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1003131301223 = 23314134315031
BaseRepresentation
bin11101001100011110100…
…10001110110101100111
310112220020221112000020102
432212033102032311213
5112413403103114343
62044455425054315
7132321346242062
oct16461722166547
93486227460212
101003131301223
11357475516947
121424b678739b
1373796c32bbc
14367a226b8d9
151b1615e43b8
hexe98f48ed67

1003131301223 has 16 divisors (see below), whose sum is σ = 1106865672192. Its totient is φ = 905916792000.

The previous prime is 1003131301171. The next prime is 1003131301273. The reversal of 1003131301223 is 3221031313001.

It is a cyclic number.

It is not a de Polignac number, because 1003131301223 - 224 = 1003114524007 is a prime.

It is a super-2 number, since 2×10031313012232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003131301195 and 1003131301204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003131301273) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17128283 + ... + 17186748.

It is an arithmetic number, because the mean of its divisors is an integer number (69179104512).

Almost surely, 21003131301223 is an apocalyptic number.

1003131301223 is a deficient number, since it is larger than the sum of its proper divisors (103734370969).

1003131301223 is a wasteful number, since it uses less digits than its factorization.

1003131301223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34315126.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1003131301223 its reverse (3221031313001), we get a palindrome (4224162614224).

The spelling of 1003131301223 in words is "one trillion, three billion, one hundred thirty-one million, three hundred one thousand, two hundred twenty-three".

Divisors: 1 23 31 41 713 943 1271 29233 34315031 789245713 1063765961 1406916271 24466617103 32359074233 43614404401 1003131301223