Search a number
-
+
213323010003120 = 24351987614471933
BaseRepresentation
bin110000100000010000100010…
…001110111101000010110000
31000222022110222100102212212210
4300200100202032331002300
5210430041011030044440
62033411123215252120
762635036023653013
oct6040204216750260
91028273870385783
10213323010003120
1161a75864911246
121bb1351851a040
139205372c28154
143a96c62b2137a
15199e04b01da80
hexc204223bd0b0

213323010003120 has 80 divisors (see below), whose sum is σ = 661304806006752. Its totient is φ = 56885837076480.

The previous prime is 213323010003113. The next prime is 213323010003143. The reversal of 213323010003120 is 21300010323312.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45466674 + ... + 49938606.

Almost surely, 2213323010003120 is an apocalyptic number.

213323010003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213323010003120 is an abundant number, since it is smaller than the sum of its proper divisors (447981796003632).

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

213323010003120 is a wasteful number, since it uses less digits than its factorization.

213323010003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670710 (or 4670704 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213323010003120 its reverse (21300010323312), we get a palindrome (234623020326432).

The spelling of 213323010003120 in words is "two hundred thirteen trillion, three hundred twenty-three billion, ten million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 198761 397522 596283 795044 993805 1192566 1590088 1987610 2385132 2981415 3180176 3975220 4471933 4770264 5962830 7950440 8943866 9540528 11925660 13415799 15900880 17887732 22359665 23851320 26831598 35775464 44719330 47702640 53663196 67078995 71550928 89438660 107326392 134157990 178877320 214652784 268315980 357754640 536631960 1073263920 888845875013 1777691750026 2666537625039 3555383500052 4444229375065 5333075250078 7110767000104 8888458750130 10666150500156 13332688125195 14221534000208 17776917500260 21332301000312 26665376250390 35553835000520 42664602000624 53330752500780 71107670001040 106661505001560 213323010003120