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2001187641 = 31275252461
BaseRepresentation
bin111011101000111…
…1011001100111001
312011110120212100210
41313101323030321
513044301001031
6530324221333
7100406546205
oct16721731471
95143525323
102001187641
11937688992
1247a23a849
1325b7a1acb
1414dac7b05
15baa49746
hex7747b339

2001187641 has 8 divisors (see below), whose sum is σ = 2689260544. Its totient is φ = 1323619920.

The previous prime is 2001187627. The next prime is 2001187649. The reversal of 2001187641 is 1467811002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2001187641 - 26 = 2001187577 is a prime.

It is a super-2 number, since 2×20011876412 = 8009503948982289762, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2001187599 and 2001187608.

It is not an unprimeable number, because it can be changed into a prime (2001187649) 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 7 ways as a sum of consecutive naturals, for example, 2625850 + ... + 2626611.

It is an arithmetic number, because the mean of its divisors is an integer number (336157568).

Almost surely, 22001187641 is an apocalyptic number.

It is an amenable number.

2001187641 is a deficient number, since it is larger than the sum of its proper divisors (688072903).

2001187641 is a wasteful number, since it uses less digits than its factorization.

2001187641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252591.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 2001187641 is about 44734.6358094039. The cubic root of 2001187641 is about 1260.1703895297.

Adding to 2001187641 its reverse (1467811002), we get a palindrome (3468998643).

The spelling of 2001187641 in words is "two billion, one million, one hundred eighty-seven thousand, six hundred forty-one".

Divisors: 1 3 127 381 5252461 15757383 667062547 2001187641