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122443125345 = 32517160056373
BaseRepresentation
bin111001000001000101…
…1011101001001100001
3102201001021100020102100
41302002023131021201
54001230420002340
6132125525041013
711563153251552
oct1620213351141
9381037306370
10122443125345
1147a22a52382
121b891b56169
13b7143c2278
145cd79d0329
1532b96e9830
hex1c822dd261

122443125345 has 24 divisors (see below), whose sum is σ = 224719149096. Its totient is φ = 61461646848.

The previous prime is 122443125283. The next prime is 122443125359. The reversal of 122443125345 is 543521344221.

It is a happy number.

122443125345 is a `hidden beast` number, since 12 + 244 + 312 + 53 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9070848081 + 113372277264 = 95241^2 + 336708^2 .

It is not a de Polignac number, because 122443125345 - 28 = 122443125089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80027422 + ... + 80028951.

It is an arithmetic number, because the mean of its divisors is an integer number (9363297879).

Almost surely, 2122443125345 is an apocalyptic number.

122443125345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122443125345 is a deficient number, since it is larger than the sum of its proper divisors (102276023751).

122443125345 is a wasteful number, since it uses less digits than its factorization.

122443125345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160056401 (or 160056398 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 122443125345 its reverse (543521344221), we get a palindrome (665964469566).

The spelling of 122443125345 in words is "one hundred twenty-two billion, four hundred forty-three million, one hundred twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 160056373 480169119 800281865 1440507357 2400845595 2720958341 7202536785 8162875023 13604791705 24488625069 40814375115 122443125345