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12300202032 = 24317131115067
BaseRepresentation
bin10110111010010011…
…00011000000110000
31011202020000000010020
423131021203000300
5200142322431112
65352312003440
7613544664216
oct133511430060
934666000106
1012300202032
115242163928
122473390580
131210403571
14849844cb6
154becbe48c
hex2dd263030

12300202032 has 80 divisors (see below), whose sum is σ = 33901794432. Its totient is φ = 3829396480.

The previous prime is 12300202009. The next prime is 12300202037. The reversal of 12300202032 is 23020200321.

It is not an unprimeable number, because it can be changed into a prime (12300202037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49363 + ... + 164429.

Almost surely, 212300202032 is an apocalyptic number.

12300202032 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 12300202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16950897216).

12300202032 is an abundant number, since it is smaller than the sum of its proper divisors (21601592400).

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

12300202032 is a wasteful number, since it uses less digits than its factorization.

12300202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115226 (or 115220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12300202032 its reverse (23020200321), we get a palindrome (35320402353).

The spelling of 12300202032 in words is "twelve billion, three hundred million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 204 262 272 393 408 524 786 816 1048 1572 2096 2227 3144 4454 6288 6681 8908 13362 17816 26724 35632 53448 106896 115067 230134 345201 460268 690402 920536 1380804 1841072 1956139 2761608 3912278 5523216 5868417 7824556 11736834 15073777 15649112 23473668 30147554 31298224 45221331 46947336 60295108 90442662 93894672 120590216 180885324 241180432 256254209 361770648 512508418 723541296 768762627 1025016836 1537525254 2050033672 3075050508 4100067344 6150101016 12300202032