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122111041 = 1319747681
BaseRepresentation
bin1110100011101…
…00010001000001
322111202212212011
413101310101001
5222230023131
620041132521
73011632603
oct721642101
9274685764
10122111041
1162a23918
1234a8a141
131c3b5a70
1412309173
15aac10b1
hex7474441

122111041 has 8 divisors (see below), whose sum is σ = 132174504. Its totient is φ = 112143360.

The previous prime is 122111039. The next prime is 122111057. The reversal of 122111041 is 140111221.

It can be written as a sum of positive squares in 4 ways, for example, as 14470416 + 107640625 = 3804^2 + 10375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122111041 - 21 = 122111039 is a prime.

It is a super-2 number, since 2×1221110412 = 29822212668207362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21280 + ... + 26401.

It is an arithmetic number, because the mean of its divisors is an integer number (16521813).

Almost surely, 2122111041 is an apocalyptic number.

It is an amenable number.

122111041 is a deficient number, since it is larger than the sum of its proper divisors (10063463).

122111041 is a wasteful number, since it uses less digits than its factorization.

122111041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47891.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 122111041 is about 11050.3864638301. The cubic root of 122111041 is about 496.1179927078.

Adding to 122111041 its reverse (140111221), we get a palindrome (262222262).

The spelling of 122111041 in words is "one hundred twenty-two million, one hundred eleven thousand, forty-one".

Divisors: 1 13 197 2561 47681 619853 9393157 122111041