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20130003012 = 22372193117729
BaseRepresentation
bin10010101111110101…
…110111100001000100
31220221220011002212010
4102233311313201010
5312211240044022
613125251454220
71311561126300
oct225765674104
956856132763
1020130003012
11859a953229
123a995b7370
131b8a5c48b2
14d8d686d00
157cc39a50c
hex4afd77844

20130003012 has 72 divisors (see below), whose sum is σ = 54669958560. Its totient is φ = 5748126720.

The previous prime is 20130003011. The next prime is 20130003037. The reversal of 20130003012 is 21030003102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20130003011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1126564 + ... + 1144292.

It is an arithmetic number, because the mean of its divisors is an integer number (759304980).

Almost surely, 220130003012 is an apocalyptic number.

It is an amenable number.

20130003012 is an abundant number, since it is smaller than the sum of its proper divisors (34539955548).

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

20130003012 is a wasteful number, since it uses less digits than its factorization.

20130003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19681 (or 19672 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20130003012 its reverse (21030003102), we get a palindrome (41160006114).

The spelling of 20130003012 in words is "twenty billion, one hundred thirty million, three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1931 3862 5793 7724 11586 13517 17729 23172 27034 35458 40551 53187 54068 70916 81102 94619 106374 124103 162204 189238 212748 248206 283857 372309 378476 496412 567714 744618 868721 1135428 1489236 1737442 2606163 3474884 5212326 10424652 34234699 68469398 102704097 136938796 205408194 239642893 410816388 479285786 718928679 958571572 1437857358 1677500251 2875714716 3355000502 5032500753 6710001004 10065001506 20130003012