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122221031131 = 197741830989
BaseRepresentation
bin111000111010011110…
…0001110111011011011
3102200110210102200102201
41301310330032323123
54000302040444011
6132051512511031
711554515423553
oct1616474167333
9380423380381
10122221031131
1147919649741
121b82b6ab477
13b6aa3a0584
145cb62da163
1532a4e78cc1
hex1c74f0eedb

122221031131 has 8 divisors (see below), whose sum is σ = 128670491600. Its totient is φ = 115773248160.

The previous prime is 122221031099. The next prime is 122221031167. The reversal of 122221031131 is 131130122221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122221031131 - 25 = 122221031099 is a prime.

It is a super-2 number, since 2×1222210311312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122221031099 and 122221031108.

It is not an unprimeable number, because it can be changed into a prime (122221031431) 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, 268416 + ... + 562573.

It is an arithmetic number, because the mean of its divisors is an integer number (16083811450).

Almost surely, 2122221031131 is an apocalyptic number.

122221031131 is a deficient number, since it is larger than the sum of its proper divisors (6449460469).

122221031131 is an equidigital number, since it uses as much as digits as its factorization.

122221031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838749.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122221031131 its reverse (131130122221), we get a palindrome (253351153352).

The spelling of 122221031131 in words is "one hundred twenty-two billion, two hundred twenty-one million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 19 7741 147079 830989 15788791 6432685849 122221031131