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13020200000 = 265565101
BaseRepresentation
bin11000010000001000…
…00111110001000000
31020121101210200122122
430020010013301000
5203131132400000
65551552023412
7640436605523
oct141004076100
936541720578
1013020200000
115581621a75
122634531b68
1312c6625172
148b7306bba
155130e2085
hex308107c40

13020200000 has 84 divisors (see below), whose sum is σ = 32294628324. Its totient is φ = 5208000000.

The previous prime is 13020199993. The next prime is 13020200009. The reversal of 13020200000 is 202031.

It can be written as a sum of positive squares in 6 ways, for example, as 8598481984 + 4421718016 = 92728^2 + 66496^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (13020200009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167450 + ... + 232550.

It is an arithmetic number, because the mean of its divisors is an integer number (384459861).

Almost surely, 213020200000 is an apocalyptic number.

13020200000 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 13020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16147314162).

13020200000 is an abundant number, since it is smaller than the sum of its proper divisors (19274428324).

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

13020200000 is an frugal number, since it uses more digits than its factorization.

13020200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65138 (or 65108 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 13020200000 its reverse (202031), we get a palindrome (13020402031).

The spelling of 13020200000 in words is "thirteen billion, twenty million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 65101 100000 130202 200000 260404 325505 520808 651010 1041616 1302020 1627525 2083232 2604040 3255050 4166464 5208080 6510100 8137625 10416160 13020200 16275250 20832320 26040400 32550500 40688125 52080800 65101000 81376250 104161600 130202000 162752500 203440625 260404000 325505000 406881250 520808000 651010000 813762500 1302020000 1627525000 2604040000 3255050000 6510100000 13020200000