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10034003431 = 414321071237
BaseRepresentation
bin10010101100001001…
…01011110111100111
3221220021202012001201
421112010223313213
5131022201102211
64335355303331
7503436423214
oct112604536747
927807665051
1010034003431
114289a2a321
121b4044ab47
13c3ba6474a
146b2894b0b
153dad780c1
hex25612bde7

10034003431 has 24 divisors (see below), whose sum is σ = 10630270224. Its totient is φ = 9464595840.

The previous prime is 10034003401. The next prime is 10034003443. The reversal of 10034003431 is 13430043001.

It is not a de Polignac number, because 10034003431 - 233 = 1444068839 is a prime.

It is a super-2 number, since 2×100340034312 (a number of 21 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 = 10034003399 and 10034003408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034003401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8110945 + ... + 8112181.

It is an arithmetic number, because the mean of its divisors is an integer number (442927926).

Almost surely, 210034003431 is an apocalyptic number.

10034003431 is a deficient number, since it is larger than the sum of its proper divisors (596266793).

10034003431 is a wasteful number, since it uses less digits than its factorization.

10034003431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10034003431 its reverse (13430043001), we get a palindrome (23464046432).

The spelling of 10034003431 in words is "ten billion, thirty-four million, three thousand, four hundred thirty-one".

Divisors: 1 41 43 107 1237 1763 1849 4387 4601 50717 53191 75809 132359 188641 197843 2180831 2287213 5426719 5691437 8111563 93775733 233348917 244731791 10034003431