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12301040024 = 2371346136653
BaseRepresentation
bin10110111010011001…
…01111100110011000
31011202021120120121222
423131030233212120
5200143031240044
65352341551212
7613555054310
oct133514574630
934667516558
1012301040024
115242686489
122473715508
131210637b10
148499c2440
154bedd78ee
hex2dd32f998

12301040024 has 64 divisors (see below), whose sum is σ = 28449368640. Its totient is φ = 4855656960.

The previous prime is 12301040009. The next prime is 12301040029. The reversal of 12301040024 is 42004010321.

It is a super-3 number, since 3×123010400243 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12301039984 and 12301040011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301040029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317282 + ... + 353934.

It is an arithmetic number, because the mean of its divisors is an integer number (444521385).

Almost surely, 212301040024 is an apocalyptic number.

12301040024 is a gapful number since it is divisible by the number (14) 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 12301040024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224684320).

12301040024 is an abundant number, since it is smaller than the sum of its proper divisors (16148328616).

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

12301040024 is a wasteful number, since it uses less digits than its factorization.

12301040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37140 (or 37136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12301040024 its reverse (42004010321), we get a palindrome (54305050345).

The spelling of 12301040024 in words is "twelve billion, three hundred one million, forty thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 461 728 922 1844 3227 3688 5993 6454 11986 12908 23972 25816 36653 41951 47944 73306 83902 146612 167804 256571 293224 335608 476489 513142 952978 1026284 1905956 2052568 3335423 3811912 6670846 13341692 16897033 26683384 33794066 67588132 118279231 135176264 219661429 236558462 439322858 473116924 878645716 946233848 1537630003 1757291432 3075260006 6150520012 12301040024