Search a number
-
+
122133131231 = 1072716136871
BaseRepresentation
bin111000110111110110…
…0111010111111011111
3102200020200000220102212
41301233230322333133
54000112040144411
6132035052511035
711552400325616
oct1615754727737
9380220026385
10122133131231
1147883a721a1
121b80617b47b
13b6951054b7
145ca877887d
15329c3b468b
hex1c6fb3afdf

122133131231 has 16 divisors (see below), whose sum is σ = 123949329408. Its totient is φ = 120331072800.

The previous prime is 122133131221. The next prime is 122133131233. The reversal of 122133131231 is 132131331221.

It is a cyclic number.

It is not a de Polignac number, because 122133131231 - 26 = 122133131167 is a prime.

It is a super-2 number, since 2×1221331312312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122133131197 and 122133131206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133131233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17771726 + ... + 17778596.

It is an arithmetic number, because the mean of its divisors is an integer number (7746833088).

Almost surely, 2122133131231 is an apocalyptic number.

122133131231 is a deficient number, since it is larger than the sum of its proper divisors (1816198177).

122133131231 is a wasteful number, since it uses less digits than its factorization.

122133131231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7862.

The product of its digits is 648, while the sum is 23.

Adding to 122133131231 its reverse (132131331221), we get a palindrome (254264462452).

The spelling of 122133131231 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 107 271 613 6871 28997 65591 166123 735197 1862041 4211923 17775161 199238387 450675761 1141431133 122133131231