Search a number
-
+
112103012012031 = 33192412833204029
BaseRepresentation
bin11001011111010100000100…
…001101011000111111111111
3112200220221110122200001002000
4121133110010031120333333
5104143143432033341111
61034231225053433343
732420114066625405
oct3137240415307777
9480827418601060
10112103012012031
11327a0690841317
12106a6393a9b853
134a723653740b1
141d97b598a3475
15ce60cb092c56
hex65f504358fff

112103012012031 has 64 divisors (see below), whose sum is σ = 176165259072000. Its totient is φ = 70258951272960.

The previous prime is 112103012012021. The next prime is 112103012012039. The reversal of 112103012012031 is 130210210301211.

112103012012031 is a `hidden beast` number, since 1 + 1 + 210 + 301 + 2 + 0 + 120 + 31 = 666.

It is not a de Polignac number, because 112103012012031 - 211 = 112103012009983 is a prime.

It is a super-2 number, since 2×1121030120120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112103012011995 and 112103012012013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112103012012039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33386125 + ... + 36590153.

It is an arithmetic number, because the mean of its divisors is an integer number (2752582173000).

Almost surely, 2112103012012031 is an apocalyptic number.

112103012012031 is a deficient number, since it is larger than the sum of its proper divisors (64062247059969).

112103012012031 is a wasteful number, since it uses less digits than its factorization.

112103012012031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204581 (or 3204575 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112103012012031 its reverse (130210210301211), we get a palindrome (242313222313242).

The spelling of 112103012012031 in words is "one hundred twelve trillion, one hundred three billion, twelve million, twelve thousand, thirty-one".

Divisors: 1 3 9 19 27 57 171 241 283 513 723 849 2169 2547 4579 5377 6507 7641 13737 16131 41211 48393 68203 123633 145179 204609 613827 1295857 1841481 3204029 3887571 9612087 11662713 28836261 34988139 60876551 86508783 182629653 547888959 772170989 906740207 1643666877 2316512967 2720220621 6949538901 8160661863 14671248791 17228063933 20848616703 24481985589 44013746373 51684191799 132041239119 155052575397 218524389887 396123717357 465157726191 655573169661 1966719508983 4151963407853 5900158526949 12455890223559 37367670670677 112103012012031