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1031134104 = 23337111319251
BaseRepresentation
bin111101011101011…
…101101110011000
32122212021001002000
4331131131232120
54102432242404
6250152441000
734360331610
oct7535355630
92585231060
101031134104
1148a059350
122493a9160
1313581b430
149ad33a40
15607d1339
hex3d75db98

1031134104 has 512 divisors, whose sum is σ = 4064256000. Its totient is φ = 233280000.

The previous prime is 1031134079. The next prime is 1031134141. The reversal of 1031134104 is 4014311301.

1031134104 is a `hidden beast` number, since 10 + 311 + 341 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4107979 + ... + 4108229.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 21031134104 is an apocalyptic number.

1031134104 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 1031134104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

1031134104 is an abundant number, since it is smaller than the sum of its proper divisors (3033121896).

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

1031134104 is a wasteful number, since it uses less digits than its factorization.

1031134104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1031134104 is about 32111.2768976881. The cubic root of 1031134104 is about 1010.2721561778.

Adding to 1031134104 its reverse (4014311301), we get a palindrome (5045445405).

The spelling of 1031134104 in words is "one billion, thirty-one million, one hundred thirty-four thousand, one hundred four".