Search a number
-
+
112111023311320 = 235111975117856737
BaseRepresentation
bin11001011111011011100001…
…101110000100100111011000
3112200221201010222100012200111
4121133123201232010213120
5104143311333431430240
61034235032035414104
732420516445556165
oct3137334156044730
9480851128305614
10112111023311320
11327a4021a27020
12106a7a4aa54334
134a73041042287
141d982b986d06c
15ce63e95711ea
hex65f6e1b849d8

112111023311320 has 128 divisors (see below), whose sum is σ = 290050566681600. Its totient is φ = 38570549760000.

The previous prime is 112111023311293. The next prime is 112111023311407. The reversal of 112111023311320 is 23113320111211.

112111023311320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1121110233113202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 112111023311291 and 112111023311300.

It is a congruent number.

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, 2650009 + ... + 15206728.

It is an arithmetic number, because the mean of its divisors is an integer number (2266020052200).

Almost surely, 2112111023311320 is an apocalyptic number.

112111023311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112111023311320 is an abundant number, since it is smaller than the sum of its proper divisors (177939543370280).

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

112111023311320 is a wasteful number, since it uses less digits than its factorization.

112111023311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17857529 (or 17857525 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 112111023311320 its reverse (23113320111211), we get a palindrome (135224343422531).

The spelling of 112111023311320 in words is "one hundred twelve trillion, one hundred eleven billion, twenty-three million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 751 760 836 1045 1502 1672 2090 3004 3755 4180 6008 7510 8261 8360 14269 15020 16522 28538 30040 33044 41305 57076 66088 71345 82610 114152 142690 156959 165220 285380 313918 330440 570760 627836 784795 1255672 1569590 3139180 6278360 17856737 35713474 71426948 89283685 142853896 178567370 196424107 339278003 357134740 392848214 678556006 714269480 785696428 982120535 1357112012 1571392856 1696390015 1964241070 2714224024 3392780030 3732058033 3928482140 6785560060 7464116066 7856964280 13410409487 13571120120 14928232132 18660290165 26820818974 29856464264 37320580330 53641637948 67052047435 74641160660 107283275896 134104094870 147514504357 149282321320 254797780253 268208189740 295029008714 509595560506 536416379480 590058017428 737572521785 1019191121012 1180116034856 1273988901265 1475145043570 2038382242024 2547977802530 2802775582783 2950290087140 5095955605060 5605551165566 5900580174280 10191911210120 11211102331132 14013877913915 22422204662264 28027755827830 56055511655660 112111023311320