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122300417 = 41832433
BaseRepresentation
bin1110100101000…
…10100000000001
322112010111122002
413102202200001
5222302103132
620045153345
73013351661
oct722424001
9275114562
10122300417
1163043128
1234b5b855
131c451015
14123581a1
15ab0c262
hex74a2801

122300417 has 12 divisors (see below), whose sum is σ = 127103844. Its totient is φ = 117607680.

The previous prime is 122300383. The next prime is 122300441. The reversal of 122300417 is 714003221.

It can be written as a sum of positive squares in 2 ways, for example, as 9431041 + 112869376 = 3071^2 + 10624^2 .

It is not a de Polignac number, because 122300417 - 216 = 122234881 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282233 + ... + 282665.

It is an arithmetic number, because the mean of its divisors is an integer number (10591987).

Almost surely, 2122300417 is an apocalyptic number.

It is an amenable number.

122300417 is a deficient number, since it is larger than the sum of its proper divisors (4803427).

122300417 is an frugal number, since it uses more digits than its factorization.

122300417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 122300417 is about 11058.9518942800. The cubic root of 122300417 is about 496.3743285616.

Adding to 122300417 its reverse (714003221), we get a palindrome (836303638).

The spelling of 122300417 in words is "one hundred twenty-two million, three hundred thousand, four hundred seventeen".

Divisors: 1 41 83 433 3403 6889 17753 35939 282449 1473499 2982937 122300417