Search a number
-
+
100001110221 = 3321165326881
BaseRepresentation
bin101110100100010000…
…1111101100011001101
3100120010020201202012000
41131020201331203031
53114300241011341
6113535002502513
710140056261205
oct1351041754315
9316106652160
10100001110221
1139457024241
121746a204a39
139578b0ab8c
144ba926d405
1529043a88b6
hex174887d8cd

100001110221 has 32 divisors (see below), whose sum is σ = 149085421440. Its totient is φ = 66247372800.

The previous prime is 100001110217. The next prime is 100001110247. The reversal of 100001110221 is 122011100001.

It is a happy number.

It is not a de Polignac number, because 100001110221 - 22 = 100001110217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001110421) 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 31 ways as a sum of consecutive naturals, for example, 3706701 + ... + 3733581.

It is an arithmetic number, because the mean of its divisors is an integer number (4658919420).

Almost surely, 2100001110221 is an apocalyptic number.

It is an amenable number.

100001110221 is a deficient number, since it is larger than the sum of its proper divisors (49084311219).

100001110221 is a wasteful number, since it uses less digits than its factorization.

100001110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27754 (or 27748 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001110221 its reverse (122011100001), we get a palindrome (222012210222).

The spelling of 100001110221 in words is "one hundred billion, one million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 27 211 633 653 1899 1959 5697 5877 17631 26881 80643 137783 241929 413349 725787 1240047 3720141 5671891 17015673 17553293 51047019 52659879 153141057 157979637 473938911 3703744823 11111234469 33333703407 100001110221