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122141417 = 291032397
BaseRepresentation
bin1110100011110…
…11101011101001
322111211102112012
413101323223221
5222232011132
620041525305
73012120266
oct721735351
9274742465
10122141417
1162a44722
1234aa3835
131c3c6838
141231626d
15aaca0b2
hex747bae9

122141417 has 12 divisors (see below), whose sum is σ = 127913220. Its totient is φ = 116490528.

The previous prime is 122141407. The next prime is 122141423. The reversal of 122141417 is 714141221.

It can be written as a sum of positive squares in 2 ways, for example, as 73085401 + 49056016 = 8549^2 + 7004^2 .

It is not a de Polignac number, because 122141417 - 26 = 122141353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122141392 and 122141401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122141407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307463 + ... + 307859.

It is an arithmetic number, because the mean of its divisors is an integer number (10659435).

Almost surely, 2122141417 is an apocalyptic number.

It is an amenable number.

122141417 is a deficient number, since it is larger than the sum of its proper divisors (5771803).

122141417 is an equidigital number, since it uses as much as digits as its factorization.

122141417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 529 counting only the distinct ones).

The product of its digits is 448, while the sum is 23.

The square root of 122141417 is about 11051.7608099343. The cubic root of 122141417 is about 496.1591269372.

Adding to 122141417 its reverse (714141221), we get a palindrome (836282638).

It can be divided in two parts, 12214 and 1417, that added together give a palindrome (13631).

The spelling of 122141417 in words is "one hundred twenty-two million, one hundred forty-one thousand, four hundred seventeen".

Divisors: 1 29 103 397 2987 10609 11513 40891 307661 1185839 4211773 122141417