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101001012220 = 22531316134347
BaseRepresentation
bin101111000010000100…
…0010010001111111100
3100122200221020000212101
41132010020102033330
53123322224342340
6114222122114444
710203620303323
oct1360410221774
9318627200771
10101001012220
113991a490429
12176a904ba24
1396a8012574
144c61d930ba
15296206ac9a
hex17842123fc

101001012220 has 24 divisors (see below), whose sum is σ = 212779781424. Its totient is φ = 40271327616.

The previous prime is 101001012199. The next prime is 101001012241. The reversal of 101001012220 is 22210100101.

It is an interprime number because it is at equal distance from previous prime (101001012199) and next prime (101001012241).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101001012197 and 101001012206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8060914 + ... + 8073433.

It is an arithmetic number, because the mean of its divisors is an integer number (8865824226).

Almost surely, 2101001012220 is an apocalyptic number.

101001012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001012220 is an abundant number, since it is smaller than the sum of its proper divisors (111778769204).

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

101001012220 is a wasteful number, since it uses less digits than its factorization.

101001012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16134669 (or 16134667 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101001012220 its reverse (22210100101), we get a palindrome (123211112321).

The spelling of 101001012220 in words is "one hundred one billion, one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 313 626 1252 1565 3130 6260 16134347 32268694 64537388 80671735 161343470 322686940 5050050611 10100101222 20200202444 25250253055 50500506110 101001012220