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1011313521 = 32112368169
BaseRepresentation
bin111100010001110…
…110101101110001
32121110222001100100
4330101312231301
54032344013041
6244203543013
734030010631
oct7421665561
92543861310
101011313521
114799508a9
1224282aa69
1313169b88a
14984546c1
155dbb86b6
hex3c476b71

1011313521 has 6 divisors (see below), whose sum is σ = 1460786210. Its totient is φ = 674209008.

The previous prime is 1011313409. The next prime is 1011313529. The reversal of 1011313521 is 1253131101.

1011313521 is a `hidden beast` number, since 10 + 1 + 131 + 3 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 980942400 + 30371121 = 31320^2 + 5511^2 .

It is not a de Polignac number, because 1011313521 - 211 = 1011311473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011313494 and 1011313503.

It is not an unprimeable number, because it can be changed into a prime (1011313529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56184076 + ... + 56184093.

Almost surely, 21011313521 is an apocalyptic number.

It is an amenable number.

1011313521 is a deficient number, since it is larger than the sum of its proper divisors (449472689).

1011313521 is a wasteful number, since it uses less digits than its factorization.

1011313521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112368175 (or 112368172 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1011313521 is about 31801.1559695556. The cubic root of 1011313521 is about 1003.7570406350.

Adding to 1011313521 its reverse (1253131101), we get a palindrome (2264444622).

The spelling of 1011313521 in words is "one billion, eleven million, three hundred thirteen thousand, five hundred twenty-one".

Divisors: 1 3 9 112368169 337104507 1011313521