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112331113020 = 223257283331469
BaseRepresentation
bin110100010011101110…
…1001100001000111100
3101201221112210210021100
41220213131030020330
53320023231104040
6123334301333100
711054445464220
oct1504735141074
9351845723240
10112331113020
1143703a918a5
121992b567190
13a792446819
145618a30780
152dc6ab2b30
hex1a2774c23c

112331113020 has 144 divisors (see below), whose sum is σ = 389564360640. Its totient is φ = 25665804288.

The previous prime is 112331113001. The next prime is 112331113033. The reversal of 112331113020 is 20311133211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112331112984 and 112331113002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3553846 + ... + 3585314.

It is an arithmetic number, because the mean of its divisors is an integer number (2705308060).

Almost surely, 2112331113020 is an apocalyptic number.

112331113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112331113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194782180320).

112331113020 is an abundant number, since it is smaller than the sum of its proper divisors (277233247620).

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

112331113020 is a wasteful number, since it uses less digits than its factorization.

112331113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34324 (or 34319 counting only the distinct ones).

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

Adding to 112331113020 its reverse (20311133211), we get a palindrome (132642246231).

The spelling of 112331113020 in words is "one hundred twelve billion, three hundred thirty-one million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2833 5666 8499 11332 14165 16998 19831 25497 28330 31469 33996 39662 42495 50994 56660 59493 62938 79324 84990 94407 99155 101988 118986 125876 127485 157345 169980 178479 188814 198310 220283 237972 254970 283221 297465 314690 356958 377628 396620 440566 472035 509940 566442 594930 629380 660849 713916 881132 892395 944070 1101415 1132884 1189860 1321698 1416105 1784790 1888140 1982547 2202830 2643396 2832210 3304245 3569580 3965094 4405660 5664420 6608490 7930188 9912735 13216980 19825470 39650940 89151677 178303354 267455031 356606708 445758385 534910062 624061739 802365093 891516770 1069820124 1248123478 1337275155 1604730186 1783033540 1872185217 2496246956 2674550310 3120308695 3209460372 3744370434 4011825465 5349100620 5616555651 6240617390 7488740868 8023650930 9360926085 11233111302 12481234780 16047301860 18721852170 22466222604 28082778255 37443704340 56165556510 112331113020