Search a number
-
+
101113306432 = 2615569101477
BaseRepresentation
bin101111000101011010…
…0101001110101000000
3100122222202112011120021
41132022310221311000
53124040001301212
6114241213023224
710206452631565
oct1361264516500
9318882464507
10101113306432
1139977909766
121771a784b14
1396c536bc48
144c72c6486c
15296bd4d307
hex178ad29d40

101113306432 has 28 divisors (see below), whose sum is σ = 200661582420. Its totient is φ = 50552907776.

The previous prime is 101113306421. The next prime is 101113306447. The reversal of 101113306432 is 234603311101.

It can be written as a sum of positive squares in 2 ways, for example, as 39993600256 + 61119706176 = 199984^2 + 247224^2 .

It is a super-2 number, since 2×1011133064322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101113306397 and 101113306406.

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 3 ways as a sum of consecutive naturals, for example, 945678 + ... + 1047154.

Almost surely, 2101113306432 is an apocalyptic number.

It is an amenable number.

101113306432 is a deficient number, since it is larger than the sum of its proper divisors (99548275988).

101113306432 is a wasteful number, since it uses less digits than its factorization.

101113306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117058 (or 117048 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 101113306432 its reverse (234603311101), we get a palindrome (335716617533).

The spelling of 101113306432 in words is "one hundred one billion, one hundred thirteen million, three hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 15569 31138 62276 101477 124552 202954 249104 405908 498208 811816 996416 1623632 3247264 6494528 1579895413 3159790826 6319581652 12639163304 25278326608 50556653216 101113306432