Search a number
-
+
212200002021020 = 2251317101475337131
BaseRepresentation
bin110000001111111010101001…
…101111011110011010011100
31000211100010021222210112011212
4300033322221233132122130
5210303141101004133040
62031151200221003552
762460641603422316
oct6017725157363234
91024303258715155
10212200002021020
1161682574109812
121b9719473b35b8
1391534b35277b0
143a5876ba8c7b6
15197ec206d2d65
hexc0fea9bde69c

212200002021020 has 96 divisors (see below), whose sum is σ = 513158756918976. Its totient is φ = 73011783168000.

The previous prime is 212200002020983. The next prime is 212200002021053. The reversal of 212200002021020 is 20120200002212.

It is a junction number, because it is equal to n+sod(n) for n = 212200002020986 and 212200002021004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237222146 + ... + 238114985.

It is an arithmetic number, because the mean of its divisors is an integer number (5345403717906).

Almost surely, 2212200002021020 is an apocalyptic number.

212200002021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200002021020 is an abundant number, since it is smaller than the sum of its proper divisors (300958754897956).

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

212200002021020 is a wasteful number, since it uses less digits than its factorization.

212200002021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475337271 (or 475337269 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212200002021020 its reverse (20120200002212), we get a palindrome (232320202023232).

The spelling of 212200002021020 in words is "two hundred twelve trillion, two hundred billion, two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 101 130 170 202 221 260 340 404 442 505 884 1010 1105 1313 1717 2020 2210 2626 3434 4420 5252 6565 6868 8585 13130 17170 22321 26260 34340 44642 89284 111605 223210 446420 475337131 950674262 1901348524 2376685655 4753371310 6179382703 8080731227 9506742620 12358765406 16161462454 24717530812 30896913515 32322924908 40403656135 48009050231 61793827030 80807312270 96018100462 105049505951 123587654060 161614624540 192036200924 210099011902 240045251155 420198023804 480090502310 525247529755 624117653003 816153853927 960181004620 1050495059510 1248235306006 1632307707854 2100990119020 2496470612012 3120588265015 3264615415708 4080769269635 6241176530030 8161538539270 10610000101051 12482353060060 16323077078540 21220000202102 42440000404204 53050000505255 106100001010510 212200002021020