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12002131010 = 252814271221
BaseRepresentation
bin10110010110110000…
…11111110001000010
31010222110010102112202
423023120133301002
5144040021143020
65302543153202
7603265300412
oct131330376102
933873112482
1012002131010
1150a9987741
1223ab5a5802
13119372c78c
1481c014642
154a3a41e75
hex2cb61fc42

12002131010 has 16 divisors (see below), whose sum is σ = 21680722872. Its totient is φ = 4783766400.

The previous prime is 12002131007. The next prime is 12002131013. The reversal of 12002131010 is 1013120021.

12002131010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12002131007) and next prime (12002131013).

It can be written as a sum of positive squares in 4 ways, for example, as 6641109049 + 5361021961 = 81493^2 + 73219^2 .

It is a super-2 number, since 2×120021310102 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12002130982 and 12002131000.

It is not an unprimeable number, because it can be changed into a prime (12002131013) 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, 2132801 + ... + 2138420.

Almost surely, 212002131010 is an apocalyptic number.

12002131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002131010 is a deficient number, since it is larger than the sum of its proper divisors (9678591862).

12002131010 is a wasteful number, since it uses less digits than its factorization.

12002131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271509.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12002131010 its reverse (1013120021), we get a palindrome (13015251031).

The spelling of 12002131010 in words is "twelve billion, two million, one hundred thirty-one thousand, ten".

Divisors: 1 2 5 10 281 562 1405 2810 4271221 8542442 21356105 42712210 1200213101 2400426202 6001065505 12002131010