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13330201000 = 235350926189
BaseRepresentation
bin11000110101000101…
…01011100110101000
31021102000010101002011
430122202223212220
5204300012413000
610042424245304
7651222560524
oct143242534650
937360111064
1013330201000
115720607346
122700310834
1313459150cc
14906560d84
155304292ba
hex31a8ab9a8

13330201000 has 64 divisors (see below), whose sum is σ = 31255146000. Its totient is φ = 5321401600.

The previous prime is 13330200997. The next prime is 13330201009. The reversal of 13330201000 is 10203331.

It can be written as a sum of positive squares in 8 ways, for example, as 3334600516 + 9995600484 = 57746^2 + 99978^2 .

It is not an unprimeable number, because it can be changed into a prime (13330201009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495906 + ... + 522094.

Almost surely, 213330201000 is an apocalyptic number.

13330201000 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 13330201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15627573000).

13330201000 is an abundant number, since it is smaller than the sum of its proper divisors (17924945000).

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

13330201000 is a wasteful number, since it uses less digits than its factorization.

13330201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26719 (or 26705 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13330201000 its reverse (10203331), we get a palindrome (13340404331).

The spelling of 13330201000 in words is "thirteen billion, three hundred thirty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 509 1000 1018 2036 2545 4072 5090 10180 12725 20360 25450 26189 50900 52378 63625 101800 104756 127250 130945 209512 254500 261890 509000 523780 654725 1047560 1309450 2618900 3273625 5237800 6547250 13094500 13330201 26189000 26660402 53320804 66651005 106641608 133302010 266604020 333255025 533208040 666510050 1333020100 1666275125 2666040200 3332550250 6665100500 13330201000