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13010120310 = 2351146784421
BaseRepresentation
bin11000001110111011…
…01010111001110110
31020120200211120220210
430013131222321312
5203121042322220
65550552010250
7640255124625
oct140735527166
936520746823
1013010120310
115576967a50
122631090986
1312c4506255
148b5c416bc
155122a06e0
hex30776ae76

13010120310 has 64 divisors (see below), whose sum is σ = 34136204544. Its totient is φ = 3147177600.

The previous prime is 13010120297. The next prime is 13010120317. The reversal of 13010120310 is 1302101031.

It is a super-2 number, since 2×130101203102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010120317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111900 + ... + 196320.

It is an arithmetic number, because the mean of its divisors is an integer number (533378196).

Almost surely, 213010120310 is an apocalyptic number.

13010120310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13010120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068102272).

13010120310 is an abundant number, since it is smaller than the sum of its proper divisors (21126084234).

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

13010120310 is a wasteful number, since it uses less digits than its factorization.

13010120310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84909.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13010120310 its reverse (1302101031), we get a palindrome (14312221341).

The spelling of 13010120310 in words is "thirteen billion, ten million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 467 934 1401 2335 2802 4670 5137 7005 10274 14010 15411 25685 30822 51370 77055 84421 154110 168842 253263 422105 506526 844210 928631 1266315 1857262 2532630 2785893 4643155 5571786 9286310 13929465 27858930 39424607 78849214 118273821 197123035 236547642 394246070 433670677 591369105 867341354 1182738210 1301012031 2168353385 2602024062 4336706770 6505060155 13010120310