Search a number
-
+
12300230323032 = 23329144611222097
BaseRepresentation
bin1011001011111101111011…
…0110111110101101011000
31121112220001012101202100020
42302333132312332231120
53103011332430314112
642054351531510440
72406443113444521
oct262773666765530
947486035352306
1012300230323032
113a12553395213
121467a4a2b8420
136b2ba31617c2
14307497557848
15164e5592848c
hexb2fdedbeb58

12300230323032 has 64 divisors (see below), whose sum is σ = 31813166296800. Its totient is φ = 3958417827840.

The previous prime is 12300230323001. The next prime is 12300230323057. The reversal of 12300230323032 is 23032303200321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12300230322993 and 12300230323011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9453808 + ... + 10675904.

Almost surely, 212300230323032 is an apocalyptic number.

12300230323032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12300230323032 is an abundant number, since it is smaller than the sum of its proper divisors (19512935973768).

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

12300230323032 is a wasteful number, since it uses less digits than its factorization.

12300230323032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236596 (or 1236592 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 12300230323032 its reverse (23032303200321), we get a palindrome (35332533523353).

The spelling of 12300230323032 in words is "twelve trillion, three hundred billion, two hundred thirty million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 14461 28922 43383 57844 86766 115688 173532 347064 419369 838738 1222097 1258107 1677476 2444194 2516214 3354952 3666291 4888388 5032428 7332582 9776776 10064856 14665164 29330328 35440813 70881626 106322439 141763252 212644878 283526504 425289756 850579512 17672744717 35345489434 53018234151 70690978868 106036468302 141381957736 212072936604 424145873208 512509596793 1025019193586 1537528790379 2050038387172 3075057580758 4100076774344 6150115161516 12300230323032