Search a number
-
+
122531121 = 32171575101
BaseRepresentation
bin1110100110110…
…10110100110001
322112120020002200
413103122310301
5222331443441
620054133413
73015332406
oct723326461
9275506080
10122531121
1163190499
1235051269
131c50202b
14123b82ad
15ab557b6
hex74dad31

122531121 has 24 divisors (see below), whose sum is σ = 188631144. Its totient is φ = 76377600.

The previous prime is 122531117. The next prime is 122531131. The reversal of 122531121 is 121135221.

122531121 is a `hidden beast` number, since 12 + 2 + 531 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 122213025 = 564^2 + 11055^2 .

It is not a de Polignac number, because 122531121 - 22 = 122531117 is a prime.

It is a super-2 number, since 2×1225311212 = 30027751227033282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122531094 and 122531103.

It is not an unprimeable number, because it can be changed into a prime (122531111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21471 + ... + 26571.

It is an arithmetic number, because the mean of its divisors is an integer number (7859631).

Almost surely, 2122531121 is an apocalyptic number.

It is an amenable number.

122531121 is a deficient number, since it is larger than the sum of its proper divisors (66100023).

122531121 is a wasteful number, since it uses less digits than its factorization.

122531121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5278 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 122531121 is about 11069.3776247809. The cubic root of 122531121 is about 496.6862479455.

Adding to 122531121 its reverse (121135221), we get a palindrome (243666342).

The spelling of 122531121 in words is "one hundred twenty-two million, five hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 157 471 1413 2669 5101 8007 15303 24021 45909 86717 260151 780453 800857 2402571 7207713 13614569 40843707 122531121