Search a number
-
+
101643396093 = 32237948712763
BaseRepresentation
bin101111010101001101…
…0110010001111111101
3100201100200222111212200
41132222122302033331
53131131202133333
6114405550422113
710225550416521
oct1365232621775
9321320874780
10101643396093
113a11a057998
1217848201939
13977b12aa75
144cc340dd81
15299d65bc13
hex17aa6b23fd

101643396093 has 48 divisors (see below), whose sum is σ = 155471646720. Its totient is φ = 63859210272.

The previous prime is 101643396059. The next prime is 101643396121. The reversal of 101643396093 is 390693346101.

101643396093 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 4 + 3 + 39 + 609 + 3 = 666.

It is not a de Polignac number, because 101643396093 - 28 = 101643395837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101643392093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7957530 + ... + 7970292.

It is an arithmetic number, because the mean of its divisors is an integer number (3238992640).

Almost surely, 2101643396093 is an apocalyptic number.

It is an amenable number.

101643396093 is a deficient number, since it is larger than the sum of its proper divisors (53828250627).

101643396093 is a wasteful number, since it uses less digits than its factorization.

101643396093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13358 (or 13355 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 101643396093 in words is "one hundred one billion, six hundred forty-three million, three hundred ninety-six thousand, ninety-three".

Divisors: 1 3 9 23 69 79 207 237 487 711 1461 1817 4383 5451 11201 12763 16353 33603 38289 38473 100809 114867 115419 293549 346257 880647 884879 1008277 2641941 2654637 3024831 6215581 7963911 9074493 18646743 23190371 55940229 69571113 142958363 208713339 428875089 491030899 1286625267 1473092697 4419278091 11293710677 33881132031 101643396093