Search a number
-
+
122133223131 = 3173027179111
BaseRepresentation
bin111000110111110110…
…1010001011011011011
3102200020200012120111120
41301233231101123123
54000112101120011
6132035054500323
711552401160553
oct1615755213333
9380220176446
10122133223131
1147884025247
121b8062046a3
13b69513828a
145ca87a0163
15329c3d1a06
hex1c6fb516db

122133223131 has 16 divisors (see below), whose sum is σ = 172431249408. Its totient is φ = 76629110400.

The previous prime is 122133223099. The next prime is 122133223139. The reversal of 122133223131 is 131322331221.

It is not a de Polignac number, because 122133223131 - 25 = 122133223099 is a prime.

It is a super-2 number, since 2×1221332231312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122133223139) 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 15 ways as a sum of consecutive naturals, for example, 1504266 + ... + 1583376.

It is an arithmetic number, because the mean of its divisors is an integer number (10776953088).

Almost surely, 2122133223131 is an apocalyptic number.

122133223131 is a deficient number, since it is larger than the sum of its proper divisors (50298026277).

122133223131 is a wasteful number, since it uses less digits than its factorization.

122133223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109402.

The product of its digits is 1296, while the sum is 24.

Adding to 122133223131 its reverse (131322331221), we get a palindrome (253455554352).

The spelling of 122133223131 in words is "one hundred twenty-two billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 17 51 30271 79111 90813 237333 514607 1344887 1543821 4034661 2394769081 7184307243 40711074377 122133223131