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1003002010023 = 31375134245007
BaseRepresentation
bin11101001100001111001…
…01000001100110100111
310112212220221020100001110
432212013211001212213
5112413122003310043
62044434530000103
7132315216262566
oct16460745014647
93485827210043
101003002010023
11357409539512
1214247b416033
1373776204c30
143678d013bdd
151b1550a5b33
hexe9879419a7

1003002010023 has 16 divisors (see below), whose sum is σ = 1442125776896. Its totient is φ = 616410108000.

The previous prime is 1003002010009. The next prime is 1003002010069. The reversal of 1003002010023 is 3200102003001.

It is a happy number.

1003002010023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1003002010023 - 24 = 1003002010007 is a prime.

It is a super-2 number, since 2×10030020100232 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003002009990 and 1003002010008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003002080023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17093215 + ... + 17151792.

It is an arithmetic number, because the mean of its divisors is an integer number (90132861056).

Almost surely, 21003002010023 is an apocalyptic number.

1003002010023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1003002010023 is a deficient number, since it is larger than the sum of its proper divisors (439123766873).

1003002010023 is a wasteful number, since it uses less digits than its factorization.

1003002010023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34245774.

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

Adding to 1003002010023 its reverse (3200102003001), we get a palindrome (4203104013024).

The spelling of 1003002010023 in words is "one trillion, three billion, two million, ten thousand, twenty-three".

Divisors: 1 3 13 39 751 2253 9763 29289 34245007 102735021 445185091 1335555273 25718000257 77154000771 334334003341 1003002010023