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112020201020 = 225713223276007
BaseRepresentation
bin110100001010011101…
…1001001111000111100
3101201010212202211012002
41220110323021320330
53313404132413040
6123243353401432
711043651666230
oct1502473117074
9351125684162
10112020201020
1143564535032
1219863409278
13a742bc8020
1455c961a5c0
152da964aa15
hex1a14ec9e3c

112020201020 has 96 divisors (see below), whose sum is σ = 290828525568. Its totient is φ = 35293439232.

The previous prime is 112020200993. The next prime is 112020201023. The reversal of 112020201020 is 20102020211.

It is a happy number.

112020201020 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 2×1120202010202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112020200992 and 112020201010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112020201023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267857 + ... + 543863.

It is an arithmetic number, because the mean of its divisors is an integer number (3029463808).

Almost surely, 2112020201020 is an apocalyptic number.

112020201020 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 112020201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145414262784).

112020201020 is an abundant number, since it is smaller than the sum of its proper divisors (178808324548).

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

112020201020 is a wasteful number, since it uses less digits than its factorization.

112020201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276259 (or 276257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112020201020 its reverse (20102020211), we get a palindrome (132122221231).

The spelling of 112020201020 in words is "one hundred twelve billion, twenty million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 223 260 364 446 455 892 910 1115 1561 1820 2230 2899 3122 4460 5798 6244 7805 11596 14495 15610 20293 28990 31220 40586 57980 81172 101465 202930 276007 405860 552014 1104028 1380035 1932049 2760070 3588091 3864098 5520140 7176182 7728196 9660245 14352364 17940455 19320490 25116637 35880910 38640980 50233274 61549561 71761820 100466548 123099122 125583185 246198244 251166370 307747805 430846927 502332740 615495610 800144293 861693854 1230991220 1600288586 1723387708 2154234635 3200577172 4000721465 4308469270 5601010051 8001442930 8616938540 11202020102 16002885860 22404040204 28005050255 56010100510 112020201020