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112113203101110 = 232516319819385607
BaseRepresentation
bin11001011111011101100011…
…101001010011110110110110
3112200221220202220000000010200
4121133131203221103312312
5104143330314443213420
61034240032224101330
732420624454512361
oct3137354351236666
9480856686000120
10112113203101110
11327a4a40402392
12106a8358a64846
134a732ca818913
141d984451690d8
15ce64c5ae9b90
hex65f763a53db6

112113203101110 has 96 divisors (see below), whose sum is σ = 293298195490560. Its totient is φ = 29711861584704.

The previous prime is 112113203101091. The next prime is 112113203101183. The reversal of 112113203101110 is 11101302311211.

112113203101110 is a `hidden beast` number, since 1 + 1 + 2 + 11 + 320 + 310 + 11 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290551927 + ... + 290937533.

It is an arithmetic number, because the mean of its divisors is an integer number (3055189536360).

Almost surely, 2112113203101110 is an apocalyptic number.

112113203101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112113203101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146649097745280).

112113203101110 is an abundant number, since it is smaller than the sum of its proper divisors (181184992389450).

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

112113203101110 is a wasteful number, since it uses less digits than its factorization.

112113203101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405602 (or 405599 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 112113203101110 its reverse (11101302311211), we get a palindrome (123214505412321).

The spelling of 112113203101110 in words is "one hundred twelve trillion, one hundred thirteen billion, two hundred three million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 326 489 815 978 1467 1630 2445 2934 4890 7335 14670 19819 39638 59457 99095 118914 178371 198190 297285 356742 385607 594570 771214 891855 1156821 1783710 1928035 2313642 3230497 3470463 3856070 5784105 6460994 6940926 9691491 11568210 16152485 17352315 19382982 29074473 32304970 34704630 48457455 58148946 62853941 96914910 125707882 145372365 188561823 290744730 314269705 377123646 565685469 628539410 942809115 1131370938 1885618230 2828427345 5656854690 7642345133 15284690266 22927035399 38211725665 45854070798 68781106197 76423451330 114635176995 137562212394 229270353990 343905530985 687811061970 1245702256679 2491404513358 3737106770037 6228511283395 7474213540074 11211320310111 12457022566790 18685533850185 22422640620222 37371067700370 56056601550555 112113203101110