Search a number
-
+
202022120201020 = 22575311727166729
BaseRepresentation
bin101101111011110011110000…
…101101100001101100111100
3222111022010101220112112210221
4231323303300231201230330
5202434412300232413040
61553355403015111124
760360421316400550
oct5573636055415474
9874263356475727
10202022120201020
11594091111695a9
121a7a92a73724a4
1388957b153c7a2
1437c5ccc1c3860
1518550d3ee074a
hexb7bcf0b61b3c

202022120201020 has 48 divisors (see below), whose sum is σ = 484862234351040. Its totient is φ = 69263420373504.

The previous prime is 202022120201003. The next prime is 202022120201071. The reversal of 202022120201020 is 20102021220202.

It is a junction number, because it is equal to n+sod(n) for n = 202022120200985 and 202022120201003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6146985 + ... + 21019744.

It is an arithmetic number, because the mean of its divisors is an integer number (10101296548980).

Almost surely, 2202022120201020 is an apocalyptic number.

202022120201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202022120201020 is an abundant number, since it is smaller than the sum of its proper divisors (282840114150020).

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

202022120201020 is a wasteful number, since it uses less digits than its factorization.

202022120201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27219862 (or 27219860 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202022120201020 its reverse (20102021220202), we get a palindrome (222124141421222).

The spelling of 202022120201020 in words is "two hundred two trillion, twenty-two billion, one hundred twenty million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 53117 106234 212468 265585 371819 531170 743638 1062340 1487276 1859095 3718190 7436380 27166729 54333458 108666916 135833645 190167103 271667290 380334206 543334580 760668412 950835515 1901671030 3803342060 1443015144293 2886030288586 5772060577172 7215075721465 10101106010051 14430151442930 20202212020102 28860302885860 40404424040204 50505530050255 101011060100510 202022120201020