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13020202300 = 22527173310733
BaseRepresentation
bin11000010000001000…
…01000010100111100
31020121101210210210211
430020010020110330
5203131132433200
65551552042204
7640436615320
oct141004102474
936541723724
1013020202300
115581623776
122634533364
1312c6626221
148b7307980
155130e2aba
hex30810853c

13020202300 has 72 divisors (see below), whose sum is σ = 32311744416. Its totient is φ = 4461077760.

The previous prime is 13020202289. The next prime is 13020202313. The reversal of 13020202300 is 320202031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207734 + ... + 1218466.

It is an arithmetic number, because the mean of its divisors is an integer number (448774228).

Almost surely, 213020202300 is an apocalyptic number.

13020202300 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 13020202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16155872208).

13020202300 is an abundant number, since it is smaller than the sum of its proper divisors (19291542116).

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

13020202300 is a wasteful number, since it uses less digits than its factorization.

13020202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 13020202300 its reverse (320202031), we get a palindrome (13340404331).

The spelling of 13020202300 in words is "thirteen billion, twenty million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1733 3466 6932 8665 10733 12131 17330 21466 24262 34660 42932 43325 48524 53665 60655 75131 86650 107330 121310 150262 173300 214660 242620 268325 300524 303275 375655 536650 606550 751310 1073300 1213100 1502620 1878275 3756550 7513100 18600289 37200578 74401156 93001445 130202023 186002890 260404046 372005780 465007225 520808092 651010115 930014450 1302020230 1860028900 2604040460 3255050575 6510101150 13020202300