Search a number
-
+
213121213323014 = 229107463654711329
BaseRepresentation
bin110000011101010100100110…
…001101101101011100000110
31000221121012002210101101121202
4300131110212031231130012
5210413234221102314024
62033134311144142502
762614333225326413
oct6035244615553406
91027535083341552
10213121213323014
11619a8220953757
121baa039b167a32
1391bc32360c069
143a8b19c18d10a
151998b89e99bae
hexc1d52636d706

213121213323014 has 64 divisors (see below), whose sum is σ = 334597603507200. Its totient is φ = 101679900715008.

The previous prime is 213121213323013. The next prime is 213121213323037. The reversal of 213121213323014 is 410323312121312.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121213323013) 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 31 ways as a sum of consecutive naturals, for example, 18812000102 + ... + 18812011430.

It is an arithmetic number, because the mean of its divisors is an integer number (5228087554800).

Almost surely, 2213121213323014 is an apocalyptic number.

213121213323014 is a deficient number, since it is larger than the sum of its proper divisors (121476390184186).

213121213323014 is a wasteful number, since it uses less digits than its factorization.

213121213323014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18477.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 213121213323014 its reverse (410323312121312), we get a palindrome (623444525444326).

The spelling of 213121213323014 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred twenty-three thousand, fourteen".

Divisors: 1 2 29 58 107 214 463 926 3103 6206 6547 11329 13094 13427 22658 26854 49541 99082 189863 328541 379726 657082 700529 1212203 1401058 1436689 2424406 2873378 3031261 5245327 6062522 10490654 20315341 35153887 40630682 70307774 74170963 87906569 148341926 152114483 175813138 304228966 324344927 561249989 648689854 1122499978 2150957927 4301915854 7936293041 9406002883 15872586082 16276249681 18812005766 32552499362 34341155869 68682311738 230152498189 460304996378 995893520201 1991787040402 3674503677983 7349007355966 106560606661507 213121213323014