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123013241 = 1321747911
BaseRepresentation
bin1110101010100…
…00100001111001
322120110201102222
413111100201321
5222442410431
620112333425
73022411121
oct725204171
9276421388
10123013241
116348a73a
1235244275
131c640600
14124a1c81
15abed57b
hex7550879

123013241 has 24 divisors (see below), whose sum is σ = 144198144. Its totient is φ = 104482560.

The previous prime is 123013237. The next prime is 123013279. The reversal of 123013241 is 142310321.

It is not a de Polignac number, because 123013241 - 22 = 123013237 is a prime.

It is a super-2 number, since 2×1230132412 = 30264514922648162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123013441) 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 23 ways as a sum of consecutive naturals, for example, 134576 + ... + 135486.

It is an arithmetic number, because the mean of its divisors is an integer number (6008256).

Almost surely, 2123013241 is an apocalyptic number.

It is an amenable number.

123013241 is a deficient number, since it is larger than the sum of its proper divisors (21184903).

123013241 is a wasteful number, since it uses less digits than its factorization.

123013241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 123013241 is about 11091.1334407264. The cubic root of 123013241 is about 497.3368282168.

Adding to 123013241 its reverse (142310321), we get a palindrome (265323562).

The spelling of 123013241 in words is "one hundred twenty-three million, thirteen thousand, two hundred forty-one".

Divisors: 1 13 17 47 169 221 611 799 911 2873 7943 10387 11843 15487 42817 135031 153959 201331 556621 727889 2617303 7236073 9462557 123013241