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122133030100 = 22521221330301
BaseRepresentation
bin111000110111110110…
…0100010010011010100
3102200020122211202201021
41301233230202103110
54000112023430400
6132035050410524
711552366425024
oct1615754422324
9380218752637
10122133030100
1147883a03214
121b806130a44
13b69509b463
145ca874da84
15329c39471a
hex1c6fb224d4

122133030100 has 18 divisors (see below), whose sum is σ = 265028675534. Its totient is φ = 48853212000.

The previous prime is 122133030037. The next prime is 122133030101. The reversal of 122133030100 is 1030331221.

It can be written as a sum of positive squares in 3 ways, for example, as 1486565136 + 120646464964 = 38556^2 + 347342^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133030101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610665051 + ... + 610665250.

Almost surely, 2122133030100 is an apocalyptic number.

122133030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133030100 is an abundant number, since it is smaller than the sum of its proper divisors (142895645434).

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

122133030100 is a wasteful number, since it uses less digits than its factorization.

122133030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221330315 (or 1221330308 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 122133030100 its reverse (1030331221), we get a palindrome (123163361321).

The spelling of 122133030100 in words is "one hundred twenty-two billion, one hundred thirty-three million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1221330301 2442660602 4885321204 6106651505 12213303010 24426606020 30533257525 61066515050 122133030100