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100112221 = 1122740093
BaseRepresentation
bin1011111011110…
…01011101011101
320222101020011001
411331321131131
5201112042341
613533430301
72323640236
oct575713535
9228336131
10100112221
1151568880
122963b391
1317982901
14d42008d
158bc7d31
hex5f7975d

100112221 has 8 divisors (see below), whose sum is σ = 109697184. Its totient is φ = 90607920.

The previous prime is 100112219. The next prime is 100112227. The reversal of 100112221 is 122211001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100112221 - 21 = 100112219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112198 and 100112207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112227) 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 7 ways as a sum of consecutive naturals, for example, 17550 + ... + 22543.

It is an arithmetic number, because the mean of its divisors is an integer number (13712148).

Almost surely, 2100112221 is an apocalyptic number.

100112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112221 is a deficient number, since it is larger than the sum of its proper divisors (9584963).

100112221 is a wasteful number, since it uses less digits than its factorization.

100112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40331.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100112221 is about 10005.6094766886. The cubic root of 100112221 is about 464.3324463662.

Adding to 100112221 its reverse (122211001), we get a palindrome (222323222).

It can be divided in two parts, 1001 and 12221, that multiplied together give a palindrome (12233221).

The spelling of 100112221 in words is "one hundred million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 227 2497 40093 441023 9101111 100112221