Search a number
-
+
1016675101 = 13231434513
BaseRepresentation
bin111100100110010…
…011101100011101
32121212001110001101
4330212103230131
54040232100401
6244514513101
734123411231
oct7446235435
92555043041
101016675101
11481983062
12244595791
13132828100
149904c5c1
155e3c7101
hex3c993b1d

1016675101 has 24 divisors (see below), whose sum is σ = 1163095296. Its totient is φ = 886878720.

The previous prime is 1016675087. The next prime is 1016675117. The reversal of 1016675101 is 1015766101.

It is not a de Polignac number, because 1016675101 - 219 = 1016150813 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1016675101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016675131) 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 23 ways as a sum of consecutive naturals, for example, 223021 + ... + 227533.

It is an arithmetic number, because the mean of its divisors is an integer number (48462304).

Almost surely, 21016675101 is an apocalyptic number.

It is an amenable number.

1016675101 is a deficient number, since it is larger than the sum of its proper divisors (146420195).

1016675101 is a wasteful number, since it uses less digits than its factorization.

1016675101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 1016675101 is about 31885.3430434738. The cubic root of 1016675101 is about 1005.5277546266.

The spelling of 1016675101 in words is "one billion, sixteen million, six hundred seventy-five thousand, one hundred one".

Divisors: 1 13 31 43 169 403 559 1333 4513 5239 7267 17329 58669 139903 194059 225277 762697 1818739 2522767 6015829 23643607 32795971 78205777 1016675101