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122131113100 = 22521498196719
BaseRepresentation
bin111000110111110010…
…1001110010010001100
3102200020112020101002021
41301233211032102030
54000111031104400
6132034541335524
711552344222063
oct1615745162214
9380215211067
10122131113100
1147882913a17
121b8055675a4
13b694879a39
145ca83b11da
15329c11671a
hex1c6f94e48c

122131113100 has 36 divisors (see below), whose sum is σ = 266803236000. Its totient is φ = 48524570560.

The previous prime is 122131113079. The next prime is 122131113107. The reversal of 122131113100 is 1311131221.

It is a happy number.

It is a super-2 number, since 2×1221311131002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122131113107) 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 11 ways as a sum of consecutive naturals, for example, 4083460 + ... + 4113259.

It is an arithmetic number, because the mean of its divisors is an integer number (7411201000).

Almost surely, 2122131113100 is an apocalyptic number.

122131113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131113100 is an abundant number, since it is smaller than the sum of its proper divisors (144672122900).

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

122131113100 is a wasteful number, since it uses less digits than its factorization.

122131113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196882 (or 8196875 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 122131113100 its reverse (1311131221), we get a palindrome (123442244321).

The spelling of 122131113100 in words is "one hundred twenty-two billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 8196719 16393438 32786876 40983595 81967190 163934380 204917975 409835950 819671900 1221311131 2442622262 4885244524 6106555655 12213111310 24426222620 30532778275 61065556550 122131113100