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122240261 = 11132413547
BaseRepresentation
bin1110100100100…
…11110100000101
322112000110010002
413102103310011
5222243142021
620044011045
73013011413
oct722236405
9275013102
10122240261
1163001a10
1234b30a85
131c42c820
14123402b3
15aae950b
hex7493d05

122240261 has 16 divisors (see below), whose sum is σ = 144247488. Its totient is φ = 102124800.

The previous prime is 122240257. The next prime is 122240269. The reversal of 122240261 is 162042221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122240261 - 22 = 122240257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122240269) 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, 32690 + ... + 36236.

It is an arithmetic number, because the mean of its divisors is an integer number (9015468).

Almost surely, 2122240261 is an apocalyptic number.

122240261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122240261 is a deficient number, since it is larger than the sum of its proper divisors (22007227).

122240261 is a wasteful number, since it uses less digits than its factorization.

122240261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 122240261 is about 11056.2317721727. The cubic root of 122240261 is about 496.2929312071.

Adding to 122240261 its reverse (162042221), we get a palindrome (284282482).

The spelling of 122240261 in words is "one hundred twenty-two million, two hundred forty thousand, two hundred sixty-one".

Divisors: 1 11 13 143 241 2651 3133 3547 34463 39017 46111 507221 854827 9403097 11112751 122240261