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1310424142104 = 23327111316317957
BaseRepresentation
bin10011000100011011010…
…111011001000100011000
311122021102201012201221100
4103010123113121010120
5132432222040021404
62442000041111400
7163450350265260
oct23043327310430
94567381181840
101310424142104
114658252a1470
12191b76488560
1396759929a6c
14475d3b987a0
1524149164d39
hex1311b5d9118

1310424142104 has 192 divisors, whose sum is σ = 4425391376640. Its totient is φ = 340325095680.

The previous prime is 1310424142103. The next prime is 1310424142199. The reversal of 1310424142104 is 4012414240131.

1310424142104 is a `hidden beast` number, since 1 + 3 + 10 + 424 + 14 + 210 + 4 = 666.

It is a super-2 number, since 2×13104241421042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310424142103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72966694 + ... + 72984650.

It is an arithmetic number, because the mean of its divisors is an integer number (23048913420).

Almost surely, 21310424142104 is an apocalyptic number.

1310424142104 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 1310424142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212695688320).

1310424142104 is an abundant number, since it is smaller than the sum of its proper divisors (3114967234536).

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

1310424142104 is a wasteful number, since it uses less digits than its factorization.

1310424142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31150 (or 31143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1310424142104 its reverse (4012414240131), we get a palindrome (5322838382235).

The spelling of 1310424142104 in words is "one trillion, three hundred ten billion, four hundred twenty-four million, one hundred forty-two thousand, one hundred four".