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12310011414041 = 11217231571657283
BaseRepresentation
bin1011001100100010010111…
…0110111000011000011001
31121120211021212020122210012
42303020211312320120121
53103141400410222131
642103050254331305
72410240362366035
oct263104566703031
947524255218705
1012310011414041
113a16712581700
121469919ab9b35
136b3aa16a4013
14307b445b51c5
1516532949452b
hexb3225db8619

12310011414041 has 48 divisors (see below), whose sum is σ = 15044903701632. Its totient is φ = 10010513610240.

The previous prime is 12310011414031. The next prime is 12310011414047. The reversal of 12310011414041 is 14041411001321.

It is not a de Polignac number, because 12310011414041 - 26 = 12310011413977 is a prime.

It is a super-3 number, since 3×123100114140413 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12310011413998 and 12310011414016.

It is not an unprimeable number, because it can be changed into a prime (12310011414047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6599186 + ... + 8256468.

It is an arithmetic number, because the mean of its divisors is an integer number (313435493784).

Almost surely, 212310011414041 is an apocalyptic number.

12310011414041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12310011414041 is a deficient number, since it is larger than the sum of its proper divisors (2734892287591).

12310011414041 is a wasteful number, since it uses less digits than its factorization.

12310011414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657502 (or 1657491 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 12310011414041 its reverse (14041411001321), we get a palindrome (26351422415362).

The spelling of 12310011414041 in words is "twelve trillion, three hundred ten billion, eleven million, four hundred fourteen thousand, forty-one".

Divisors: 1 11 17 23 121 157 187 253 391 1727 2057 2669 2783 3611 4301 18997 29359 39721 47311 61387 322949 436931 675257 1657283 7427827 18230113 28173811 38117509 200531243 260193431 309911921 419292599 647997653 2862127741 3409031131 4423288327 4612218589 5984448913 7127974183 31483405151 48656171597 65828938043 78407716013 101735631521 535217887567 724118318473 1119091946731 12310011414041