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13132214032 = 247244337811
BaseRepresentation
bin11000011101011110…
…11010111100010000
31020220012120121000111
430032233122330100
5203343321322112
610011032531104
7643266656200
oct141657327420
936805517014
1013132214032
115629879853
122665b50a94
1313138b4162
148c8144400
1551cd6b5a7
hex30ebdaf10

13132214032 has 60 divisors (see below), whose sum is σ = 29665328976. Its totient is φ = 5615238720.

The previous prime is 13132213981. The next prime is 13132214033. The reversal of 13132214032 is 23041223131.

It is a junction number, because it is equal to n+sod(n) for n = 13132213994 and 13132214012.

It is not an unprimeable number, because it can be changed into a prime (13132214033) 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, 328407 + ... + 366217.

Almost surely, 213132214032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14832664488).

13132214032 is an abundant number, since it is smaller than the sum of its proper divisors (16533114944).

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

13132214032 is a wasteful number, since it uses less digits than its factorization.

13132214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38276 (or 38263 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13132214032 its reverse (23041223131), we get a palindrome (36173437163).

Subtracting 13132214032 from its reverse (23041223131), we obtain a palindrome (9909009099).

The spelling of 13132214032 in words is "thirteen billion, one hundred thirty-two million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 443 784 886 1772 3101 3544 6202 7088 12404 21707 24808 37811 43414 49616 75622 86828 151244 173656 264677 302488 347312 529354 604976 1058708 1852739 2117416 3705478 4234832 7410956 14821912 16750273 29643824 33500546 67001092 117251911 134002184 234503822 268004368 469007644 820763377 938015288 1641526754 1876030576 3283053508 6566107016 13132214032