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1310112016 = 241923187373
BaseRepresentation
bin100111000010110…
…1011100100010000
310101022012120211021
41032011223210100
510140342041031
6334000125224
744315524363
oct11605534420
93338176737
101310112016
11612584604
12306906814
1317b568815
14c5dd40da
157a03b511
hex4e16b910

1310112016 has 40 divisors (see below), whose sum is σ = 2788125120. Its totient is φ = 593594496.

The previous prime is 1310112007. The next prime is 1310112017. The reversal of 1310112016 is 6102110131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1310112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86695 + ... + 100678.

It is an arithmetic number, because the mean of its divisors is an integer number (69703128).

Almost surely, 21310112016 is an apocalyptic number.

1310112016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1310112016 is an abundant number, since it is smaller than the sum of its proper divisors (1478013104).

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

1310112016 is a wasteful number, since it uses less digits than its factorization.

1310112016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187423 (or 187417 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1310112016 is about 36195.4695507601. The cubic root of 1310112016 is about 1094.2153677864.

Adding to 1310112016 its reverse (6102110131), we get a palindrome (7412222147).

The spelling of 1310112016 in words is "one billion, three hundred ten million, one hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 3496 6992 187373 374746 749492 1498984 2997968 3560087 4309579 7120174 8619158 14240348 17238316 28480696 34476632 56961392 68953264 81882001 163764002 327528004 655056008 1310112016