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13003203132 = 223579169339
BaseRepresentation
bin11000001110000110…
…10010001000111100
31020120012211011100000
430013003102020330
5203112310000012
65550143434300
7640142255133
oct140703221074
936505734300
1013003203132
115572a72a77
12262a8b5990
1312c2c5394a
148b4d6091a
15511885ddc
hex3070d223c

13003203132 has 72 divisors (see below), whose sum is σ = 34518265600. Its totient is φ = 4279509936.

The previous prime is 13003203061. The next prime is 13003203137. The reversal of 13003203132 is 23130230031.

13003203132 is a `hidden beast` number, since 1 + 30 + 0 + 320 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003203137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7882 + ... + 161457.

Almost surely, 213003203132 is an apocalyptic number.

13003203132 is a gapful number since it is divisible by the number (12) 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 13003203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17259132800).

13003203132 is an abundant number, since it is smaller than the sum of its proper divisors (21515062468).

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

13003203132 is a wasteful number, since it uses less digits than its factorization.

13003203132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169437 (or 169423 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13003203132 its reverse (23130230031), we get a palindrome (36133433163).

The spelling of 13003203132 in words is "thirteen billion, three million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 474 486 711 948 972 1422 2133 2844 4266 6399 8532 12798 19197 25596 38394 76788 169339 338678 508017 677356 1016034 1524051 2032068 3048102 4572153 6096204 9144306 13377781 13716459 18288612 26755562 27432918 40133343 41149377 53511124 54865836 80266686 82298754 120400029 160533372 164597508 240800058 361200087 481600116 722400174 1083600261 1444800348 2167200522 3250800783 4334401044 6501601566 13003203132