Search a number
-
+
12300223202031 = 373891633871607
BaseRepresentation
bin1011001011111101111001…
…1011110100001011101111
31121112220000200222222011110
42302333132123310023233
53103011324114431111
642054351115123103
72406442666065552
oct262773633641357
947486020888143
1012300223202031
113a1254a371096
121467a47a43493
136b2ba183a4ab
14307496622699
15164e54ebd5a6
hexb2fde6f42ef

12300223202031 has 32 divisors (see below), whose sum is σ = 16914900487680. Its totient is φ = 7947880579584.

The previous prime is 12300223202009. The next prime is 12300223202129. The reversal of 12300223202031 is 13020232200321.

It is a happy number.

It is not a de Polignac number, because 12300223202031 - 218 = 12300222939887 is a prime.

It is a super-2 number, since 2×123002232020312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12300223201989 and 12300223202007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300223202131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241230 + ... + 5112836.

It is an arithmetic number, because the mean of its divisors is an integer number (528590640240).

Almost surely, 212300223202031 is an apocalyptic number.

12300223202031 is a deficient number, since it is larger than the sum of its proper divisors (4614677285649).

12300223202031 is a wasteful number, since it uses less digits than its factorization.

12300223202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871935.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12300223202031 its reverse (13020232200321), we get a palindrome (25320455402352).

The spelling of 12300223202031 in words is "twelve trillion, three hundred billion, two hundred twenty-three million, two hundred two thousand, thirty-one".

Divisors: 1 3 73 89 163 219 267 489 6497 11899 14507 19491 35697 43521 1059011 3177033 3871607 11614821 282627311 344573023 631071941 847881933 1033719069 1893215823 25153830679 46068251693 56165402749 75461492037 138204755079 168496208247 4100074400677 12300223202031