Search a number
-
+
202221011203020 = 2232510636710562017
BaseRepresentation
bin101101111110101100111111…
…100010011111001111001100
3222112000010202222001022001100
4231332230333202133033030
5203001142112331444040
61554031014451343100
760410662113124335
oct5576547742371714
9875003688038040
10202221011203020
11594854a3a2a127
121a81b9535b1a90
1388ab489b7a514
1437d1798ca328c
15185a374e02b30
hexb7eb3f89f3cc

202221011203020 has 72 divisors (see below), whose sum is σ = 613409558920704. Its totient is φ = 53925090905088.

The previous prime is 202221011202961. The next prime is 202221011203021. The reversal of 202221011203020 is 20302110122202.

202221011203020 is a `hidden beast` number, since 20 + 2 + 221 + 0 + 1 + 120 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202221011202984 and 202221011203002.

It is not an unprimeable number, because it can be changed into a prime (202221011203021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13865052 + ... + 24427068.

It is an arithmetic number, because the mean of its divisors is an integer number (8519577207232).

Almost surely, 2202221011203020 is an apocalyptic number.

202221011203020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221011203020 is an abundant number, since it is smaller than the sum of its proper divisors (411188547717684).

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

202221011203020 is a wasteful number, since it uses less digits than its factorization.

202221011203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10668399 (or 10668394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202221011203020 its reverse (20302110122202), we get a palindrome (222523121325222).

The spelling of 202221011203020 in words is "two hundred two trillion, two hundred twenty-one billion, eleven million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 106367 212734 319101 425468 531835 638202 957303 1063670 1276404 1595505 1914606 2127340 3191010 3829212 4786515 6382020 9573030 10562017 19146060 21124034 31686051 42248068 52810085 63372102 95058153 105620170 126744204 158430255 190116306 211240340 316860510 380232612 475290765 633721020 950581530 1901163060 1123450062239 2246900124478 3370350186717 4493800248956 5617250311195 6740700373434 10111050560151 11234500622390 13481400746868 16851750933585 20222101120302 22469001244780 33703501867170 40444202240604 50555252800755 67407003734340 101110505601510 202221011203020