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101020220200 = 23521015001001
BaseRepresentation
bin101111000010101000…
…1100011101100101000
3100122202021100220021001
41132011101203230220
53123342134021300
6114224045524344
710204242463264
oct1360521435450
9318667326231
10101020220200
113992a30a699
12176b35736b4
1396abca9333
144c647530a4
152963ab216a
hex1785463b28

101020220200 has 48 divisors (see below), whose sum is σ = 237197524860. Its totient is φ = 40008000000.

The previous prime is 101020220183. The next prime is 101020220207. The reversal of 101020220200 is 2022020101.

It can be written as a sum of positive squares in 6 ways, for example, as 93541775716 + 7478444484 = 305846^2 + 86478^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101020220207) 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, 2480301 + ... + 2520700.

Almost surely, 2101020220200 is an apocalyptic number.

101020220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020220200 is an abundant number, since it is smaller than the sum of its proper divisors (136177304660).

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

101020220200 is a wasteful number, since it uses less digits than its factorization.

101020220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001118 (or 5001109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 101020220200 its reverse (2022020101), we get a palindrome (103042240301).

The spelling of 101020220200 in words is "one hundred one billion, twenty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 5001001 10002002 20004004 25005005 40008008 50010010 100020020 125025025 200040040 250050050 500100100 505101101 1000200200 1010202202 2020404404 2525505505 4040808808 5051011010 10102022020 12627527525 20204044040 25255055050 50510110100 101020220200