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114012020105 = 5123726337001
BaseRepresentation
bin110101000101110100…
…1010101110110001001
3101220021200201201022022
41222023221111312021
53331444034120410
6124213145134225
711144216116034
oct1521351256611
9356250651268
10114012020105
11443968a4205
121a11a48a375
13a99c7697b9
145737d8601b
152e74444455
hex1a8ba55d89

114012020105 has 16 divisors (see below), whose sum is σ = 136996594704. Its totient is φ = 91088256000.

The previous prime is 114012020077. The next prime is 114012020219. The reversal of 114012020105 is 501020210411.

It can be written as a sum of positive squares in 8 ways, for example, as 2907797776 + 111104222329 = 53924^2 + 333323^2 .

It is not a de Polignac number, because 114012020105 - 222 = 114007825801 is a prime.

It is a super-2 number, since 2×1140120201052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 16281605 + ... + 16288605.

It is an arithmetic number, because the mean of its divisors is an integer number (8562287169).

Almost surely, 2114012020105 is an apocalyptic number.

It is an amenable number.

114012020105 is a deficient number, since it is larger than the sum of its proper divisors (22984574599).

114012020105 is a wasteful number, since it uses less digits than its factorization.

114012020105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 114012020105 its reverse (501020210411), we get a palindrome (615032230516).

The spelling of 114012020105 in words is "one hundred fourteen billion, twelve million, twenty thousand, one hundred five".

Divisors: 1 5 1237 2633 6185 7001 13165 35005 3257021 8660237 16285105 18433633 43301185 92168165 22802404021 114012020105