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1002011011199 = 114717311203039
BaseRepresentation
bin11101001010011001000…
…00101010100001111111
310112210100212111101020022
432211030200222201333
5112404104304324244
62044152325242355
7132251524031312
oct16451440524177
93483325441208
101002011011199
11356a50103420
121422435633bb
1373648ac9ab3
14366d756a979
151b0e80a16ee
hexe94c82a87f

1002011011199 has 16 divisors (see below), whose sum is σ = 1122813480960. Its totient is φ = 886384366560.

The previous prime is 1002011011189. The next prime is 1002011011231. The reversal of 1002011011199 is 9911101102001.

1002011011199 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002011011199 - 220 = 1002009962623 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002011011139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5512079 + ... + 5690960.

It is an arithmetic number, because the mean of its divisors is an integer number (70175842560).

Almost surely, 21002011011199 is an apocalyptic number.

1002011011199 is a deficient number, since it is larger than the sum of its proper divisors (120802469761).

1002011011199 is a wasteful number, since it uses less digits than its factorization.

1002011011199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11203270.

The product of its (nonzero) digits is 162, while the sum is 26.

The spelling of 1002011011199 in words is "one trillion, two billion, eleven million, eleven thousand, one hundred ninety-nine".

Divisors: 1 11 47 173 517 1903 8131 89441 11203039 123233429 526542833 1938125747 5791971163 21319383217 91091910109 1002011011199