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112121200110020 = 2256191902623041
BaseRepresentation
bin11001011111100101000000…
…010011011110100111000100
3112200222200102012210011000212
4121133211000103132213010
5104143443204212010040
61034243433535454552
732421326601124223
oct3137450023364704
9480880365704025
10112121200110020
11327a8374517562
12106a9a0b087458
134a73ca355245a
141d989a3294cba
15ce67e2c03d65
hex65f9404de9c4

112121200110020 has 24 divisors (see below), whose sum is σ = 239314430401368. Its totient is φ = 44113259059200.

The previous prime is 112121200109987. The next prime is 112121200110089. The reversal of 112121200110020 is 20011002121211.

It can be written as a sum of positive squares in 4 ways, for example, as 11714026475776 + 100407173634244 = 3422576^2 + 10020338^2 .

It is a super-2 number, since 2×1121212001100202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112121200109977 and 112121200110004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45951310301 + ... + 45951312740.

It is an arithmetic number, because the mean of its divisors is an integer number (9971434600057).

Almost surely, 2112121200110020 is an apocalyptic number.

112121200110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121200110020 is an abundant number, since it is smaller than the sum of its proper divisors (127193230291348).

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

112121200110020 is a wasteful number, since it uses less digits than its factorization.

112121200110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91902623111 (or 91902623109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112121200110020 its reverse (20011002121211), we get a palindrome (132132202231231).

The spelling of 112121200110020 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 91902623041 183805246082 367610492164 459513115205 919026230410 1838052460820 5606060005501 11212120011002 22424240022004 28030300027505 56060600055010 112121200110020