Search a number
-
+
101320456464 = 24321108763463
BaseRepresentation
bin101111001011100101…
…0110111100100010000
3100200112012022110222200
41132113022313210100
53130001014101324
6114313533003200
710214546445543
oct1362712674420
9320465273880
10101320456464
1139a73835637
1217778023500
13972925a826
144c9258885a
15298011aec9
hex17972b7910

101320456464 has 60 divisors (see below), whose sum is σ = 283586599296. Its totient is φ = 33769907136.

The previous prime is 101320456459. The next prime is 101320456477. The reversal of 101320456464 is 464654023101.

101320456464 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 0 + 4 + 5 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1564797 + ... + 1628259.

Almost surely, 2101320456464 is an apocalyptic number.

It is an amenable number.

101320456464 is an abundant number, since it is smaller than the sum of its proper divisors (182266142832).

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

101320456464 is a wasteful number, since it uses less digits than its factorization.

101320456464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74564 (or 74555 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 101320456464 its reverse (464654023101), we get a palindrome (565974479565).

The spelling of 101320456464 in words is "one hundred one billion, three hundred twenty million, four hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11087 22174 33261 44348 63463 66522 88696 99783 126926 133044 177392 190389 199566 253852 266088 380778 399132 507704 532176 571167 761556 798264 1015408 1142334 1523112 1596528 2284668 3046224 4569336 9138672 703614281 1407228562 2110842843 2814457124 4221685686 5628914248 6332528529 8443371372 11257828496 12665057058 16886742744 25330114116 33773485488 50660228232 101320456464