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122311000020 = 223511185319697
BaseRepresentation
bin111000111101001001…
…1011011111111010100
3102200201001201120112210
41301322103123333110
54000443104000040
6132104445113420
711556660226536
oct1617223337724
9380631646483
10122311000020
11479654096a0
121b855858870
13b6c2c112c1
145cc4239856
1532acceb480
hex1c7a4dbfd4

122311000020 has 48 divisors (see below), whose sum is σ = 373604511168. Its totient is φ = 29651151360.

The previous prime is 122311000003. The next prime is 122311000067. The reversal of 122311000020 is 20000113221.

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

It is a congruent number.

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, 92659189 + ... + 92660508.

It is an arithmetic number, because the mean of its divisors is an integer number (7783427316).

Almost surely, 2122311000020 is an apocalyptic number.

122311000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311000020 is an abundant number, since it is smaller than the sum of its proper divisors (251293511148).

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

122311000020 is a wasteful number, since it uses less digits than its factorization.

122311000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185319720 (or 185319718 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122311000020 its reverse (20000113221), we get a palindrome (142311113241).

The spelling of 122311000020 in words is "one hundred twenty-two billion, three hundred eleven million, twenty", and thus it is an aban number.

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 185319697 370639394 555959091 741278788 926598485 1111918182 1853196970 2038516667 2223836364 2779795455 3706393940 4077033334 5559590910 6115550001 8154066668 10192583335 11119181820 12231100002 20385166670 24462200004 30577750005 40770333340 61155500010 122311000020