Search a number
-
+
102441414231 = 33131717167993
BaseRepresentation
bin101111101100111111…
…0111110111001010111
3100210102022121000222000
41133121332332321113
53134300000223411
6115021055010343
710254410440152
oct1373176767127
9323368530860
10102441414231
113a499564812
1217a2b5099b3
139877568850
144d5b3c0c99
1529e8741956
hex17d9fbee57

102441414231 has 32 divisors (see below), whose sum is σ = 173053379520. Its totient is φ = 59332580352.

The previous prime is 102441414223. The next prime is 102441414241. The reversal of 102441414231 is 132414144201.

102441414231 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 414 + 14 + 231 = 666.

It is not a de Polignac number, because 102441414231 - 23 = 102441414223 is a prime.

It is a super-2 number, since 2×1024414142312 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102441414195 and 102441414204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102441414241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8578030 + ... + 8589963.

It is an arithmetic number, because the mean of its divisors is an integer number (5407918110).

Almost surely, 2102441414231 is an apocalyptic number.

102441414231 is a deficient number, since it is larger than the sum of its proper divisors (70611965289).

102441414231 is a wasteful number, since it uses less digits than its factorization.

102441414231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17168032 (or 17168026 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102441414231 its reverse (132414144201), we get a palindrome (234855558432).

The spelling of 102441414231 in words is "one hundred two billion, four hundred forty-one million, four hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1989 5967 17167993 51503979 154511937 223183909 291855881 463535811 669551727 875567643 2008655181 2626702929 3794126453 6025965543 7880108787 11382379359 34147138077 102441414231