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110312123031 = 321114943117351
BaseRepresentation
bin110011010111100011…
…1010110101010010111
3101112201211201110200100
41212233013112222113
53301404400414111
6122402055345143
710653431401065
oct1465707265227
9345654643610
10110312123031
1142868354830
12194673821b3
13a5300809a6
1454a6831035
152d096ed756
hex19af1d6a97

110312123031 has 48 divisors (see below), whose sum is σ = 175407897600. Its totient is φ = 66249240000.

The previous prime is 110312123027. The next prime is 110312123041. The reversal of 110312123031 is 130321213011.

It is not a de Polignac number, because 110312123031 - 22 = 110312123027 is a prime.

It is a super-2 number, since 2×1103121230312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110312122995 and 110312123013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110312123041) 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, 6349006 + ... + 6366356.

It is an arithmetic number, because the mean of its divisors is an integer number (3654331200).

Almost surely, 2110312123031 is an apocalyptic number.

110312123031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110312123031 is a deficient number, since it is larger than the sum of its proper divisors (65095774569).

110312123031 is a wasteful number, since it uses less digits than its factorization.

110312123031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17948 (or 17945 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110312123031 its reverse (130321213011), we get a palindrome (240633336042).

The spelling of 110312123031 in words is "one hundred ten billion, three hundred twelve million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 11 33 99 149 431 447 1293 1341 1639 3879 4741 4917 14223 14751 17351 42669 52053 64219 156159 190861 192657 572583 577971 706409 1717749 2119227 2585299 6357681 7478281 7755897 22434843 23267691 28438289 67304529 82261091 85314867 246783273 255944601 740349819 1114263869 3342791607 10028374821 12256902559 36770707677 110312123031