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122944903225 = 5223230492
BaseRepresentation
bin111001010000000010…
…1100101100000111001
3102202100020112012021021
41302200011211200321
54003242343400400
6132251411542441
711611455302044
oct1624005454071
9382306465237
10122944903225
1148160213541
121b9b1bbaa21
13b79434a661
145d444c9c5b
1532e87b471a
hex1ca0165839

122944903225 has 27 divisors (see below), whose sum is σ = 159420488493. Its totient is φ = 94048722240.

The previous prime is 122944903217. The next prime is 122944903241. The reversal of 122944903225 is 522309449221.

The square root of 122944903225 is 350635.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38373283881 + 84571619344 = 195891^2 + 290812^2 .

It is not a de Polignac number, because 122944903225 - 23 = 122944903217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40321501 + ... + 40324549.

Almost surely, 2122944903225 is an apocalyptic number.

122944903225 is the 350635-th square number.

122944903225 is the 175318-th centered octagonal number.

It is an amenable number.

122944903225 is a deficient number, since it is larger than the sum of its proper divisors (36475585268).

122944903225 is an frugal number, since it uses more digits than its factorization.

122944903225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

It can be divided in two parts, 122944 and 903225, that added together give a square (1026169 = 10132).

The spelling of 122944903225 in words is "one hundred twenty-two billion, nine hundred forty-four million, nine hundred three thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 2645 3049 13225 15245 70127 76225 350635 1612921 1753175 8064605 9296401 40323025 46482005 213817223 232410025 1069086115 4917796129 5345430575 24588980645 122944903225