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12001032010 = 25112919011979
BaseRepresentation
bin10110010110101000…
…10011011101001010
31010222101001121000001
423023110103131022
5144034231011020
65302503433214
7603253042342
oct131324233512
933871047001
1012001032010
1150a92a6a80
1223ab15580a
131193436496
1481bc09d22
154a38c650a
hex2cb51374a

12001032010 has 64 divisors (see below), whose sum is σ = 24403420800. Its totient is φ = 4209184000.

The previous prime is 12001032007. The next prime is 12001032041. The reversal of 12001032010 is 1023010021.

12001032010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6063201 + ... + 6065179.

It is an arithmetic number, because the mean of its divisors is an integer number (381303450).

Almost surely, 212001032010 is an apocalyptic number.

12001032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001032010 is an abundant number, since it is smaller than the sum of its proper divisors (12402388790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12001032010 is a wasteful number, since it uses less digits than its factorization.

12001032010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12001032010 its reverse (1023010021), we get a palindrome (13024042031).

The spelling of 12001032010 in words is "twelve billion, one million, thirty-two thousand, ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 290 319 638 1595 1901 1979 3190 3802 3958 9505 9895 19010 19790 20911 21769 41822 43538 55129 57391 104555 108845 110258 114782 209110 217690 275645 286955 551290 573910 606419 631301 1212838 1262602 3032095 3156505 3762079 6064190 6313010 7524158 18810395 37620790 41382869 82765738 109100291 206914345 218200582 413828690 545501455 1091002910 1200103201 2400206402 6000516005 12001032010