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213133213220330 = 251317743881147331
BaseRepresentation
bin110000011101011111110001…
…011101101011110111101010
31000221122100002002022100010002
4300131133301131223313222
5210413433310041022310
62033144014011423002
762615236465634654
oct6035376135536752
91027570062270102
10213133213220330
1161a02319545167
121baa2789a54a62
1391c04b6738c10
143a8b9b9b816d4
15199913d6e9da5
hexc1d7f176bdea

213133213220330 has 128 divisors (see below), whose sum is σ = 438542462486016. Its totient is φ = 73882058342400.

The previous prime is 213133213220173. The next prime is 213133213220351. The reversal of 213133213220330 is 33022312331312.

It is a junction number, because it is equal to n+sod(n) for n = 213133213220293 and 213133213220302.

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, 1446554765 + ... + 1446702095.

It is an arithmetic number, because the mean of its divisors is an integer number (3426112988172).

Almost surely, 2213133213220330 is an apocalyptic number.

213133213220330 is an abundant number, since it is smaller than the sum of its proper divisors (225409249265686).

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

213133213220330 is a wasteful number, since it uses less digits than its factorization.

213133213220330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148992.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 213133213220330 its reverse (33022312331312), we get a palindrome (246155525551642).

The spelling of 213133213220330 in words is "two hundred thirteen trillion, one hundred thirty-three billion, two hundred thirteen million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 743 881 1105 1486 1762 2210 3715 4405 7430 8810 9659 11453 12631 14977 19318 22906 25262 29954 48295 57265 63155 74885 96590 114530 126310 147331 149770 164203 194701 294662 328406 389402 654583 736655 821015 973505 1309166 1473310 1642030 1915303 1947010 2504627 3272915 3830606 5009254 6545830 8509579 9576515 11127911 12523135 17019158 19153030 22255822 25046270 32560151 42547895 55639555 65120302 85095790 109466933 111279110 129798611 144662843 162800755 218933866 259597222 289325686 325601510 547334665 648993055 723314215 1094669330 1297986110 1423070129 1446628430 1687381943 1860937861 2206576387 2846140258 3374763886 3721875722 4413152774 7115350645 8436909715 9304689305 11032881935 14230701290 16873819430 18609378610 22065763870 24192192193 28685493031 48384384386 57370986062 96440367973 120960960965 143427465155 192880735946 241921921930 286854930310 482201839865 964403679730 1253724783649 1639486255541 2507449567298 3278972511082 6268623918245 8197431277705 12537247836490 16394862555410 21313321322033 42626642644066 106566606610165 213133213220330