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1310214112 = 25471814813
BaseRepresentation
bin100111000011000…
…0100011111100000
310101022101202212121
41032012010133200
510140403322422
6334002234024
744316431134
oct11606043740
93338352777
101310214112
11612644289
12306955914
1317b5a312c
14c601d3c4
157a05b8c7
hex4e1847e0

1310214112 has 48 divisors (see below), whose sum is σ = 2649471552. Its totient is φ = 637493760.

The previous prime is 1310214107. The next prime is 1310214133. The reversal of 1310214112 is 2114120131.

It is a super-2 number, since 2×13102141122 = 3433322038567897088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 269818 + ... + 274630.

It is an arithmetic number, because the mean of its divisors is an integer number (55197324).

Almost surely, 21310214112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324735776).

1310214112 is an abundant number, since it is smaller than the sum of its proper divisors (1339257440).

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

1310214112 is a wasteful number, since it uses less digits than its factorization.

1310214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1310214112 is about 36196.8798655354. The cubic root of 1310214112 is about 1094.2437908294.

Adding to 1310214112 its reverse (2114120131), we get a palindrome (3424334243).

The spelling of 1310214112 in words is "one billion, three hundred ten million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 94 181 188 362 376 724 752 1448 1504 2896 4813 5792 8507 9626 17014 19252 34028 38504 68056 77008 136112 154016 226211 272224 452422 871153 904844 1742306 1809688 3484612 3619376 6969224 7238752 13938448 27876896 40944191 81888382 163776764 327553528 655107056 1310214112