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1003312112231 = 111317412715801
BaseRepresentation
bin11101001100110100000…
…11111110001001100111
310112220201112202011022102
432212122003332021213
5112414240400042411
62044525404322315
7132326003145632
oct16463203761147
93486645664272
101003312112231
11357558592930
1214254724339b
13737c552bc70
14367bc296c19
151b17240cd3b
hexe99a0fe267

1003312112231 has 16 divisors (see below), whose sum is σ = 1248052585248. Its totient is φ = 792414336000.

The previous prime is 1003312112203. The next prime is 1003312112233. The reversal of 1003312112231 is 1322112133001.

It is a happy number.

It is not a de Polignac number, because 1003312112231 - 226 = 1003245003367 is a prime.

It is a super-2 number, since 2×10033121122312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003312112233) 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, 206355470 + ... + 206360331.

It is an arithmetic number, because the mean of its divisors is an integer number (78003286578).

Almost surely, 21003312112231 is an apocalyptic number.

1003312112231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1003312112231 is a deficient number, since it is larger than the sum of its proper divisors (244740473017).

1003312112231 is a wasteful number, since it uses less digits than its factorization.

1003312112231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412715842.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1003312112231 its reverse (1322112133001), we get a palindrome (2325424245232).

The spelling of 1003312112231 in words is "one trillion, three billion, three hundred twelve million, one hundred twelve thousand, two hundred thirty-one".

Divisors: 1 11 13 17 143 187 221 2431 412715801 4539873811 5365305413 7016168617 59018359543 77177854787 91210192021 1003312112231