Search a number
-
+
116402101035 = 35112314150459
BaseRepresentation
bin110110001101000011…
…0110001101100101011
3102010110021002101222020
41230122012301230223
53401342414213120
6125250244555523
711260360351023
oct1543206615453
9363407071866
10116402101035
1145402a51400
121a6869b2ba3
13ac9099167c
1458c3582a83
1530641ab640
hex1b1a1b1b2b

116402101035 has 96 divisors (see below), whose sum is σ = 216475822080. Its totient is φ = 53283648000.

The previous prime is 116402101007. The next prime is 116402101073. The reversal of 116402101035 is 530101204611.

It is a happy number.

It is not a de Polignac number, because 116402101035 - 28 = 116402100779 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116402100996 and 116402101014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2281636 + ... + 2332094.

It is an arithmetic number, because the mean of its divisors is an integer number (2254956480).

Almost surely, 2116402101035 is an apocalyptic number.

116402101035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116402101035 is a deficient number, since it is larger than the sum of its proper divisors (100073721045).

116402101035 is a wasteful number, since it uses less digits than its factorization.

116402101035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50561 (or 50550 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 116402101035 its reverse (530101204611), we get a palindrome (646503305646).

The spelling of 116402101035 in words is "one hundred sixteen billion, four hundred two million, one hundred one thousand, thirty-five".

Divisors: 1 3 5 11 15 31 33 41 55 93 121 123 155 165 205 341 363 451 465 605 615 1023 1271 1353 1705 1815 2255 3751 3813 4961 5115 6355 6765 11253 13981 14883 18755 19065 24805 41943 50459 56265 69905 74415 151377 153791 209715 252295 461373 555049 756885 768955 1564229 1665147 2068819 2306865 2775245 4692687 6105539 6206457 7821145 8325735 10344095 17206519 18316617 22757009 23463435 30527695 31032285 51619557 64133389 68271027 86032595 91583085 113785045 189271709 192400167 250327099 258097785 320666945 341355135 567815127 705467279 750981297 946358545 962000835 1251635495 2116401837 2839075635 3527336395 3754906485 7760140069 10582009185 23280420207 38800700345 116402101035