Search a number
-
+
122035077 = 3247288499
BaseRepresentation
bin1110100011000…
…01101110000101
322111122000122200
413101201232011
5222220110302
620035345113
73011165253
oct721415605
9274560580
10122035077
116298183a
1234a52199
131c38a308
14122c95d3
15aaa881c
hex7461b85

122035077 has 12 divisors (see below), whose sum is σ = 180024000. Its totient is φ = 79625448.

The previous prime is 122035051. The next prime is 122035093. The reversal of 122035077 is 770530221.

It is not a de Polignac number, because 122035077 - 27 = 122034949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122035077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122033077) 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 11 ways as a sum of consecutive naturals, for example, 143827 + ... + 144672.

It is an arithmetic number, because the mean of its divisors is an integer number (15002000).

Almost surely, 2122035077 is an apocalyptic number.

It is an amenable number.

122035077 is a deficient number, since it is larger than the sum of its proper divisors (57988923).

122035077 is a wasteful number, since it uses less digits than its factorization.

122035077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288552 (or 288549 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 122035077 is about 11046.9487642516. The cubic root of 122035077 is about 496.0150947648.

Adding to 122035077 its reverse (770530221), we get a palindrome (892565298).

The spelling of 122035077 in words is "one hundred twenty-two million, thirty-five thousand, seventy-seven".

Divisors: 1 3 9 47 141 423 288499 865497 2596491 13559453 40678359 122035077