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102001087720 = 235719929199
BaseRepresentation
bin101111011111110111…
…1010001010011101000
3100202021122001010112201
41132333233101103220
53132344234301340
6114505245145544
710240452640330
oct1367757212350
9322248033481
10102001087720
113a292a55a04
1217927b5b2b4
139807277c0c
144d18b200c0
1529bec6479a
hex17bfbd14e8

102001087720 has 96 divisors (see below), whose sum is σ = 263641824000. Its totient is φ = 34792281216.

The previous prime is 102001087697. The next prime is 102001087751. The reversal of 102001087720 is 27780100201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11083681 + ... + 11092879.

It is an arithmetic number, because the mean of its divisors is an integer number (2746269000).

Almost surely, 2102001087720 is an apocalyptic number.

102001087720 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 102001087720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131820912000).

102001087720 is an abundant number, since it is smaller than the sum of its proper divisors (161640736280).

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

102001087720 is an equidigital number, since it uses as much as digits as its factorization.

102001087720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9615 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

Adding to 102001087720 its reverse (27780100201), we get a palindrome (129781187921).

The spelling of 102001087720 in words is "one hundred two billion, one million, eighty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 199 280 398 796 995 1393 1592 1990 2786 3980 5572 6965 7960 9199 11144 13930 18398 27860 36796 39601 45995 55720 64393 73592 79202 91990 128786 158404 183980 198005 257572 277207 316808 321965 367960 396010 515144 554414 643930 792020 1108828 1287860 1386035 1584040 1830601 2217656 2575720 2772070 3661202 5544140 7322404 9153005 11088280 12814207 14644808 18306010 25628414 36612020 51256828 64071035 73224040 102513656 128142070 256284140 364289599 512568280 728579198 1457158396 1821447995 2550027193 2914316792 3642895990 5100054386 7285791980 10200108772 12750135965 14571583960 20400217544 25500271930 51000543860 102001087720