Search a number
-
+
122312031132 = 22347921279059
BaseRepresentation
bin111000111101001011…
…1010111101110011100
3102200201010122221222010
41301322113113232130
54000443334444012
6132104523151220
711560002052644
oct1617227275634
9380633587863
10122312031132
1147965a53355
121b856075510
13b6c31b2725
145cc4427524
1532ace51c3c
hex1c7a5d7b9c

122312031132 has 24 divisors (see below), whose sum is σ = 285990566400. Its totient is φ = 40685558896.

The previous prime is 122312031097. The next prime is 122312031133. The reversal of 122312031132 is 231130213221.

It is a junction number, because it is equal to n+sod(n) for n = 122312031099 and 122312031108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312031133) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10633782 + ... + 10645277.

It is an arithmetic number, because the mean of its divisors is an integer number (11916273600).

Almost surely, 2122312031132 is an apocalyptic number.

122312031132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122312031132 is an abundant number, since it is smaller than the sum of its proper divisors (163678535268).

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

122312031132 is a wasteful number, since it uses less digits than its factorization.

122312031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21279545 (or 21279543 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122312031132 its reverse (231130213221), we get a palindrome (353442244353).

The spelling of 122312031132 in words is "one hundred twenty-two billion, three hundred twelve million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 479 958 1437 1916 2874 5748 21279059 42558118 63837177 85116236 127674354 255348708 10192669261 20385338522 30578007783 40770677044 61156015566 122312031132