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101112000010 = 2572949808867
BaseRepresentation
bin101111000101010111…
…1101010111000001010
3100122222200001210111021
41132022233222320022
53124034133000020
6114241125023054
710206435551020
oct1361257527012
9318880053437
10101112000010
11399770a717a
121771a254a8a
1396c5002408
144c72a04710
15296bb911aa
hex178abeae0a

101112000010 has 32 divisors (see below), whose sum is σ = 215174309760. Its totient is φ = 33471557952.

The previous prime is 101112000007. The next prime is 101112000013. The reversal of 101112000010 is 10000211101.

101112000010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101112000007) and next prime (101112000013).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101111999957 and 101112000002.

It is not an unprimeable number, because it can be changed into a prime (101112000013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24902404 + ... + 24906463.

It is an arithmetic number, because the mean of its divisors is an integer number (6724197180).

Almost surely, 2101112000010 is an apocalyptic number.

101112000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112000010 is an abundant number, since it is smaller than the sum of its proper divisors (114062309750).

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

101112000010 is a wasteful number, since it uses less digits than its factorization.

101112000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49808910.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101112000010 its reverse (10000211101), we get a palindrome (111112211111).

The spelling of 101112000010 in words is "one hundred one billion, one hundred twelve million, ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 1015 2030 49808867 99617734 249044335 348662069 498088670 697324138 1444457143 1743310345 2888914286 3486620690 7222285715 10111200001 14444571430 20222400002 50556000005 101112000010