Search a number
-
+
122300244441 = 355921314003
BaseRepresentation
bin111000111100110101…
…0011010000111011001
3102200200022111010200000
41301321222122013121
54000432330310231
6132103422403213
711556466632264
oct1617152320731
9380608433600
10122300244441
114795a332891
121b852130509
13b6c091685b
145cc2a39cdb
1532abdc46e6
hex1c79a9a1d9

122300244441 has 48 divisors (see below), whose sum is σ = 186437771520. Its totient is φ = 80093946960.

The previous prime is 122300244427. The next prime is 122300244463. The reversal of 122300244441 is 144442003221.

It is not a de Polignac number, because 122300244441 - 213 = 122300236249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122300243441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30550146 + ... + 30554148.

It is an arithmetic number, because the mean of its divisors is an integer number (3884120240).

Almost surely, 2122300244441 is an apocalyptic number.

It is an amenable number.

122300244441 is a deficient number, since it is larger than the sum of its proper divisors (64137527079).

122300244441 is an equidigital number, since it uses as much as digits as its factorization.

122300244441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6208 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 122300244441 its reverse (144442003221), we get a palindrome (266742247662).

The spelling of 122300244441 in words is "one hundred twenty-two billion, three hundred million, two hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 9 27 59 81 177 243 531 1593 2131 4003 4779 6393 12009 14337 19179 36027 57537 108081 125729 172611 236177 324243 377187 517833 708531 972729 1131561 2125593 3394683 6376779 8530393 10184049 19130337 25591179 30552147 57391011 76773537 230320611 503293187 690961833 1509879561 2072885499 4529638683 13588916049 40766748147 122300244441