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13010003010 = 23251131279253
BaseRepresentation
bin11000001110111010…
…01110010001000010
31020120200121122000100
430013131032101002
5203121030044020
65550545303230
7640254125634
oct140735162102
936520548010
1013010003010
115576897904
122631034b16
1312c4494a44
148b5c10a54
1551227aa90
hex30774e442

13010003010 has 48 divisors (see below), whose sum is σ = 34125379704. Its totient is φ = 3438629376.

The previous prime is 13010003003. The next prime is 13010003047. The reversal of 13010003010 is 1030001031.

It can be written as a sum of positive squares in 4 ways, for example, as 2899499409 + 10110503601 = 53847^2 + 100551^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13010002983 and 13010003001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629457 + ... + 649796.

Almost surely, 213010003010 is an apocalyptic number.

13010003010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13010003010 is an abundant number, since it is smaller than the sum of its proper divisors (21115376694).

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

13010003010 is a wasteful number, since it uses less digits than its factorization.

13010003010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279379 (or 1279376 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 13010003010 its reverse (1030001031), we get a palindrome (14040004041).

The spelling of 13010003010 in words is "thirteen billion, ten million, three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 1279253 2558506 3837759 6396265 7675518 11513277 12792530 19188795 23026554 38377590 57566385 115132770 144555589 289111178 433666767 722777945 867333534 1301000301 1445555890 2168333835 2602000602 4336667670 6505001505 13010003010