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122400133131 = 3101503401959
BaseRepresentation
bin111000111111110011…
…1011101000000001011
3102200221021110000012010
41301333213131000023
54001133413230011
6132121351351003
711562121652043
oct1617747350013
9380837400163
10122400133131
1147a00758721
121b87b682463
13b70851b7a3
145cd1ddc723
1532b5a561a6
hex1c7f9dd00b

122400133131 has 8 divisors (see below), whose sum is σ = 163202191360. Its totient is φ = 81599081832.

The previous prime is 122400133129. The next prime is 122400133139. The reversal of 122400133131 is 131331004221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122400133131 - 21 = 122400133129 is a prime.

It is a super-2 number, since 2×1224001331312 (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 = 122400133098 and 122400133107.

It is not an unprimeable number, because it can be changed into a prime (122400133139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103530 + ... + 505488.

It is an arithmetic number, because the mean of its divisors is an integer number (20400273920).

Almost surely, 2122400133131 is an apocalyptic number.

122400133131 is a deficient number, since it is larger than the sum of its proper divisors (40802058229).

122400133131 is a wasteful number, since it uses less digits than its factorization.

122400133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503465.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122400133131 its reverse (131331004221), we get a palindrome (253731137352).

The spelling of 122400133131 in words is "one hundred twenty-two billion, four hundred million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 101503 304509 401959 1205877 40800044377 122400133131