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101010122200 = 23521338850047
BaseRepresentation
bin101111000010010101…
…1000010010111011000
3100122201120100212102001
41132010223002113120
53123332042402300
6114223045250344
710204060605121
oct1360453022730
9318646325361
10101010122200
1139924642939
12176b01039b4
1396a9b81ca0
144c63285048
152962c6a16a
hex1784ac25d8

101010122200 has 48 divisors (see below), whose sum is σ = 252913812480. Its totient is φ = 37296044160.

The previous prime is 101010122183. The next prime is 101010122203. The reversal of 101010122200 is 2221010101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010122203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19422424 + ... + 19427623.

It is an arithmetic number, because the mean of its divisors is an integer number (5269037760).

Almost surely, 2101010122200 is an apocalyptic number.

101010122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010122200 is an abundant number, since it is smaller than the sum of its proper divisors (151903690280).

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

101010122200 is a wasteful number, since it uses less digits than its factorization.

101010122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38850076 (or 38850067 counting only the distinct ones).

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

Adding to 101010122200 its reverse (2221010101), we get a palindrome (103231132301).

It can be divided in two parts, 1010101 and 22200, that added together give a palindrome (1032301).

The spelling of 101010122200 in words is "one hundred one billion, ten million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 38850047 77700094 155400188 194250235 310800376 388500470 505050611 777000940 971251175 1010101222 1554001880 1942502350 2020202444 2525253055 3885004700 4040404888 5050506110 7770009400 10101012220 12626265275 20202024440 25252530550 50505061100 101010122200