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122052315 = 35711105673
BaseRepresentation
bin1110100011001…
…01111011011011
322111122220022010
413101211323123
5222221133230
620040001003
73011266440
oct721457333
9274586263
10122052315
1162993790
1234a60163
131c395108
14122d19c7
15aaad9b0
hex7465edb

122052315 has 32 divisors (see below), whose sum is σ = 243472896. Its totient is φ = 50722560.

The previous prime is 122052313. The next prime is 122052349. The reversal of 122052315 is 513250221.

It is not a de Polignac number, because 122052315 - 21 = 122052313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122052291 and 122052300.

It is not an unprimeable number, because it can be changed into a prime (122052311) 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 31 ways as a sum of consecutive naturals, for example, 51682 + ... + 53991.

It is an arithmetic number, because the mean of its divisors is an integer number (7608528).

Almost surely, 2122052315 is an apocalyptic number.

122052315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122052315 is a deficient number, since it is larger than the sum of its proper divisors (121420581).

122052315 is a wasteful number, since it uses less digits than its factorization.

122052315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105699.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 122052315 is about 11047.7289521422. The cubic root of 122052315 is about 496.0384484481.

It can be divided in two parts, 1220 and 52315, that added together give a palindrome (53535).

The spelling of 122052315 in words is "one hundred twenty-two million, fifty-two thousand, three hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 105673 317019 528365 739711 1162403 1585095 2219133 3487209 3698555 5812015 8136821 11095665 17436045 24410463 40684105 122052315