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213322323030 = 235233779105769
BaseRepresentation
bin1100011010101100000…
…0000101010001010110
3202101121210120211000220
43012223000011101112
511443341003314110
6241555433415210
721261216553635
oct3065300052126
9671553524026
10213322323030
1182518987723
123541526a506
131716840655b
14a47959151c
155837d44370
hex31ab005456

213322323030 has 128 divisors (see below), whose sum is σ = 555622502400. Its totient is φ = 52271391744.

The previous prime is 213322323001. The next prime is 213322323047. The reversal of 213322323030 is 30323223312.

213322323030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1963986 + ... + 2069754.

It is an arithmetic number, because the mean of its divisors is an integer number (4340800800).

Almost surely, 2213322323030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213322323030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277811251200).

213322323030 is an abundant number, since it is smaller than the sum of its proper divisors (342300179370).

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

213322323030 is a wasteful number, since it uses less digits than its factorization.

213322323030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105918.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 213322323030 its reverse (30323223312), we get a palindrome (243645546342).

The spelling of 213322323030 in words is "two hundred thirteen billion, three hundred twenty-two million, three hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 79 111 115 138 158 185 222 230 237 345 370 395 474 555 690 790 851 1110 1185 1702 1817 2370 2553 2923 3634 4255 5106 5451 5846 8510 8769 9085 10902 12765 14615 17538 18170 25530 27255 29230 43845 54510 67229 87690 105769 134458 201687 211538 317307 336145 403374 528845 634614 672290 1008435 1057690 1586535 2016870 2432687 3173070 3913453 4865374 7298061 7826906 8355751 11740359 12163435 14596122 16711502 19567265 23480718 24326870 25067253 36490305 39134530 41778755 50134506 58701795 72980610 83557510 90009419 117403590 125336265 180018838 192182273 250672530 270028257 309162787 384364546 450047095 540056514 576546819 618325574 900094190 927488361 960911365 1153093638 1350141285 1545813935 1854976722 1921822730 2700282570 2882734095 3091627870 4637441805 5765468190 7110744101 9274883610 14221488202 21332232303 35553720505 42664464606 71107441010 106661161515 213322323030