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13230202032 = 24321512292657
BaseRepresentation
bin11000101001001010…
…01101110010110000
31021011000221220021200
430110211031302300
5204043412431112
610024453051200
7645566601405
oct142445156260
937130856250
1013230202032
11567a116673
122692926b00
13132aca1c18
148d71702ac
15526774cdc
hex31494dcb0

13230202032 has 120 divisors (see below), whose sum is σ = 37448243040. Its totient is φ = 4360089600.

The previous prime is 13230202021. The next prime is 13230202049. The reversal of 13230202032 is 23020203231.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13230201996 and 13230202014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4978048 + ... + 4980704.

It is an arithmetic number, because the mean of its divisors is an integer number (312068692).

Almost surely, 213230202032 is an apocalyptic number.

13230202032 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 13230202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724121520).

13230202032 is an abundant number, since it is smaller than the sum of its proper divisors (24218041008).

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

13230202032 is a wasteful number, since it uses less digits than its factorization.

13230202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13230202032 its reverse (23020203231), we get a palindrome (36250405263).

The spelling of 13230202032 in words is "thirteen billion, two hundred thirty million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 229 302 453 458 604 687 906 916 1208 1359 1374 1812 1832 2061 2416 2657 2718 2748 3624 3664 4122 5314 5436 5496 7248 7971 8244 10628 10872 10992 15942 16488 21256 21744 23913 31884 32976 34579 42512 47826 63768 69158 95652 103737 127536 138316 191304 207474 276632 311211 382608 401207 414948 553264 608453 622422 802414 829896 1203621 1216906 1244844 1604828 1659792 1825359 2407242 2433812 2489688 3209656 3610863 3650718 4814484 4867624 4979376 5476077 6419312 7221726 7301436 9628968 9735248 10952154 14443452 14602872 19257936 21904308 28886904 29205744 43808616 57773808 87617232 91876403 183752806 275629209 367505612 551258418 735011224 826887627 1102516836 1470022448 1653775254 2205033672 3307550508 4410067344 6615101016 13230202032