Search a number
-
+
102005120076 = 22373145180251
BaseRepresentation
bin101111011111111111…
…0101001110001001100
3100202021220121222220020
41132333332221301030
53132401302320301
6114505511422140
710240532133426
oct1367776516114
9322256558806
10102005120076
113a29525a532
1217929384950
13980805a422
144d1948d816
1529c02ae436
hex17bffa9c4c

102005120076 has 48 divisors (see below), whose sum is σ = 241441673088. Its totient is φ = 33512400000.

The previous prime is 102005120059. The next prime is 102005120081. The reversal of 102005120076 is 670021500201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230951 + ... + 1311201.

It is an arithmetic number, because the mean of its divisors is an integer number (5030034856).

Almost surely, 2102005120076 is an apocalyptic number.

It is an amenable number.

102005120076 is an abundant number, since it is smaller than the sum of its proper divisors (139436553012).

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

102005120076 is a wasteful number, since it uses less digits than its factorization.

102005120076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81782 (or 81780 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 102005120076 its reverse (670021500201), we get a palindrome (772026620277).

The spelling of 102005120076 in words is "one hundred two billion, five million, one hundred twenty thousand, seventy-six".

Divisors: 1 2 3 4 6 12 73 146 219 292 438 876 1451 2902 4353 5804 8706 17412 80251 105923 160502 211846 240753 317769 321004 423692 481506 635538 963012 1271076 5858323 11716646 17574969 23433292 35149938 70299876 116444201 232888402 349332603 465776804 698665206 1397330412 8500426673 17000853346 25501280019 34001706692 51002560038 102005120076