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12002101131 = 318122103317
BaseRepresentation
bin10110010110110000…
…11000011110001011
31010222110001220120010
423023120120132023
5144040014214011
65302542403003
7603265114326
oct131330303613
933873056503
1012002101131
1150a9967249
1223ab590463
13119371bcb7
1481c0077bd
154a3a381a6
hex2cb61878b

12002101131 has 8 divisors (see below), whose sum is σ = 16091215504. Its totient is φ = 7957193760.

The previous prime is 12002101129. The next prime is 12002101147. The reversal of 12002101131 is 13110120021.

12002101131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 12002101131 - 21 = 12002101129 is a prime.

It is a super-2 number, since 2×120021011312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002301131) 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 7 ways as a sum of consecutive naturals, for example, 11051116 + ... + 11052201.

It is an arithmetic number, because the mean of its divisors is an integer number (2011401938).

Almost surely, 212002101131 is an apocalyptic number.

12002101131 is a deficient number, since it is larger than the sum of its proper divisors (4089114373).

12002101131 is a wasteful number, since it uses less digits than its factorization.

12002101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22103501.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12002101131 its reverse (13110120021), we get a palindrome (25112221152).

The spelling of 12002101131 in words is "twelve billion, two million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 181 543 22103317 66309951 4000700377 12002101131