Search a number
-
+
122003133231 = 3722643256577
BaseRepresentation
bin111000110011111110…
…1000001001100101111
3102122220121102022201010
41301213331001030233
53444330300230411
6132014130320303
711546231343660
oct1614775011457
9378817368633
10122003133231
1147817651831
121b78a729093
13b6741ba8c5
145c953b9367
153290c867a6
hex1c67f4132f

122003133231 has 16 divisors (see below), whose sum is σ = 185918471424. Its totient is φ = 69712725504.

The previous prime is 122003133221. The next prime is 122003133247. The reversal of 122003133231 is 132331300221.

It is not a de Polignac number, because 122003133231 - 25 = 122003133199 is a prime.

It is a super-2 number, since 2×1220031332312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122003133198 and 122003133207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003133221) 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, 347215 + ... + 603791.

It is an arithmetic number, because the mean of its divisors is an integer number (11619904464).

Almost surely, 2122003133231 is an apocalyptic number.

122003133231 is a deficient number, since it is larger than the sum of its proper divisors (63915338193).

122003133231 is a wasteful number, since it uses less digits than its factorization.

122003133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279230.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122003133231 its reverse (132331300221), we get a palindrome (254334433452).

The spelling of 122003133231 in words is "one hundred twenty-two billion, three million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 21 22643 67929 158501 256577 475503 769731 1796039 5388117 5809673011 17429019033 40667711077 122003133231