Search a number
-
+
1103312112012 = 2233111098520311
BaseRepresentation
bin10000000011100010100…
…001101100100110001100
310220110211201101111021000
4100003202201230212030
5121034040400041022
62202504331340300
7142466050133535
oct20034241544614
93813751344230
101103312112012
11395a03a18850
121599b4bb1690
138007103b576
143b58731768c
151da766476ac
hex100e286c98c

1103312112012 has 96 divisors (see below), whose sum is σ = 3149107315200. Its totient is φ = 331269652800.

The previous prime is 1103312111999. The next prime is 1103312112029. The reversal of 1103312112012 is 2102112133011.

1103312112012 is a `hidden beast` number, since 110 + 331 + 21 + 1 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4130664 + ... + 4389647.

It is an arithmetic number, because the mean of its divisors is an integer number (32803201200).

Almost surely, 21103312112012 is an apocalyptic number.

1103312112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1103312112012 is an abundant number, since it is smaller than the sum of its proper divisors (2045795203188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1103312112012 is a wasteful number, since it uses less digits than its factorization.

1103312112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8520444 (or 8520436 counting only the distinct ones).

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

Adding to 1103312112012 its reverse (2102112133011), we get a palindrome (3205424245023).

The spelling of 1103312112012 in words is "one trillion, one hundred three billion, three hundred twelve million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 109 132 198 218 297 327 396 436 594 654 981 1188 1199 1308 1962 2398 2943 3597 3924 4796 5886 7194 10791 11772 14388 21582 32373 43164 64746 129492 8520311 17040622 25560933 34081244 51121866 76682799 93723421 102243732 153365598 187446842 230048397 281170263 306731196 374893684 460096794 562340526 843510789 920193588 928713899 1124681052 1687021578 1857427798 2530532367 2786141697 3374043156 3714855596 5061064734 5572283394 8358425091 10122129468 10215852889 11144566788 16716850182 20431705778 25075275273 30647558667 33433700364 40863411556 50150550546 61295117334 91942676001 100301101092 122590234668 183885352002 275828028003 367770704004 551656056006 1103312112012