Search a number
-
+
132013330232103 = 33293534357109621
BaseRepresentation
bin11110000001000010111111…
…101001110111001100100111
3122022102100110222001002111000
4132001002333221313030213
5114300401300014411403
61144434030420044343
736543435250260135
oct3601027751671447
9568370428032430
10132013330232103
11390775a2376761
12129810992336b3
135887a5a742858
14248569d1ba755
15103de829a97a3
hex7810bfa77327

132013330232103 has 64 divisors (see below), whose sum is σ = 202940840764800. Its totient is φ = 84713157365760.

The previous prime is 132013330232041. The next prime is 132013330232159. The reversal of 132013330232103 is 301232033310231.

132013330232103 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 3 + 330 + 2 + 321 + 0 + 3 = 666.

It is not a de Polignac number, because 132013330232103 - 26 = 132013330232039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013330232603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1204215633 + ... + 1204325253.

It is an arithmetic number, because the mean of its divisors is an integer number (3170950636950).

Almost surely, 2132013330232103 is an apocalyptic number.

132013330232103 is a deficient number, since it is larger than the sum of its proper divisors (70927510532697).

132013330232103 is a wasteful number, since it uses less digits than its factorization.

132013330232103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114369 (or 114363 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132013330232103 its reverse (301232033310231), we get a palindrome (433245363542334).

The spelling of 132013330232103 in words is "one hundred thirty-two trillion, thirteen billion, three hundred thirty million, two hundred thirty-two thousand, one hundred three".

Divisors: 1 3 9 27 29 87 261 353 783 1059 3177 4357 9531 10237 13071 30711 39213 92133 109621 117639 126353 276399 328863 379059 986589 1137177 1538021 2959767 3179009 3411531 4614063 9537027 13842189 28611081 38696213 41526567 44602609 85833243 116088639 133807827 348265917 401423481 477618697 1044797751 1122190177 1204270443 1432856091 3366570531 4298568273 10099711593 12895704819 13850942213 30299134779 41552826639 124658479917 168599400041 373975439751 505798200123 1517394600369 4552183801107 4889382601189 14668147803567 44004443410701 132013330232103