Search a number
-
+
212020022210000 = 245482912557231
BaseRepresentation
bin110000001101010011000010…
…000110111110110111010000
31000210200220201220000211000012
4300031103002012332313100
5210242214001141210000
62030532353101014052
762441640541316234
oct6015230206766720
91023626656024005
10212020022210000
1161613206206944
121b942a98554328
13913c52cb316b4
143a4db7682a5c4
15197a1d9b66735
hexc0d4c21bedd0

212020022210000 has 100 divisors (see below), whose sum is σ = 513383789649984. Its totient is φ = 84797746800000.

The previous prime is 212020022209999. The next prime is 212020022210047. The reversal of 212020022210000 is 12220020212.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81631385 + ... + 84188615.

Almost surely, 2212020022210000 is an apocalyptic number.

212020022210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020022210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256691894824992).

212020022210000 is an abundant number, since it is smaller than the sum of its proper divisors (301363767439984).

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

212020022210000 is an equidigital number, since it uses as much as digits as its factorization.

212020022210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565550 (or 2565529 counting only the distinct ones).

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

Adding to 212020022210000 its reverse (12220020212), we get a palindrome (212032242230212).

The spelling of 212020022210000 in words is "two hundred twelve trillion, twenty billion, twenty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 8291 10000 16582 33164 41455 66328 82910 132656 165820 207275 331640 414550 663280 829100 1036375 1658200 2072750 2557231 3316400 4145500 5114462 5181875 8291000 10228924 10363750 12786155 16582000 20457848 20727500 25572310 40915696 41455000 51144620 63930775 82910000 102289240 127861550 204578480 255723100 319653875 511446200 639307750 1022892400 1278615500 1598269375 2557231000 3196538750 5114462000 6393077500 12786155000 21202002221 25572310000 42404004442 84808008884 106010011105 169616017768 212020022210 339232035536 424040044420 530050055525 848080088840 1060100111050 1696160177680 2120200222100 2650250277625 4240400444200 5300500555250 8480800888400 10601001110500 13251251388125 21202002221000 26502502776250 42404004442000 53005005552500 106010011105000 212020022210000