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213222132310330 = 251121327748935473
BaseRepresentation
bin110000011110110010100101…
…011101000110000100111010
31000221221211121000021010110201
4300132302211131012010322
5210421412411332412310
62033252521220232414
762624535131504263
oct6036624535060472
91027854530233421
10213222132310330
1161a36aa8aaa600
121bab7a6483b70a
1391c89b7632680
143a920132ad96a
15199b5e4c11e3a
hexc1eca574613a

213222132310330 has 96 divisors (see below), whose sum is σ = 455953734350352. Its totient is φ = 71312684636160.

The previous prime is 213222132310321. The next prime is 213222132310331. The reversal of 213222132310330 is 33013231222312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12693394202841 + 200528738107489 = 3562779^2 + 14160817^2 .

It is not an unprimeable number, because it can be changed into a prime (213222132310331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20110527 + ... + 28824946.

Almost surely, 2213222132310330 is an apocalyptic number.

213222132310330 is an abundant number, since it is smaller than the sum of its proper divisors (242731602040022).

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

213222132310330 is a wasteful number, since it uses less digits than its factorization.

213222132310330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48935792 (or 48935781 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 213222132310330 its reverse (33013231222312), we get a palindrome (246235363532642).

The spelling of 213222132310330 in words is "two hundred thirteen trillion, two hundred twenty-two billion, one hundred thirty-two million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 121 130 143 242 277 286 554 605 715 1210 1385 1430 1573 2770 3047 3146 3601 6094 7202 7865 15235 15730 18005 30470 33517 36010 39611 67034 79222 167585 198055 335170 396110 435721 871442 2178605 4357210 48935473 97870946 244677365 489354730 538290203 636161149 1076580406 1272322298 2691451015 3180805745 5382902030 5921192233 6361611490 6997772639 11842384466 13555126021 13995545278 27110252042 29605961165 34988863195 59211922330 67775630105 69977726390 76975499029 135551260210 149106386231 153950998058 176216638273 298212772462 352433276546 384877495145 745531931155 769754990290 881083191365 1491063862310 1640170248541 1762166382730 1938383021003 3280340497082 3876766042006 8200851242705 9691915105015 16401702485410 19383830210030 21322213231033 42644426462066 106611066155165 213222132310330