Search a number
-
+
122402032202031 = 31012579315661889
BaseRepresentation
bin11011110101001011110001…
…101001100011000100101111
3121001101112001002010211000020
4123311023301221203010233
5112020413330220431111
61112154414535133223
734532153315054421
oct3365136151430457
9531345032124006
10122402032202031
11360014571888aa
121188a400b14213
13533b60133ca8a
14223240b960811
15e23e57650906
hex6f52f1a6312f

122402032202031 has 16 divisors (see below), whose sum is σ = 164824978589280. Its totient is φ = 80790283059200.

The previous prime is 122402032202029. The next prime is 122402032202039. The reversal of 122402032202031 is 130202230204221.

It is a cyclic number.

It is not a de Polignac number, because 122402032202031 - 21 = 122402032202029 is a prime.

It is a super-2 number, since 2×1224020322020312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122402032201992 and 122402032202010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122402032202039) 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, 15666 + ... + 15646223.

It is an arithmetic number, because the mean of its divisors is an integer number (10301561161830).

Almost surely, 2122402032202031 is an apocalyptic number.

122402032202031 is a deficient number, since it is larger than the sum of its proper divisors (42422946387249).

122402032202031 is a wasteful number, since it uses less digits than its factorization.

122402032202031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15687786.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122402032202031 its reverse (130202230204221), we get a palindrome (252604262406252).

The spelling of 122402032202031 in words is "one hundred twenty-two trillion, four hundred two billion, thirty-two million, two hundred two thousand, thirty-one".

Divisors: 1 3 101 303 25793 77379 2605093 7815279 15661889 46985667 1581850789 4745552367 403967102977 1211901308931 40800677400677 122402032202031