Search a number
-
+
120106261 = 11412511061
BaseRepresentation
bin1110010100010…
…10110100010101
322101000000211001
413022022310111
5221221400021
615530143301
72655613012
oct712126425
9271000731
10120106261
1161884680
1234281b31
131bb633c2
1411d46709
15a827091
hex728ad15

120106261 has 16 divisors (see below), whose sum is σ = 134882496. Its totient is φ = 106000000.

The previous prime is 120106249. The next prime is 120106289. The reversal of 120106261 is 162601021.

It is a cyclic number.

It is not a de Polignac number, because 120106261 - 211 = 120104213 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 (120106211) 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 15 ways as a sum of consecutive naturals, for example, 112671 + ... + 113731.

It is an arithmetic number, because the mean of its divisors is an integer number (8430156).

Almost surely, 2120106261 is an apocalyptic number.

120106261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120106261 is a deficient number, since it is larger than the sum of its proper divisors (14776235).

120106261 is a wasteful number, since it uses less digits than its factorization.

120106261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 120106261 is about 10959.3002057613. The cubic root of 120106261 is about 493.3879620030.

Adding to 120106261 its reverse (162601021), we get a palindrome (282707282).

The spelling of 120106261 in words is "one hundred twenty million, one hundred six thousand, two hundred sixty-one".

Divisors: 1 11 41 251 451 1061 2761 10291 11671 43501 113201 266311 478511 2929421 10918751 120106261