Search a number
-
+
21214131230201 = 713310079136861
BaseRepresentation
bin1001101001011010011001…
…10000011001010111111001
32210010001101021120111012112
410310231030300121113321
510240033020043331301
6113041345400022105
74316445643136540
oct464551460312771
983101337514175
1021214131230201
116839954034578
122467535761935
13bab63a437000
14534aab45d157
1526bc654779bb
hex134b4cc195f9

21214131230201 has 32 divisors (see below), whose sum is σ = 26266992998400. Its totient is φ = 16783019173440.

The previous prime is 21214131230189. The next prime is 21214131230309. The reversal of 21214131230201 is 10203213141212.

It is not a de Polignac number, because 21214131230201 - 226 = 21214064121337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21214131233201) 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, 154936511 + ... + 155073371.

It is an arithmetic number, because the mean of its divisors is an integer number (820843531200).

Almost surely, 221214131230201 is an apocalyptic number.

It is an amenable number.

21214131230201 is a deficient number, since it is larger than the sum of its proper divisors (5052861768199).

21214131230201 is a wasteful number, since it uses less digits than its factorization.

21214131230201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146986 (or 146960 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 21214131230201 its reverse (10203213141212), we get a palindrome (31417344371413).

The spelling of 21214131230201 in words is "twenty-one trillion, two hundred fourteen billion, one hundred thirty-one million, two hundred thirty thousand, two hundred one".

Divisors: 1 7 13 91 169 1183 2197 10079 15379 70553 131027 136861 917189 958027 1703351 1779193 11923457 12454351 22143563 23129509 155004941 161906563 300683617 1379422019 2104785319 9655954133 17932486247 125527403729 233122321211 1631856248477 3030590175743 21214131230201