Search a number
-
+
122253105 = 35133132003
BaseRepresentation
bin1110100100101…
…10111100110001
322112001002201210
413102112330301
5222244044410
620044150333
73013064022
oct722267461
9275032653
10122253105
1163010627
1234b383a9
131c435620
1412344c49
15aaed220
hex7496f31

122253105 has 32 divisors (see below), whose sum is σ = 211430016. Its totient is φ = 59963904.

The previous prime is 122253083. The next prime is 122253191. The reversal of 122253105 is 501352221.

It is not a de Polignac number, because 122253105 - 28 = 122252849 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60034 + ... + 62036.

It is an arithmetic number, because the mean of its divisors is an integer number (6607188).

Almost surely, 2122253105 is an apocalyptic number.

122253105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122253105 is a deficient number, since it is larger than the sum of its proper divisors (89176911).

122253105 is a wasteful number, since it uses less digits than its factorization.

122253105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337.

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

The square root of 122253105 is about 11056.8126058100. The cubic root of 122253105 is about 496.3103127231.

The spelling of 122253105 in words is "one hundred twenty-two million, two hundred fifty-three thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 195 313 939 1565 2003 4069 4695 6009 10015 12207 20345 26039 30045 61035 78117 130195 390585 626939 1880817 3134695 8150207 9404085 24450621 40751035 122253105