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2131710849 = 322291034309
BaseRepresentation
bin111111100001111…
…0101001110000001
312111120012010112200
41333003311032001
513331204221344
6551305543413
7103553146302
oct17703651601
95446163480
102131710849
119a4327a04
124b5aa4b69
1327c841788
141631827a9
15c722d069
hex7f0f5381

2131710849 has 12 divisors (see below), whose sum is σ = 3092586900. Its totient is φ = 1414933344.

The previous prime is 2131710797. The next prime is 2131710851. The reversal of 2131710849 is 9480171312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 965966400 + 1165744449 = 31080^2 + 34143^2 .

It is not a de Polignac number, because 2131710849 - 28 = 2131710593 is a prime.

It is a super-3 number, since 3×21317108493 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2131730849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515094 + ... + 519215.

It is an arithmetic number, because the mean of its divisors is an integer number (257715575).

Almost surely, 22131710849 is an apocalyptic number.

It is an amenable number.

2131710849 is a deficient number, since it is larger than the sum of its proper divisors (960876051).

2131710849 is a wasteful number, since it uses less digits than its factorization.

2131710849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034544 (or 1034541 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2131710849 is about 46170.4542862641. The cubic root of 2131710849 is about 1286.9927443295.

The spelling of 2131710849 in words is "two billion, one hundred thirty-one million, seven hundred ten thousand, eight hundred forty-nine".

Divisors: 1 3 9 229 687 2061 1034309 3102927 9308781 236856761 710570283 2131710849