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100001232221 = 11257301911717
BaseRepresentation
bin101110100100010001…
…0011011010101011101
3100120010020221221112112
41131020202123111131
53114300303412341
6113535005243405
710140060306662
oct1351042332535
9316106857475
10100001232221
11394570a7970
121746a263565
139578b51577
144ba92a1a69
1529043ceaeb
hex174889b55d

100001232221 has 16 divisors (see below), whose sum is σ = 109562362560. Its totient is φ = 90518753280.

The previous prime is 100001232217. The next prime is 100001232223. The reversal of 100001232221 is 122232100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100001232221 - 22 = 100001232217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001232196 and 100001232205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001232223) 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 15 ways as a sum of consecutive naturals, for example, 8528855 + ... + 8540571.

It is an arithmetic number, because the mean of its divisors is an integer number (6847647660).

Almost surely, 2100001232221 is an apocalyptic number.

100001232221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001232221 is a deficient number, since it is larger than the sum of its proper divisors (9561130339).

100001232221 is a wasteful number, since it uses less digits than its factorization.

100001232221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15004.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100001232221 its reverse (122232100001), we get a palindrome (222233332222).

The spelling of 100001232221 in words is "one hundred billion, one million, two hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 11 257 2827 3019 11717 33209 128887 775883 3011269 8534713 33123959 35373623 389109853 9091021111 100001232221