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1312223264 = 251113727211
BaseRepresentation
bin100111000110110…
…1111000000100000
310101110011211220122
41032031233000200
510141412121024
6334113255412
744342466542
oct11615570040
93343154818
101312223264
11613796840
12307564568
1317bb27791
14c63c3692
157a306d5e
hex4e36f020

1312223264 has 48 divisors (see below), whose sum is σ = 2838973536. Its totient is φ = 592089600.

The previous prime is 1312223261. The next prime is 1312223267. The reversal of 1312223264 is 4623222131.

It is an interprime number because it is at equal distance from previous prime (1312223261) and next prime (1312223267).

It is not an unprimeable number, because it can be changed into a prime (1312223261) 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, 34619 + ... + 61829.

It is an arithmetic number, because the mean of its divisors is an integer number (59145282).

Almost surely, 21312223264 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 1312223264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419486768).

1312223264 is an abundant number, since it is smaller than the sum of its proper divisors (1526750272).

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

1312223264 is a wasteful number, since it uses less digits than its factorization.

1312223264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27369 (or 27361 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 1312223264 is about 36224.6223444772. The cubic root of 1312223264 is about 1094.8028290483.

Adding to 1312223264 its reverse (4623222131), we get a palindrome (5935445395).

The spelling of 1312223264 in words is "one billion, three hundred twelve million, two hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 274 352 548 1096 1507 2192 3014 4384 6028 12056 24112 27211 48224 54422 108844 217688 299321 435376 598642 870752 1197284 2394568 3727907 4789136 7455814 9578272 14911628 29823256 41006977 59646512 82013954 119293024 164027908 328055816 656111632 1312223264