Search a number
-
+
102342250305 = 3353749141729
BaseRepresentation
bin101111101010000010…
…0101100111101000001
3100210011101222222122000
41133110010230331001
53134044104002210
6115003153334213
710252064526411
oct1372404547501
9323141888560
10102342250305
113a448594459
1217a02267369
13985cb58779
144d4c16a641
1529deba4ac0
hex17d412cf41

102342250305 has 64 divisors (see below), whose sum is σ = 187244179200. Its totient is φ = 52997898240.

The previous prime is 102342250261. The next prime is 102342250321. The reversal of 102342250305 is 503052243201.

It is a happy number.

102342250305 is a `hidden beast` number, since 10 + 2 + 342 + 2 + 5 + 0 + 305 = 666.

It is not a de Polignac number, because 102342250305 - 223 = 102333861697 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2431681 + ... + 2473409.

It is an arithmetic number, because the mean of its divisors is an integer number (2925690300).

Almost surely, 2102342250305 is an apocalyptic number.

102342250305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102342250305 is a deficient number, since it is larger than the sum of its proper divisors (84901928895).

102342250305 is a wasteful number, since it uses less digits than its factorization.

102342250305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42271 (or 42265 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 102342250305 its reverse (503052243201), we get a palindrome (605394493506).

The spelling of 102342250305 in words is "one hundred two billion, three hundred forty-two million, two hundred fifty thousand, three hundred five".

Divisors: 1 3 5 9 15 27 37 45 111 135 185 333 491 555 999 1473 1665 2455 4419 4995 7365 13257 18167 22095 41729 54501 66285 90835 125187 163503 208645 272505 375561 490509 625935 817515 1126683 1543973 1877805 2452545 4631919 5633415 7719865 13895757 20488939 23159595 41687271 61466817 69478785 102444695 184400451 208436355 307334085 553201353 758090743 922002255 2274272229 2766006765 3790453715 6822816687 11371361145 20468450061 34114083435 102342250305