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1013503136 = 25291092137
BaseRepresentation
bin111100011010001…
…101010010100000
32121122002021221012
4330122031102200
54033424100021
6244322520052
734054430432
oct7432152240
92548067835
101013503136
114801069a8
12243506028
13131c873c9
1498864652
155de9c35b
hex3c68d4a0

1013503136 has 24 divisors (see below), whose sum is σ = 2064140820. Its totient is φ = 489276928.

The previous prime is 1013503079. The next prime is 1013503151. The reversal of 1013503136 is 6313053101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 914699536 + 98803600 = 30244^2 + 9940^2 .

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 3 ways as a sum of consecutive naturals, for example, 545141 + ... + 546996.

Almost surely, 21013503136 is an apocalyptic number.

1013503136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1013503136 is an abundant number, since it is smaller than the sum of its proper divisors (1050637684).

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

1013503136 is a wasteful number, since it uses less digits than its factorization.

1013503136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092176 (or 1092168 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 1013503136 is about 31835.5640125945. The cubic root of 1013503136 is about 1004.4809365504.

Adding to 1013503136 its reverse (6313053101), we get a palindrome (7326556237).

The spelling of 1013503136 in words is "one billion, thirteen million, five hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1092137 2184274 4368548 8737096 17474192 31671973 34948384 63343946 126687892 253375784 506751568 1013503136