Search a number
-
+
100420243209 = 3411138669623
BaseRepresentation
bin101110110000110000…
…0110100111100001001
3100121012110101220120000
41131201200310330021
53121130040240314
6114044334153213
710153335661236
oct1354140647411
9317173356500
10100420243209
1139651678040
1217566652809
1396148bb070
144c08bb478d
15292b09b209
hex1761834f09

100420243209 has 40 divisors (see below), whose sum is σ = 176236116672. Its totient is φ = 56179150560.

The previous prime is 100420243207. The next prime is 100420243211. The reversal of 100420243209 is 902342024001.

100420243209 is a `hidden beast` number, since 10 + 0 + 420 + 24 + 3 + 209 = 666.

It is an interprime number because it is at equal distance from previous prime (100420243207) and next prime (100420243211).

It is not a de Polignac number, because 100420243209 - 21 = 100420243207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100420243207) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4323229 + ... + 4346394.

Almost surely, 2100420243209 is an apocalyptic number.

It is an amenable number.

100420243209 is a deficient number, since it is larger than the sum of its proper divisors (75815873463).

100420243209 is a wasteful number, since it uses less digits than its factorization.

100420243209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669659 (or 8669650 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 100420243209 in words is "one hundred billion, four hundred twenty million, two hundred forty-three thousand, two hundred nine".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 297 351 429 891 1053 1287 3861 11583 8669623 26008869 78026607 95365853 112705099 234079821 286097559 338115297 702239463 858292677 1014345891 1239756089 2574878031 3043037673 3719268267 7724634093 9129113019 11157804801 33473414403 100420243209