133311220 is 2211333122002.

It can be written as a sum of positive squares in 2 ways, for example, as 4191076972944 + 15831056338276 = 2047212^2 + 3978826^2 .

It is a super-6 number, since 6×200221333112206 (a number of 81 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20022133311191 and 20022133311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022133311221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500553332761 + ... + 500553332800.

It is an arithmetic number, because the mean of its divisors is an integer number (3503873329467).

Almost surely, 220022133311220 is an apocalyptic number.

20022133311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022133311220 is an abundant number, since it is smaller than the sum of its proper divisors (22024346642384).

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

20022133311220 is a wasteful number, since it uses less digits than its factorization.

20022133311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001106665570 (or 1001106665568 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 20022133311220 its reverse (2211333122002), we get a palindrome (22233466433222).

The spelling of 20022133311220 in words is "twenty trillion, twenty-two billion, one hundred thirty-three million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1001106665561 2002213331122 4004426662244 5005533327805 10011066655610 20022133311220