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102003001320 = 23351177275001
BaseRepresentation
bin101111011111111011…
…0100100011111101000
3100202021202122100111210
41132333312210133220
53132400232020240
6114505354153120
710240505130333
oct1367766443750
9322252570453
10102003001320
113a2940426a0
12179287227a0
139807797c1c
144d1909b61a
1529beee1780
hex17bfda47e8

102003001320 has 64 divisors (see below), whose sum is σ = 333828008640. Its totient is φ = 24728000000.

The previous prime is 102003001319. The next prime is 102003001351. The reversal of 102003001320 is 23100300201.

It is a happy number.

102003001320 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 2×1020030013202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102003001296 and 102003001305.

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, 38636181 + ... + 38638820.

It is an arithmetic number, because the mean of its divisors is an integer number (5216062635).

Almost surely, 2102003001320 is an apocalyptic number.

102003001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003001320 is an abundant number, since it is smaller than the sum of its proper divisors (231825007320).

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

102003001320 is a wasteful number, since it uses less digits than its factorization.

102003001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77275026 (or 77275022 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102003001320 its reverse (23100300201), we get a palindrome (125103301521).

The spelling of 102003001320 in words is "one hundred two billion, three million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 77275001 154550002 231825003 309100004 386375005 463650006 618200008 772750010 850025011 927300012 1159125015 1545500020 1700050022 1854600024 2318250030 2550075033 3091000040 3400100044 4250125055 4636500060 5100150066 6800200088 8500250110 9273000120 10200300132 12750375165 17000500220 20400600264 25500750330 34001000440 51001500660 102003001320