Search a number
-
+
100022020200 = 23325255567789
BaseRepresentation
bin101110100100111000…
…1101110100001101000
3100120011201002002021200
41131021301232201220
53114321114121300
6113541031004200
710140432100224
oct1351161564150
9316151062250
10100022020200
1139467906213
1217475209660
13958024c54b
144babd53784
152906139200
hex1749c6e868

100022020200 has 72 divisors (see below), whose sum is σ = 335907290550. Its totient is φ = 26672538240.

The previous prime is 100022020193. The next prime is 100022020271. The reversal of 100022020200 is 2020220001.

It can be written as a sum of positive squares in 3 ways, for example, as 79013836836 + 21008183364 = 281094^2 + 144942^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27782095 + ... + 27785694.

Almost surely, 2100022020200 is an apocalyptic number.

100022020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022020200 is an abundant number, since it is smaller than the sum of its proper divisors (235885270350).

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

100022020200 is a wasteful number, since it uses less digits than its factorization.

100022020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55567811 (or 55567799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100022020200 its reverse (2020220001), we get a palindrome (102042240201).

The spelling of 100022020200 in words is "one hundred billion, twenty-two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 55567789 111135578 166703367 222271156 277838945 333406734 444542312 500110101 555677890 666813468 833516835 1000220202 1111355780 1333626936 1389194725 1667033670 2000440404 2222711560 2500550505 2778389450 3334067340 4000880808 4167584175 5001101010 5556778900 6668134680 8335168350 10002202020 11113557800 12502752525 16670336700 20004404040 25005505050 33340673400 50011010100 100022020200