Search a number
-
+
100160506116 = 223211252930571
BaseRepresentation
bin101110101001000001…
…0000000100100000100
3100120112100122220020200
41131102002000210010
53120112042143431
6114002455130500
710144033153236
oct1352202004404
9316470586220
10100160506116
1139528aa3790
12174b3673a30
1395a2b49688
144bc24c2256
152913391ee6
hex1752080904

100160506116 has 36 divisors (see below), whose sum is σ = 276200184624. Its totient is φ = 30351668400.

The previous prime is 100160506111. The next prime is 100160506133. The reversal of 100160506116 is 611605061001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100160506116.

It is not an unprimeable number, because it can be changed into a prime (100160506111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126464890 + ... + 126465681.

Almost surely, 2100160506116 is an apocalyptic number.

It is an amenable number.

100160506116 is an abundant number, since it is smaller than the sum of its proper divisors (176039678508).

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

100160506116 is a wasteful number, since it uses less digits than its factorization.

100160506116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252930592 (or 252930587 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 100160506116 its reverse (611605061001), we get a palindrome (711765567117).

The spelling of 100160506116 in words is "one hundred billion, one hundred sixty million, five hundred six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 252930571 505861142 758791713 1011722284 1517583426 2276375139 2782236281 3035166852 4552750278 5564472562 8346708843 9105500556 11128945124 16693417686 25040126529 33386835372 50080253058 100160506116