Search a number
-
+
120114261 = 3235413769
BaseRepresentation
bin1110010100011…
…00110001010101
322101000102210100
413022030301111
5221222124021
615530244313
72655645231
oct712146125
9271012710
10120114261
116188a693
1234286699
131bb66c37
1411d495c1
15a829626
hex728cc55

120114261 has 12 divisors (see below), whose sum is σ = 173593420. Its totient is φ = 80032320.

The previous prime is 120114233. The next prime is 120114289. The reversal of 120114261 is 162411021.

It is an interprime number because it is at equal distance from previous prime (120114233) and next prime (120114289).

It can be written as a sum of positive squares in 2 ways, for example, as 76475025 + 43639236 = 8745^2 + 6606^2 .

It is not a de Polignac number, because 120114261 - 217 = 119983189 is a prime.

It is a super-2 number, since 2×1201142612 = 28854871391152242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120114221) 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 11 ways as a sum of consecutive naturals, for example, 29985 + ... + 33753.

Almost surely, 2120114261 is an apocalyptic number.

It is an amenable number.

120114261 is a deficient number, since it is larger than the sum of its proper divisors (53479159).

120114261 is a wasteful number, since it uses less digits than its factorization.

120114261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316 (or 7313 counting only the distinct ones).

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

The square root of 120114261 is about 10959.6651864918. The cubic root of 120114261 is about 493.3989162365.

Adding to 120114261 its reverse (162411021), we get a palindrome (282525282).

The spelling of 120114261 in words is "one hundred twenty million, one hundred fourteen thousand, two hundred sixty-one".

Divisors: 1 3 9 3541 3769 10623 11307 31869 33921 13346029 40038087 120114261