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12350400000031 = 316120873129443
BaseRepresentation
bin1011001110111000110100…
…1101000111000000011111
31121201200112121111102001101
42303232031031013000133
53104322104400000111
642133410114053531
72413200265612432
oct263561515070037
947650477442041
1012350400000031
113a3185890a095
12147570bb7a2a7
136b783a0cc802
14309a96615819
151663e0137bc1
hexb3b8d34701f

12350400000031 has 16 divisors (see below), whose sum is σ = 12964009678848. Its totient is φ = 11750428821600.

The previous prime is 12350400000007. The next prime is 12350400000041. The reversal of 12350400000031 is 13000000405321.

It is a cyclic number.

It is not a de Polignac number, because 12350400000031 - 29 = 12350399999519 is a prime.

It is a super-2 number, since 2×123504000000312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12350399999954 and 12350400000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12350400000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2381796 + ... + 5511238.

It is an arithmetic number, because the mean of its divisors is an integer number (810250604928).

Almost surely, 212350400000031 is an apocalyptic number.

12350400000031 is a deficient number, since it is larger than the sum of its proper divisors (613609678817).

12350400000031 is a wasteful number, since it uses less digits than its factorization.

12350400000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131622.

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 12350400000031 its reverse (13000000405321), we get a palindrome (25350400405352).

The spelling of 12350400000031 in words is "twelve trillion, three hundred fifty billion, four hundred million, thirty-one", and thus it is an aban number.

Divisors: 1 31 61 1891 2087 64697 127307 3129443 3946517 97012733 190896023 5917776713 6531147541 202465573771 398400000001 12350400000031