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122103424242 = 234953790897
BaseRepresentation
bin111000110110111101…
…1100110010011110010
3102200011121010122010000
41301231323212103302
54000031434033432
6132032112050430
711551556660412
oct1615573462362
9380147118100
10122103424242
1147869221968
121b7b8233a16
13b68bc039b7
145ca4844642
15329999757c
hex1c6dee64f2

122103424242 has 40 divisors (see below), whose sum is σ = 273889559196. Its totient is φ = 40658381568.

The previous prime is 122103424241. The next prime is 122103424271. The reversal of 122103424242 is 242424301221.

It is a happy number.

122103424242 is a `hidden beast` number, since 1 + 2 + 210 + 3 + 424 + 24 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109747100961 + 12356323281 = 331281^2 + 111159^2 .

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 (122103424241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 241063 + ... + 549834.

Almost surely, 2122103424242 is an apocalyptic number.

122103424242 is an abundant number, since it is smaller than the sum of its proper divisors (151786134954).

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

122103424242 is an equidigital number, since it uses as much as digits as its factorization.

122103424242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791864 (or 791855 counting only the distinct ones).

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

Adding to 122103424242 its reverse (242424301221), we get a palindrome (364527725463).

The spelling of 122103424242 in words is "one hundred twenty-two billion, one hundred three million, four hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 953 1906 2859 5718 8577 17154 25731 51462 77193 154386 790897 1581794 2372691 4745382 7118073 14236146 21354219 42708438 64062657 128125314 753724841 1507449682 2261174523 4522349046 6783523569 13567047138 20350570707 40701141414 61051712121 122103424242