Search a number
-
+
12301031130003 = 3271117750405671
BaseRepresentation
bin1011001100000000111010…
…0101110100001110010011
31121112222010000020221222200
42303000032211310032103
53103020002432130003
642055003215534243
72406502006261650
oct263001645641623
947488100227880
1012301031130003
113a12924427360
12146803252a383
136b2ca0037a95
14307531a52c27
15164ea0dae6a3
hexb300e974393

12301031130003 has 24 divisors (see below), whose sum is σ = 22152506278656. Its totient is φ = 6390146041200.

The previous prime is 12301031129987. The next prime is 12301031130023. The reversal of 12301031130003 is 30003113010321.

It is a happy number.

12301031130003 is a `hidden beast` number, since 12 + 30 + 10 + 311 + 300 + 0 + 3 = 666.

It is not a de Polignac number, because 12301031130003 - 24 = 12301031129987 is a prime.

It is a super-3 number, since 3×123010311300033 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12301031130023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8875202143 + ... + 8875203528.

It is an arithmetic number, because the mean of its divisors is an integer number (923021094944).

Almost surely, 212301031130003 is an apocalyptic number.

12301031130003 is a deficient number, since it is larger than the sum of its proper divisors (9851475148653).

12301031130003 is a wasteful number, since it uses less digits than its factorization.

12301031130003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17750405695 (or 17750405692 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12301031130003 its reverse (30003113010321), we get a palindrome (42304144140324).

The spelling of 12301031130003 in words is "twelve trillion, three hundred one billion, thirty-one million, one hundred thirty thousand, three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 17750405671 53251217013 124252839697 159753651039 195254462381 372758519091 585763387143 1118275557273 1366781236667 1757290161429 4100343710001 12301031130003