Search a number
-
+
112010101020 = 223357910492503
BaseRepresentation
bin110100001010001010…
…0101000000100011100
3101201010011202200121000
41220110110220010130
53313344041213040
6123242353110300
711043500102166
oct1502424500434
9351104680530
10112010101020
1143559866824
121985bb58390
13a740a9caac
1455c814b936
152da8803130
hex1a1452811c

112010101020 has 192 divisors, whose sum is σ = 353364480000. Its totient is φ = 29451382272.

The previous prime is 112010100977. The next prime is 112010101061. The reversal of 112010101020 is 20101010211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112010100993 and 112010101011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44749089 + ... + 44751591.

It is an arithmetic number, because the mean of its divisors is an integer number (1840440000).

Almost surely, 2112010101020 is an apocalyptic number.

112010101020 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 112010101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176682240000).

112010101020 is an abundant number, since it is smaller than the sum of its proper divisors (241354378980).

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

112010101020 is a wasteful number, since it uses less digits than its factorization.

112010101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112010101020 its reverse (20101010211), we get a palindrome (132111111231).

It can be divided in two parts, 1 and 12010101020, that added together give a palindrome (12010101021).

The spelling of 112010101020 in words is "one hundred twelve billion, ten million, one hundred one thousand, twenty".