Search a number
-
+
13032113325 = 35271110122343
BaseRepresentation
bin11000010001100011…
…00100010010101101
31020122020012221122220
430020301210102231
5203142210111300
65553055225553
7640643064330
oct141061442255
936566187586
1013032113325
1155883196a0
1226385182b9
1312c8c3687a
148b8b28617
15514196da0
hex308c644ad

13032113325 has 96 divisors (see below), whose sum is σ = 27130263552. Its totient is φ = 5362080000.

The previous prime is 13032113291. The next prime is 13032113377. The reversal of 13032113325 is 52331123031.

It is not a de Polignac number, because 13032113325 - 212 = 13032109229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13032113295 and 13032113304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 572104 + ... + 594446.

It is an arithmetic number, because the mean of its divisors is an integer number (282606912).

Almost surely, 213032113325 is an apocalyptic number.

13032113325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13032113325 is an abundant number, since it is smaller than the sum of its proper divisors (14098150227).

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

13032113325 is a wasteful number, since it uses less digits than its factorization.

13032113325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22475 (or 22470 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 13032113325 its reverse (52331123031), we get a palindrome (65363236356).

It can be divided in two parts, 1303211 and 3325, that added together give a triangular number (1306536 = T1616).

The spelling of 13032113325 in words is "thirteen billion, thirty-two million, one hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 101 105 165 175 231 275 303 385 505 525 707 825 1111 1155 1515 1925 2121 2525 3333 3535 5555 5775 7575 7777 10605 16665 17675 22343 23331 27775 38885 53025 67029 83325 111715 116655 156401 194425 245773 335145 469203 558575 583275 737319 782005 1228865 1675725 1720411 2256643 2346015 3686595 3910025 5161233 6144325 6769929 8602055 11283215 11730075 15796501 18432975 24823073 25806165 33849645 43010275 47389503 56416075 74469219 78982505 124115365 129030825 169248225 173761511 236947515 372346095 394912525 521284533 620576825 868807555 1184737575 1861730475 2606422665 4344037775 13032113325