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13432103000 = 235337336011
BaseRepresentation
bin11001000001001110…
…11010000001011000
31021200002212112100022
430200213122001120
5210002104244000
610100504330012
7653600664101
oct144047320130
937602775308
1013432103000
115773087878
12272a473908
131360a73554
14915cc93a8
15539357585
hex3209da058

13432103000 has 64 divisors (see below), whose sum is σ = 31516261920. Its totient is φ = 5358288000.

The previous prime is 13432102993. The next prime is 13432103023. The reversal of 13432103000 is 30123431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13432103000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354995 + ... + 391005.

Almost surely, 213432103000 is an apocalyptic number.

13432103000 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 13432103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15758130960).

13432103000 is an abundant number, since it is smaller than the sum of its proper divisors (18084158920).

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

13432103000 is a wasteful number, since it uses less digits than its factorization.

13432103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36405 (or 36391 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13432103000 its reverse (30123431), we get a palindrome (13462226431).

The spelling of 13432103000 in words is "thirteen billion, four hundred thirty-two million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 373 500 746 1000 1492 1865 2984 3730 7460 9325 14920 18650 36011 37300 46625 72022 74600 93250 144044 180055 186500 288088 360110 373000 720220 900275 1440440 1800550 3601100 4501375 7202200 9002750 13432103 18005500 26864206 36011000 53728412 67160515 107456824 134321030 268642060 335802575 537284120 671605150 1343210300 1679012875 2686420600 3358025750 6716051500 13432103000