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122045418 = 23211616391
BaseRepresentation
bin1110100011001…
…00001111101010
322111122112211200
413101210033222
5222220423133
620035505030
73011240355
oct721441752
9274575750
10122045418
1162989590
1234a58176
131c391c31
14122cd29c
15aaab913
hex74643ea

122045418 has 24 divisors (see below), whose sum is σ = 288471456. Its totient is φ = 36983400.

The previous prime is 122045401. The next prime is 122045449. The reversal of 122045418 is 814540221.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122045391 and 122045400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307998 + ... + 308393.

It is an arithmetic number, because the mean of its divisors is an integer number (12019644).

Almost surely, 2122045418 is an apocalyptic number.

122045418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

122045418 is an abundant number, since it is smaller than the sum of its proper divisors (166426038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122045418 is a wasteful number, since it uses less digits than its factorization.

122045418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616410 (or 616407 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 122045418 is about 11047.4168021307. The cubic root of 122045418 is about 496.0291048001.

Adding to 122045418 its reverse (814540221), we get a palindrome (936585639).

The spelling of 122045418 in words is "one hundred twenty-two million, forty-five thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 616391 1232782 1849173 3698346 5547519 6780301 11095038 13560602 20340903 40681806 61022709 122045418