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2010007431 = 32832690773
BaseRepresentation
bin111011111001110…
…0100011110000111
312012002011221211200
41313303210132013
513104030214211
6531241233543
7100544531655
oct16763443607
95162157750
102010007431
11941662373
124811928b3
1326056c413
14150d41dd5
15bb6dcb56
hex77ce4787

2010007431 has 12 divisors (see below), whose sum is σ = 2938325208. Its totient is φ = 1323859824.

The previous prime is 2010007423. The next prime is 2010007453. The reversal of 2010007431 is 1347000102.

It is not a de Polignac number, because 2010007431 - 23 = 2010007423 is a prime.

It is a super-2 number, since 2×20100074312 = 8080259745350439522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010007471) 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 11 ways as a sum of consecutive naturals, for example, 1344640 + ... + 1346133.

It is an arithmetic number, because the mean of its divisors is an integer number (244860434).

Almost surely, 22010007431 is an apocalyptic number.

2010007431 is a deficient number, since it is larger than the sum of its proper divisors (928317777).

2010007431 is a wasteful number, since it uses less digits than its factorization.

2010007431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690862 (or 2690859 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2010007431 is about 44833.1064170218. The cubic root of 2010007431 is about 1262.0189834505.

Adding to 2010007431 its reverse (1347000102), we get a palindrome (3357007533).

The spelling of 2010007431 in words is "two billion, ten million, seven thousand, four hundred thirty-one".

Divisors: 1 3 9 83 249 747 2690773 8072319 24216957 223334159 670002477 2010007431