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12002101019 = 31259211681
BaseRepresentation
bin10110010110110000…
…11000011100011011
31010222110001220101222
423023120120130123
5144040014213034
65302542402255
7603265114106
oct131330303433
933873056358
1012002101019
1150a9967157
1223ab59038b
13119371bc2c
1481c00773d
154a3a3812e
hex2cb61871b

12002101019 has 12 divisors (see below), whose sum is σ = 12612013560. Its totient is φ = 11418019200.

The previous prime is 12002101003. The next prime is 12002101057. The reversal of 12002101019 is 91010120021.

12002101019 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 12002101019 - 24 = 12002101003 is a prime.

It is a super-2 number, since 2×120021010192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002100988 and 12002101006.

It is not an unprimeable number, because it can be changed into a prime (12002101519) 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, 49142 + ... + 162539.

It is an arithmetic number, because the mean of its divisors is an integer number (1051001130).

Almost surely, 212002101019 is an apocalyptic number.

12002101019 is a deficient number, since it is larger than the sum of its proper divisors (609912541).

12002101019 is an equidigital number, since it uses as much as digits as its factorization.

12002101019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211802 (or 211771 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 12002101019 in words is "twelve billion, two million, one hundred one thousand, nineteen".

Divisors: 1 31 59 961 1829 56699 211681 6562111 12489179 203425441 387164549 12002101019