Search a number
-
+
21232110100133 = 172665291104293
BaseRepresentation
bin1001101001111011111000…
…11000010101111010100101
32210011202210020222201020002
410310331330120111322211
510240331330141201013
6113053521405351045
74320653324045132
oct464757430257245
983152706881202
1021232110100133
11684653a6a4669
12246ab12868485
13bb024417999a
145358d5149589
1526c468a5a358
hex134f7c615ea5

21232110100133 has 12 divisors (see below), whose sum is σ = 22554884704740. Its totient is φ = 19982843983872.

The previous prime is 21232110100093. The next prime is 21232110100231. The reversal of 21232110100133 is 33100101123212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1127584886884 + 20104525213249 = 1061878^2 + 4483807^2 .

It is a de Polignac number, because none of the positive numbers 2k-21232110100133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21232110150133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18674735 + ... + 19779027.

It is an arithmetic number, because the mean of its divisors is an integer number (1879573725395).

Almost surely, 221232110100133 is an apocalyptic number.

It is an amenable number.

21232110100133 is a deficient number, since it is larger than the sum of its proper divisors (1322774604607).

21232110100133 is a wasteful number, since it uses less digits than its factorization.

21232110100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170856 (or 1170839 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 21232110100133 its reverse (33100101123212), we get a palindrome (54332211223345).

The spelling of 21232110100133 in words is "twenty-one trillion, two hundred thirty-two billion, one hundred ten million, one hundred thousand, one hundred thirty-three".

Divisors: 1 17 289 66529 1104293 1130993 18772981 19226881 319140677 73467508997 1248947652949 21232110100133