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13132215200 = 2552131262713
BaseRepresentation
bin11000011101011110…
…11011001110100000
31020220012120122121202
430032233123032200
5203343321341300
610011032540332
7643266662456
oct141657331640
936805518552
1013132215200
11562987a715
122665b516a8
1313138b4850
148c81449d6
1551cd6bad5
hex30ebdb3a0

13132215200 has 72 divisors (see below), whose sum is σ = 34525126188. Its totient is φ = 4848814080.

The previous prime is 13132215197. The next prime is 13132215209. The reversal of 13132215200 is 251223131.

It can be written as a sum of positive squares in 6 ways, for example, as 1008443536 + 12123771664 = 31756^2 + 110108^2 .

It is a super-2 number, since 2×131322152002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13132215209) 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, 620957 + ... + 641756.

Almost surely, 213132215200 is an apocalyptic number.

13132215200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132215200 is an abundant number, since it is smaller than the sum of its proper divisors (21392910988).

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

13132215200 is a wasteful number, since it uses less digits than its factorization.

13132215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262746 (or 1262733 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13132215200 its reverse (251223131), we get a palindrome (13383438331).

The spelling of 13132215200 in words is "thirteen billion, one hundred thirty-two million, two hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 1262713 2525426 5050852 6313565 10101704 12627130 16415269 20203408 25254260 31567825 32830538 40406816 50508520 63135650 65661076 82076345 101017040 126271300 131322152 164152690 202034080 252542600 262644304 328305380 410381725 505085200 525288608 656610760 820763450 1010170400 1313221520 1641526900 2626443040 3283053800 6566107600 13132215200