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1003422334131 = 357284271633
BaseRepresentation
bin11101001101000001010…
…00011011110010110011
310112221000020011000100000
432212200220123302303
5112420002104143011
62044544343001043
7132331512053400
oct16464050336263
93487006130300
101003422334131
11357604826208
12142578139183
1373812311319
14367ccb892a7
151b17be31356
hexe9a0a1bcb3

1003422334131 has 36 divisors (see below), whose sum is σ = 1748467862232. Its totient is φ = 573384184128.

The previous prime is 1003422334129. The next prime is 1003422334133. The reversal of 1003422334131 is 1314332243001.

It is a happy number.

1003422334131 is a `hidden beast` number, since 10 + 0 + 3 + 4 + 2 + 233 + 413 + 1 = 666.

1003422334131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1003422334129) and next prime (1003422334133).

It is not a de Polignac number, because 1003422334131 - 21 = 1003422334129 is a prime.

It is a super-2 number, since 2×10034223341312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1003422334095 and 1003422334104.

It is not an unprimeable number, because it can be changed into a prime (1003422334133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42123910 + ... + 42147723.

Almost surely, 21003422334131 is an apocalyptic number.

1003422334131 is a deficient number, since it is larger than the sum of its proper divisors (745045528101).

1003422334131 is an frugal number, since it uses more digits than its factorization.

1003422334131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84271662 (or 84271643 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1003422334131 its reverse (1314332243001), we get a palindrome (2317754577132).

The spelling of 1003422334131 in words is "one trillion, three billion, four hundred twenty-two million, three hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 1323 1701 3969 11907 84271633 252814899 589901431 758444697 1769704293 2275334091 4129310017 5309112879 6826002273 12387930051 15927338637 20478006819 37163790153 47782015911 111491370459 143346047733 334474111377 1003422334131