Search a number
-
+
213322014411132 = 223113577145178381
BaseRepresentation
bin110000100000001111100110…
…111001000100100101111100
31000222022101101222001120102110
4300200033212321010211330
5210430031441142124012
62033410440332254020
762635002244401324
oct6040174671044574
91028271358046373
10213322014411132
1161a753a3929250
121bb1329b011310
1392052448a2473
143a96baa800284
15199dedd90d73c
hexc203e6e4497c

213322014411132 has 48 divisors (see below), whose sum is σ = 543016683183744. Its totient is φ = 64641226104000.

The previous prime is 213322014411131. The next prime is 213322014411137. The reversal of 213322014411132 is 231114410223312.

It is a self number, because there is not a number n which added to its sum of digits gives 213322014411132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213322014411131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17867419 + ... + 27310962.

It is an arithmetic number, because the mean of its divisors is an integer number (11312847566328).

Almost surely, 2213322014411132 is an apocalyptic number.

213322014411132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213322014411132 is an abundant number, since it is smaller than the sum of its proper divisors (329694668772612).

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

213322014411132 is a wasteful number, since it uses less digits than its factorization.

213322014411132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45214170 (or 45214168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 213322014411132 its reverse (231114410223312), we get a palindrome (444436424634444).

The spelling of 213322014411132 in words is "two hundred thirteen trillion, three hundred twenty-two billion, fourteen million, four hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 35771 71542 107313 143084 214626 393481 429252 786962 1180443 1573924 2360886 4721772 45178381 90356762 135535143 180713524 271070286 496962191 542140572 993924382 1490886573 1987848764 2981773146 5963546292 1616075866751 3232151733502 4848227600253 6464303467004 9696455200506 17776834534261 19392910401012 35553669068522 53330503602783 71107338137044 106661007205566 213322014411132