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122201011020 = 223511185153047
BaseRepresentation
bin111000111001110111…
…1110111001101001100
3102200102101202120000010
41301303233313031030
54000231424323040
6132045515433220
711554153312104
oct1616357671514
9380371676003
10122201011020
11479093152a0
121b824a55810
13b6a61b0c5a
145cb37a8204
1532a3321e80
hex1c73bf734c

122201011020 has 48 divisors (see below), whose sum is σ = 373268544768. Its totient is φ = 29624487360.

The previous prime is 122201010949. The next prime is 122201011033. The reversal of 122201011020 is 20110102221.

It is a super-2 number, since 2×1222010110202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122201010987 and 122201011005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92575864 + ... + 92577183.

It is an arithmetic number, because the mean of its divisors is an integer number (7776428016).

Almost surely, 2122201011020 is an apocalyptic number.

122201011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201011020 is an abundant number, since it is smaller than the sum of its proper divisors (251067533748).

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

122201011020 is a wasteful number, since it uses less digits than its factorization.

122201011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185153070 (or 185153068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122201011020 its reverse (20110102221), we get a palindrome (142311113241).

The spelling of 122201011020 in words is "one hundred twenty-two billion, two hundred one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 185153047 370306094 555459141 740612188 925765235 1110918282 1851530470 2036683517 2221836564 2777295705 3703060940 4073367034 5554591410 6110050551 8146734068 10183417585 11109182820 12220101102 20366835170 24440202204 30550252755 40733670340 61100505510 122201011020