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1312303104 = 21132721453
BaseRepresentation
bin100111000111000…
…0010100000000000
310101110022220102200
41032032002200000
510141422144404
6334115113200
744343251400
oct11616024000
93343286380
101312303104
11613840822
123075a2800
1317bb54c18
14c6404800
157a320839
hex4e382800

1312303104 has 216 divisors, whose sum is σ = 4412010330. Its totient is φ = 374685696.

The previous prime is 1312303103. The next prime is 1312303133. The reversal of 1312303104 is 4013032131.

It can be written as a sum of positive squares in only one way, i.e., 759112704 + 553190400 = 27552^2 + 23520^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1312303103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902442 + ... + 903894.

Almost surely, 21312303104 is an apocalyptic number.

1312303104 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 1312303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206005165).

1312303104 is an abundant number, since it is smaller than the sum of its proper divisors (3099707226).

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

1312303104 is a wasteful number, since it uses less digits than its factorization.

1312303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1312303104 is about 36225.7243405843. The cubic root of 1312303104 is about 1094.8250324054.

Adding to 1312303104 its reverse (4013032131), we get a palindrome (5325335235).

The spelling of 1312303104 in words is "one billion, three hundred twelve million, three hundred three thousand, one hundred four".