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116401221 = 32109311833
BaseRepresentation
bin1101111000000…
…10010001000101
322010000210110100
412330002101011
5214244314341
615314514313
72612252106
oct674022105
9263023410
10116401221
115a783a62
1232b95999
131b166b81
14116603ad
15a3443b6
hex6f02445

116401221 has 12 divisors (see below), whose sum is σ = 168303148. Its totient is φ = 77523264.

The previous prime is 116401189. The next prime is 116401247. The reversal of 116401221 is 122104611.

116401221 is a `hidden beast` number, since 1 + 1 + 640 + 1 + 2 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112656996 + 3744225 = 10614^2 + 1935^2 .

It is not a de Polignac number, because 116401221 - 25 = 116401189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 116401194 and 116401203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116401291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3921 + ... + 15753.

Almost surely, 2116401221 is an apocalyptic number.

It is an amenable number.

116401221 is a deficient number, since it is larger than the sum of its proper divisors (51901927).

116401221 is a wasteful number, since it uses less digits than its factorization.

116401221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12932 (or 12929 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 116401221 is about 10788.9397532844. The cubic root of 116401221 is about 488.2615348190.

Adding to 116401221 its reverse (122104611), we get a palindrome (238505832).

The spelling of 116401221 in words is "one hundred sixteen million, four hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 1093 3279 9837 11833 35499 106497 12933469 38800407 116401221