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3000102201999 = 327241165925679
BaseRepresentation
bin101011101010000100000…
…001101010101010001111
3101121210210021120200020100
4223222010001222222033
5343123202130430444
610214121122022143
7426515220650100
oct53520401525217
911553707520210
103000102201999
11a57377531641
124055341a7953
13189ba6a64a66
14a52c46dc3a7
155308d6d0e69
hex2ba8406aa8f

3000102201999 has 36 divisors (see below), whose sum is σ = 5163939012960. Its totient is φ = 1672530834240.

The previous prime is 3000102201991. The next prime is 3000102202033. The reversal of 3000102201999 is 9991022010003.

It is a happy number.

It is not a de Polignac number, because 3000102201999 - 23 = 3000102201991 is a prime.

It is a super-2 number, since 2×30001022019992 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000102201991) 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 35 ways as a sum of consecutive naturals, for example, 82944759 + ... + 82980920.

It is an arithmetic number, because the mean of its divisors is an integer number (143442750360).

Almost surely, 23000102201999 is an apocalyptic number.

3000102201999 is a deficient number, since it is larger than the sum of its proper divisors (2163836810961).

3000102201999 is a wasteful number, since it uses less digits than its factorization.

3000102201999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165925740 (or 165925730 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 3000102201999 in words is "three trillion, one hundred two million, two hundred one thousand, nine hundred ninety-nine".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 369 441 861 2009 2583 6027 18081 165925679 497777037 1161479753 1493331111 3484439259 6802952839 8130358271 10453317777 20408858517 24391074813 47620669873 61226575551 73173224439 142862009619 333344689111 428586028857 1000034067333 3000102201999