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102003000020 = 22535314448017
BaseRepresentation
bin101111011111111011…
…0100100001011010100
3100202021202122021201122
41132333312210023110
53132400232000040
6114505354143112
710240505123465
oct1367766441324
9322252567648
10102003000020
113a294041719
1217928721a98
13980779745c
144d1909ad6c
1529beee11b5
hex17bfda42d4

102003000020 has 24 divisors (see below), whose sum is σ = 214813131624. Its totient is φ = 40685613056.

The previous prime is 102002999963. The next prime is 102003000037. The reversal of 102003000020 is 20000300201.

It can be written as a sum of positive squares in 4 ways, for example, as 20242460176 + 81760539844 = 142276^2 + 285938^2 .

It is a super-2 number, since 2×1020030000202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102002999971 and 102003000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7216949 + ... + 7231068.

It is an arithmetic number, because the mean of its divisors is an integer number (8950547151).

Almost surely, 2102003000020 is an apocalyptic number.

102003000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003000020 is an abundant number, since it is smaller than the sum of its proper divisors (112810131604).

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

102003000020 is a wasteful number, since it uses less digits than its factorization.

102003000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14448379 (or 14448377 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 102003000020 its reverse (20000300201), we get a palindrome (122003300221).

The spelling of 102003000020 in words is "one hundred two billion, three million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 353 706 1412 1765 3530 7060 14448017 28896034 57792068 72240085 144480170 288960340 5100150001 10200300002 20400600004 25500750005 51001500010 102003000020