Search a number
-
+
122220999945 = 325111714524183
BaseRepresentation
bin111000111010011110…
…0000111010100001001
3102200110210101002122200
41301310330013110021
54000302033444240
6132051512110413
711554515233622
oct1616474072411
9380423332580
10122220999945
1147919628270
121b82b695409
13b6aa38c315
145cb62cca49
1532a4e6e930
hex1c74f07509

122220999945 has 48 divisors (see below), whose sum is σ = 244703452032. Its totient is φ = 55772858880.

The previous prime is 122220999863. The next prime is 122220999947. The reversal of 122220999945 is 549999022221.

It is not a de Polignac number, because 122220999945 - 28 = 122220999689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122220999891 and 122220999900.

It is not an unprimeable number, because it can be changed into a prime (122220999947) 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, 7253677 + ... + 7270506.

It is an arithmetic number, because the mean of its divisors is an integer number (5097988584).

Almost surely, 2122220999945 is an apocalyptic number.

122220999945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122220999945 is an abundant number, since it is smaller than the sum of its proper divisors (122482452087).

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

122220999945 is a wasteful number, since it uses less digits than its factorization.

122220999945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14524222 (or 14524219 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 122220999945 in words is "one hundred twenty-two billion, two hundred twenty million, nine hundred ninety-nine thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 14524183 43572549 72620915 130717647 159766013 217862745 246911111 479298039 653588235 740733333 798830065 1234555555 1437894117 2222199999 2396490195 2716022221 3703666665 7189470585 8148066663 11110999995 13580111105 24444199989 40740333315 122220999945