Search a number
-
+
101150469396 = 223210127819161
BaseRepresentation
bin101111000110100001…
…0011010110100010100
3100200002100110020120100
41132031002122310110
53124124010010041
6114245021334100
710210413542454
oct1361502326424
9320070406510
10101150469396
1139996891859
121772b107330
1396ccc81372
144c77b79d64
15297023e6b6
hex178d09ad14

101150469396 has 36 divisors (see below), whose sum is σ = 258217461684. Its totient is φ = 33382992000.

The previous prime is 101150469389. The next prime is 101150469463. The reversal of 101150469396 is 693964051101.

101150469396 is a `hidden beast` number, since 1 + 0 + 1 + 150 + 469 + 39 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96947540496 + 4202928900 = 311364^2 + 64830^2 .

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

It is a super-2 number, since 2×1011504693962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13905945 + ... + 13913216.

It is an arithmetic number, because the mean of its divisors is an integer number (7172707269).

Almost surely, 2101150469396 is an apocalyptic number.

It is an amenable number.

101150469396 is an abundant number, since it is smaller than the sum of its proper divisors (157066992288).

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

101150469396 is a wasteful number, since it uses less digits than its factorization.

101150469396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27819272 (or 27819267 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 101150469396 in words is "one hundred one billion, one hundred fifty million, four hundred sixty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 27819161 55638322 83457483 111276644 166914966 250372449 333829932 500744898 1001489796 2809735261 5619470522 8429205783 11238941044 16858411566 25287617349 33716823132 50575234698 101150469396