Search a number
-
+
10301231413424 = 247731259935349
BaseRepresentation
bin1001010111100111000100…
…1111010011100010110000
31100110210021112021120020002
42111321301033103202300
52322233410220212144
633524153111405132
72112145055201360
oct225716117234260
940423245246202
1010301231413424
113311800642466
1211a45456837a8
1359952c129a13
14278821a1a9a0
1512ce5a79514e
hex95e713d38b0

10301231413424 has 40 divisors (see below), whose sum is σ = 23122333543200. Its totient is φ = 4354336562688.

The previous prime is 10301231413373. The next prime is 10301231413439. The reversal of 10301231413424 is 42431413210301.

10301231413424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103012314134242 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629959499 + ... + 629975850.

It is an arithmetic number, because the mean of its divisors is an integer number (578058338580).

Almost surely, 210301231413424 is an apocalyptic number.

10301231413424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10301231413424 is an abundant number, since it is smaller than the sum of its proper divisors (12821102129776).

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

10301231413424 is a wasteful number, since it uses less digits than its factorization.

10301231413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259935437 (or 1259935431 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 10301231413424 its reverse (42431413210301), we get a palindrome (52732644623725).

The spelling of 10301231413424 in words is "ten trillion, three hundred one billion, two hundred thirty-one million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 4088 8176 1259935349 2519870698 5039741396 8819547443 10079482792 17639094886 20158965584 35278189772 70556379544 91975280477 141112759088 183950560954 367901121908 643826963339 735802243816 1287653926678 1471604487632 2575307853356 5150615706712 10301231413424