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102111024300 = 22352536422077
BaseRepresentation
bin101111100011001001…
…0101001010010101100
3100202120021220111011220
41133012102221102230
53133110410234200
6114524213343340
710243256246205
oct1370622512254
9322507814156
10102111024300
113a33a01398a
1217958937b50
139823c8a44c
144d2957a5ac
1529c972d4a0
hex17c64a94ac

102111024300 has 72 divisors (see below), whose sum is σ = 301015640016. Its totient is φ = 26715836160.

The previous prime is 102111024289. The next prime is 102111024307. The reversal of 102111024300 is 3420111201.

102111024300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1021110243002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102111024300.

It is not an unprimeable number, because it can be changed into a prime (102111024307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3195139 + ... + 3226938.

It is an arithmetic number, because the mean of its divisors is an integer number (4180772778).

Almost surely, 2102111024300 is an apocalyptic number.

102111024300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111024300 is an abundant number, since it is smaller than the sum of its proper divisors (198904615716).

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

102111024300 is a wasteful number, since it uses less digits than its factorization.

102111024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422147 (or 6422140 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102111024300 its reverse (3420111201), we get a palindrome (105531135501).

The spelling of 102111024300 in words is "one hundred two billion, one hundred eleven million, twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 6422077 12844154 19266231 25688308 32110385 38532462 64220770 77064924 96331155 128441540 160551925 192662310 321103850 340370081 385324620 481655775 642207700 680740162 963311550 1021110243 1361480324 1701850405 1926623100 2042220486 3403700810 4084440972 5105551215 6807401620 8509252025 10211102430 17018504050 20422204860 25527756075 34037008100 51055512150 102111024300