Search a number
-
+
102111114340242 = 23272231734995997
BaseRepresentation
bin10111001101111010011000…
…101100101010011110010010
3111101112201122010101201001200
4113031322120230222132102
5101340442030232341432
61001101110501412030
730336166414021200
oct2715723054523622
9441481563351050
10102111114340242
112a599098017417
12b55199970a016
1344c9062a09127
141b302c0878070
15bc122760ea7c
hex5cde98b2a792

102111114340242 has 72 divisors (see below), whose sum is σ = 257372843760396. Its totient is φ = 29173339266624.

The previous prime is 102111114340223. The next prime is 102111114340303. The reversal of 102111114340242 is 242043411111201.

102111114340242 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 111 + 143 + 402 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102056081402961 + 55032937281 = 10102281^2 + 234591^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17940588 + ... + 22936584.

Almost surely, 2102111114340242 is an apocalyptic number.

102111114340242 is an abundant number, since it is smaller than the sum of its proper divisors (155261729420154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102111114340242 is a wasteful number, since it uses less digits than its factorization.

102111114340242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019192 (or 5019182 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 102111114340242 its reverse (242043411111201), we get a palindrome (344154525451443).

The spelling of 102111114340242 in words is "one hundred two trillion, one hundred eleven billion, one hundred fourteen million, three hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 23173 46346 69519 139038 162211 208557 324422 417114 486633 973266 1135477 1459899 2270954 2919798 3406431 4995997 6812862 9991994 10219293 14987991 20438586 29975982 34971979 44963973 69943958 89927946 104915937 209831874 244803853 314747811 489607706 629495622 734411559 1468823118 2203234677 4406469354 115772238481 231544476962 347316715443 694633430886 810405669367 1041950146329 1620811338734 2083900292658 2431217008101 4862434016202 5672839685569 7293651024303 11345679371138 14587302048606 17018519056707 34037038113414 51055557170121 102111114340242