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112121100020 = 2256191902541
BaseRepresentation
bin110100001101011110…
…0000011011011110100
3101201101220122000121002
41220122330003123310
53314111000200040
6123301400142432
711046315424346
oct1503274033364
9351356560532
10112121100020
114360648aa36
1219891167a18
13a75aa94a87
1455d8ba3296
152db342ba15
hex1a1af036f4

112121100020 has 24 divisors (see below), whose sum is σ = 239314219368. Its totient is φ = 44113219200.

The previous prime is 112121100017. The next prime is 112121100067. The reversal of 112121100020 is 20001121211.

It can be written as a sum of positive squares in 4 ways, for example, as 241553764 + 111879546256 = 15542^2 + 334484^2 .

It is a super-2 number, since 2×1121211000202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112121099974 and 112121100010.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 45950051 + ... + 45952490.

It is an arithmetic number, because the mean of its divisors is an integer number (9971425807).

Almost surely, 2112121100020 is an apocalyptic number.

112121100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121100020 is an abundant number, since it is smaller than the sum of its proper divisors (127193119348).

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

112121100020 is a wasteful number, since it uses less digits than its factorization.

112121100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91902611 (or 91902609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112121100020 its reverse (20001121211), we get a palindrome (132122221231).

The spelling of 112121100020 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 91902541 183805082 367610164 459512705 919025410 1838050820 5606055001 11212110002 22424220004 28030275005 56060550010 112121100020