Search a number
-
+
102015215500 = 22531147394643
BaseRepresentation
bin101111100000010010…
…1001010011110001100
3100202022121121220012211
41133000211022132030
53132411343344000
6114510512040204
710241014011232
oct1370045123614
9322277556184
10102015215500
113a29aa25360
1217930833064
13980a183553
144d1a95a952
1529c11057ba
hex17c094a78c

102015215500 has 96 divisors (see below), whose sum is σ = 248227918848. Its totient is φ = 36307064000.

The previous prime is 102015215461. The next prime is 102015215513. The reversal of 102015215500 is 5512510201.

It is a happy number.

It is a super-2 number, since 2×1020152155002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61179 + ... + 455821.

It is an arithmetic number, because the mean of its divisors is an integer number (2585707488).

Almost surely, 2102015215500 is an apocalyptic number.

102015215500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102015215500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124113959424).

102015215500 is an abundant number, since it is smaller than the sum of its proper divisors (146212703348).

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

102015215500 is a wasteful number, since it uses less digits than its factorization.

102015215500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394720 (or 394708 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

Adding to 102015215500 its reverse (5512510201), we get a palindrome (107527725701).

The spelling of 102015215500 in words is "one hundred two billion, fifteen million, two hundred fifteen thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 125 188 220 235 250 275 470 500 517 550 940 1034 1100 1175 1375 2068 2350 2585 2750 4700 5170 5500 5875 10340 11750 12925 23500 25850 51700 64625 129250 258500 394643 789286 1578572 1973215 3946430 4341073 7892860 8682146 9866075 17364292 18548221 19732150 21705365 37096442 39464300 43410730 49330375 74192884 86821460 92741105 98660750 108526825 185482210 197321500 204030431 217053650 370964420 408060862 434107300 463705525 542634125 816121724 927411050 1020152155 1085268250 1854822100 2040304310 2170536500 2318527625 4080608620 4637055250 5100760775 9274110500 10201521550 20403043100 25503803875 51007607750 102015215500