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123111313031 = 71719712294273
BaseRepresentation
bin111001010101000000…
…0011000111010000111
3102202202211122200121102
41302222000120322013
54004112444004111
6132320114410315
711615545615610
oct1625200307207
9382684580542
10123111313031
1148236143703
121ba3989099b
13b7bc9737b5
145d5c646c07
1533081d613b
hex1caa018e87

123111313031 has 32 divisors (see below), whose sum is σ = 149888154240. Its totient is φ = 98709037056.

The previous prime is 123111313021. The next prime is 123111313057. The reversal of 123111313031 is 130313111321.

It is not a de Polignac number, because 123111313031 - 222 = 123107118727 is a prime.

It is a super-2 number, since 2×1231113130312 (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 = 123111312994 and 123111313012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123111313001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28809311 + ... + 28813583.

It is an arithmetic number, because the mean of its divisors is an integer number (4684004820).

Almost surely, 2123111313031 is an apocalyptic number.

123111313031 is a deficient number, since it is larger than the sum of its proper divisors (26776841209).

123111313031 is a wasteful number, since it uses less digits than its factorization.

123111313031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 123111313031 its reverse (130313111321), we get a palindrome (253424424352).

The spelling of 123111313031 in words is "one hundred twenty-three billion, one hundred eleven million, three hundred thirteen thousand, thirty-one".

Divisors: 1 7 17 119 197 1229 1379 3349 4273 8603 20893 23443 29911 72641 146251 242113 508487 841781 1694791 4115921 5251517 5892467 14310277 28811447 36760619 89275789 100171939 624930523 1034548849 7241841943 17587330433 123111313031