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2001141999 = 325910873467
BaseRepresentation
bin111011101000111…
…0000000011101111
312011110111112202100
41313101300003233
513044243020444
6530323230143
7100406266143
oct16721600357
95143445670
102001141999
1193765766a
1247a218353
1325b7870bc
1414dab5223
15baa3ae69
hex774700ef

2001141999 has 24 divisors (see below), whose sum is σ = 2943083520. Its totient is φ = 1309898448.

The previous prime is 2001141971. The next prime is 2001142007. The reversal of 2001141999 is 9991411002.

It is not a de Polignac number, because 2001141999 - 29 = 2001141487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001141599) 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 23 ways as a sum of consecutive naturals, for example, 575464 + ... + 578930.

It is an arithmetic number, because the mean of its divisors is an integer number (122628480).

Almost surely, 22001141999 is an apocalyptic number.

2001141999 is a deficient number, since it is larger than the sum of its proper divisors (941941521).

2001141999 is a wasteful number, since it uses less digits than its factorization.

2001141999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 2001141999 is about 44734.1256648657. The cubic root of 2001141999 is about 1260.1608090297.

The spelling of 2001141999 in words is "two billion, one million, one hundred forty-one thousand, nine hundred ninety-nine".

Divisors: 1 3 9 59 177 531 1087 3261 3467 9783 10401 31203 64133 192399 204553 577197 613659 1840977 3768629 11305887 33917661 222349111 667047333 2001141999