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101011020200 = 23522831784647
BaseRepresentation
bin101111000010010111…
…0011101100110101000
3100122201122001111020022
41132010232131212220
53123332310121300
6114223120420012
710204101335156
oct1360456354650
9318648044208
10101011020200
11399250a6592
12176b0477608
1396aa10794c
144c6343a3d6
152962d96285
hex1784b9d9a8

101011020200 has 48 divisors (see below), whose sum is σ = 235680614880. Its totient is φ = 40261613760.

The previous prime is 101011020191. The next prime is 101011020203. The reversal of 101011020200 is 2020110101.

101011020200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (101011020203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 835724 + ... + 948923.

It is an arithmetic number, because the mean of its divisors is an integer number (4910012810).

Almost surely, 2101011020200 is an apocalyptic number.

101011020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011020200 is an abundant number, since it is smaller than the sum of its proper divisors (134669594680).

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

101011020200 is a wasteful number, since it uses less digits than its factorization.

101011020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784946 (or 1784937 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101011020200 its reverse (2020110101), we get a palindrome (103031130301).

It can be divided in two parts, 10101 and 1020200, that added together give a palindrome (1030301).

The spelling of 101011020200 in words is "one hundred one billion, eleven million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 283 566 1132 1415 2264 2830 5660 7075 11320 14150 28300 56600 1784647 3569294 7138588 8923235 14277176 17846470 35692940 44616175 71385880 89232350 178464700 356929400 505055101 1010110202 2020220404 2525275505 4040440808 5050551010 10101102020 12626377525 20202204040 25252755050 50505510100 101011020200