Search a number
-
+
10022020200 = 23325217327517
BaseRepresentation
bin10010101010101101…
…11110010001101000
3221212110012101011100
421111112332101220
5131011114121300
64334250401400
7503232523533
oct112526762150
927773171140
1010022020200
114283195125
121b38430260
13c3942a28a
146b1055a1a
153d9cac700
hex2555be468

10022020200 has 144 divisors (see below), whose sum is σ = 35637233580. Its totient is φ = 2515322880.

The previous prime is 10022020189. The next prime is 10022020243. The reversal of 10022020200 is 202022001.

10022020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3616579044 + 6405441156 = 60138^2 + 80034^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 133159 + ... + 194358.

Almost surely, 210022020200 is an apocalyptic number.

10022020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022020200 is an abundant number, since it is smaller than the sum of its proper divisors (25615213380).

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

10022020200 is a wasteful number, since it uses less digits than its factorization.

10022020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327556 (or 327544 counting only the distinct ones).

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

Adding to 10022020200 its reverse (202022001), we get a palindrome (10224042201).

It can be divided in two parts, 1002 and 2020200, that added together give a palindrome (2021202).

The spelling of 10022020200 in words is "ten billion, twenty-two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 408 425 450 510 600 612 680 765 850 900 1020 1224 1275 1530 1700 1800 2040 2550 3060 3400 3825 5100 6120 7650 10200 15300 30600 327517 655034 982551 1310068 1637585 1965102 2620136 2947653 3275170 3930204 4912755 5567789 5895306 6550340 7860408 8187925 9825510 11135578 11790612 13100680 14738265 16375850 16703367 19651020 22271156 23581224 24563775 27838945 29476530 32751700 33406734 39302040 44542312 49127550 50110101 55677890 58953060 65503400 66813468 73691325 83516835 98255100 100220202 111355780 117906120 133626936 139194725 147382650 167033670 196510200 200440404 222711560 250550505 278389450 294765300 334067340 400880808 417584175 501101010 556778900 589530600 668134680 835168350 1002202020 1113557800 1252752525 1670336700 2004404040 2505505050 3340673400 5011010100 10022020200