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10013101210 = 2577313714303
BaseRepresentation
bin10010101001101001…
…11100110010011010
3221211211102020121101
421110310330302122
5131001323214320
64333331302014
7503063645620
oct112464746232
927754366541
1010013101210
114279153162
121b3544a90a
13c37626778
146adbb3510
153d90e9c0a
hex254d3cc9a

10013101210 has 64 divisors (see below), whose sum is σ = 21034432512. Its totient is φ = 3361084416.

The previous prime is 10013101187. The next prime is 10013101249. The reversal of 10013101210 is 1210131001.

10013101210 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, 692919 + ... + 707221.

It is an arithmetic number, because the mean of its divisors is an integer number (328663008).

Almost surely, 210013101210 is an apocalyptic number.

10013101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10013101210 is an abundant number, since it is smaller than the sum of its proper divisors (11021331302).

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

10013101210 is a wasteful number, since it uses less digits than its factorization.

10013101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14527.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10013101210 its reverse (1210131001), we get a palindrome (11223232211).

The spelling of 10013101210 in words is "ten billion, thirteen million, one hundred one thousand, two hundred 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 14303 20002 28606 50005 70007 71515 100010 100121 140014 143030 200242 350035 500605 700070 1001210 1044119 1959511 2088238 3919022 5220595 7308833 9797555 10441190 13716577 14617666 19595110 27433154 36544165 68582885 73088330 137165770 143044303 286088606 715221515 1001310121 1430443030 2002620242 5006550605 10013101210