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214181101 = 1817091669
BaseRepresentation
bin11001100010000…
…10010011101101
3112221000112020101
430301002103231
5414312243401
633130351101
75210336461
oct1461022355
9487015211
10214181101
11aa999482
125b88b491
13354b0ca4
14206344a1
1513c0b101
hexcc424ed

214181101 has 8 divisors (see below), whose sum is σ = 215797400. Its totient is φ = 212569920.

The previous prime is 214181057. The next prime is 214181119. The reversal of 214181101 is 101181412.

It can be written as a sum of positive squares in 4 ways, for example, as 3960100 + 210221001 = 1990^2 + 14499^2 .

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 214181101 - 225 = 180626669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214181131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127495 + ... + 129163.

It is an arithmetic number, because the mean of its divisors is an integer number (26974675).

Almost surely, 2214181101 is an apocalyptic number.

It is an amenable number.

214181101 is a deficient number, since it is larger than the sum of its proper divisors (1616299).

214181101 is a wasteful number, since it uses less digits than its factorization.

214181101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559.

The product of its (nonzero) digits is 64, while the sum is 19.

The square root of 214181101 is about 14634.9274340531. The cubic root of 214181101 is about 598.3110846616.

The spelling of 214181101 in words is "two hundred fourteen million, one hundred eighty-one thousand, one hundred one".

Divisors: 1 181 709 1669 128329 302089 1183321 214181101