Search a number
-
+
1016193361 = 31732711657
BaseRepresentation
bin111100100100011…
…110000101010001
32121211010222020011
4330210132011101
54040121141421
6244500314521
734116333601
oct7444360521
92554128204
101016193361
11481684127
122443a2a41
131326b9a61
1498d64c01
155e32e4e1
hex3c91e151

1016193361 has 16 divisors (see below), whose sum is σ = 1067911168. Its totient is φ = 965779200.

The previous prime is 1016193349. The next prime is 1016193407. The reversal of 1016193361 is 1633916101.

It is a 8-Lehmer number, since φ(1016193361) divides (1016193361-1)8.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1016193361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a deceptive number, since it divides R1016193360.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1016193341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612445 + ... + 614101.

It is an arithmetic number, because the mean of its divisors is an integer number (66744448).

Almost surely, 21016193361 is an apocalyptic number.

It is an amenable number.

1016193361 is a deficient number, since it is larger than the sum of its proper divisors (51717807).

1016193361 is a wasteful number, since it uses less digits than its factorization.

1016193361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032.

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 1016193361 is about 31877.7878937670. The cubic root of 1016193361 is about 1005.3689102165.

The spelling of 1016193361 in words is "one billion, sixteen million, one hundred ninety-three thousand, three hundred sixty-one".

Divisors: 1 31 73 271 1657 2263 8401 19783 51367 120961 449047 613273 3749791 13920457 32780431 1016193361