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13121412010 = 2577313718743
BaseRepresentation
bin11000011100001100…
…01101101110101010
31020212110020210102121
430032012031232222
5203333040141020
610010005221454
7643106106340
oct141606155652
936773223377
1013121412010
115623771063
12266240188a
1313115a1525
148c6931990
1551be35baa
hex30e18dbaa

13121412010 has 64 divisors (see below), whose sum is σ = 27563576832. Its totient is φ = 4404519936.

The previous prime is 13121412001. The next prime is 13121412011. The reversal of 13121412010 is 1021412131.

13121412010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13121412011) 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 31 ways as a sum of consecutive naturals, for example, 690699 + ... + 709441.

It is an arithmetic number, because the mean of its divisors is an integer number (430680888).

Almost surely, 213121412010 is an apocalyptic number.

13121412010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13121412010 is an abundant number, since it is smaller than the sum of its proper divisors (14442164822).

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

13121412010 is a wasteful number, since it uses less digits than its factorization.

13121412010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18967.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13121412010 its reverse (1021412131), we get a palindrome (14142824141).

The spelling of 13121412010 in words is "thirteen billion, one hundred twenty-one million, four hundred twelve thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 73 137 146 274 365 511 685 730 959 1022 1370 1918 2555 4795 5110 9590 10001 18743 20002 37486 50005 70007 93715 100010 131201 140014 187430 262402 350035 656005 700070 1312010 1368239 2567791 2736478 5135582 6841195 9577673 12838955 13682390 17974537 19155346 25677910 35949074 47888365 89872685 95776730 179745370 187448743 374897486 937243715 1312141201 1874487430 2624282402 6560706005 13121412010