Search a number
-
+
213010320322200 = 233521699208956563
BaseRepresentation
bin110000011011101101010100…
…011110011110111010011000
31000221012120212110122021102110
4300123231110132132322120
5210404430114000302300
62033011331254232320
762603326211351142
oct6033552436367230
91027176773567373
10213010320322200
1161965195721945
121ba829b13556a0
1391b1a300c950b
143a85a7c551c92
151995d497a9550
hexc1bb5479ee98

213010320322200 has 96 divisors (see below), whose sum is σ = 660720655368000. Its totient is φ = 56769318764160.

The previous prime is 213010320322193. The next prime is 213010320322201. The reversal of 213010320322200 is 2223023010312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213010320322201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103458882 + ... + 105497681.

It is an arithmetic number, because the mean of its divisors is an integer number (6882506826750).

Almost surely, 2213010320322200 is an apocalyptic number.

213010320322200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213010320322200 is an abundant number, since it is smaller than the sum of its proper divisors (447710335045800).

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

213010320322200 is a wasteful number, since it uses less digits than its factorization.

213010320322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208958281 (or 208958272 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213010320322200 its reverse (2223023010312), we get a palindrome (215233343332512).

The spelling of 213010320322200 in words is "two hundred thirteen trillion, ten billion, three hundred twenty million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1699 3398 5097 6796 8495 10194 13592 16990 20388 25485 33980 40776 42475 50970 67960 84950 101940 127425 169900 203880 254850 339800 509700 1019400 208956563 417913126 626869689 835826252 1044782815 1253739378 1671652504 2089565630 2507478756 3134348445 4179131260 5014957512 5223914075 6268696890 8358262520 10447828150 12537393780 15671742225 20895656300 25074787560 31343484450 41791312600 62686968900 125373937800 355017200537 710034401074 1065051601611 1420068802148 1775086002685 2130103203222 2840137604296 3550172005370 4260206406444 5325258008055 7100344010740 8520412812888 8875430013425 10650516016110 14200688021480 17750860026850 21301032032220 26626290040275 35501720053700 42602064064440 53252580080550 71003440107400 106505160161100 213010320322200