Search a number
-
+
100042655643 = 32710115722561
BaseRepresentation
bin101110100101100000…
…0011100011110011011
3100120020010220110210100
41131023000130132123
53114341404440033
6113543045150443
710141102353660
oct1351300343633
9316203813710
10100042655643
113947851a9a7
12174800bb423
1395845c5c78
144bb09a5a67
152907d63513
hex174b01c79b

100042655643 has 24 divisors (see below), whose sum is σ = 166784937696. Its totient is φ = 56601216000.

The previous prime is 100042655639. The next prime is 100042655659. The reversal of 100042655643 is 346556240001.

100042655643 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 2 + 6 + 5 + 5 + 643 = 666.

It is not a de Polignac number, because 100042655643 - 22 = 100042655639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100042655598 and 100042655607.

It is not an unprimeable number, because it can be changed into a prime (100042655623) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7854918 + ... + 7867643.

It is an arithmetic number, because the mean of its divisors is an integer number (6949372404).

Almost surely, 2100042655643 is an apocalyptic number.

100042655643 is a deficient number, since it is larger than the sum of its proper divisors (66742282053).

100042655643 is a wasteful number, since it uses less digits than its factorization.

100042655643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722675 (or 15722672 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 100042655643 its reverse (346556240001), we get a palindrome (446598895644).

The spelling of 100042655643 in words is "one hundred billion, forty-two million, six hundred fifty-five thousand, six hundred forty-three".

Divisors: 1 3 7 9 21 63 101 303 707 909 2121 6363 15722561 47167683 110057927 141503049 330173781 990521343 1587978661 4763935983 11115850627 14291807949 33347551881 100042655643