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1003231213101 = 32138574625753
BaseRepresentation
bin11101001100101010011…
…11010111011000101101
310112220111220112001120100
432212111033113120231
5112414104142304401
62044513354341313
7132324001416255
oct16462517273055
93486456461510
101003231213101
11357516958147
1214252412a839
13737b1845560
14367b1638965
151b16a27cb86
hexe9953d762d

1003231213101 has 12 divisors (see below), whose sum is σ = 1560581887228. Its totient is φ = 617373054144.

The previous prime is 1003231213097. The next prime is 1003231213109. The reversal of 1003231213101 is 1013121323001.

1003231213101 is a `hidden beast` number, since 10 + 0 + 32 + 312 + 1 + 310 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 329602292100 + 673628921001 = 574110^2 + 820749^2 .

It is not a de Polignac number, because 1003231213101 - 22 = 1003231213097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003231213109) 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 11 ways as a sum of consecutive naturals, for example, 4287312760 + ... + 4287312993.

Almost surely, 21003231213101 is an apocalyptic number.

It is an amenable number.

1003231213101 is a deficient number, since it is larger than the sum of its proper divisors (557350674127).

1003231213101 is a wasteful number, since it uses less digits than its factorization.

1003231213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574625772 (or 8574625769 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1003231213101 its reverse (1013121323001), we get a palindrome (2016352536102).

The spelling of 1003231213101 in words is "one trillion, three billion, two hundred thirty-one million, two hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 13 39 117 8574625753 25723877259 77171631777 111470134789 334410404367 1003231213101