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13010252000 = 25534375641
BaseRepresentation
bin11000001110111100…
…01011000011100000
31020120201002021120012
430013132023003200
5203121111031000
65550554504052
7640256213564
oct140736130340
936521067505
1013010252000
115576a47989
122631135028
1312c4551185
148b5c776a4
155122c9735
hex30778b0e0

13010252000 has 96 divisors (see below), whose sum is σ = 32710021344. Its totient is φ = 5083008000.

The previous prime is 13010251939. The next prime is 13010252029. The reversal of 13010252000 is 25201031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134180 + ... + 209820.

It is an arithmetic number, because the mean of its divisors is an integer number (340729389).

Almost surely, 213010252000 is an apocalyptic number.

13010252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13010252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355010672).

13010252000 is an abundant number, since it is smaller than the sum of its proper divisors (19699769344).

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

13010252000 is an equidigital number, since it uses as much as digits as its factorization.

13010252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75709 (or 75691 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 13010252000 its reverse (25201031), we get a palindrome (13035453031).

The spelling of 13010252000 in words is "thirteen billion, ten million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 17200 21500 34400 43000 75641 86000 151282 172000 302564 378205 605128 756410 1210256 1512820 1891025 2420512 3025640 3252563 3782050 6051280 6505126 7564100 9455125 12102560 13010252 15128200 16262815 18910250 26020504 30256400 32525630 37820500 52041008 60512800 65051260 75641000 81314075 104082016 130102520 151282000 162628150 260205040 302564000 325256300 406570375 520410080 650512600 813140750 1301025200 1626281500 2602050400 3252563000 6505126000 13010252000