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120523401 = 32101132589
BaseRepresentation
bin1110010111100…
…00101010001001
322101210020000200
413023300222021
5221323222101
615543122413
72662301115
oct713605211
9271706020
10120523401
116203a019
1234443409
131bc7b22b
1412014745
15a8aa986
hex72f0a89

120523401 has 12 divisors (see below), whose sum is σ = 175814340. Its totient is φ = 79552800.

The previous prime is 120523397. The next prime is 120523457. The reversal of 120523401 is 104325021.

It can be written as a sum of positive squares in 2 ways, for example, as 97713225 + 22810176 = 9885^2 + 4776^2 .

It is not a de Polignac number, because 120523401 - 22 = 120523397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120523471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65386 + ... + 67203.

It is an arithmetic number, because the mean of its divisors is an integer number (14651195).

Almost surely, 2120523401 is an apocalyptic number.

It is an amenable number.

120523401 is a deficient number, since it is larger than the sum of its proper divisors (55290939).

120523401 is a wasteful number, since it uses less digits than its factorization.

120523401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132696 (or 132693 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120523401 is about 10978.3150346490. The cubic root of 120523401 is about 493.9584958055.

Adding to 120523401 its reverse (104325021), we get a palindrome (224848422).

The spelling of 120523401 in words is "one hundred twenty million, five hundred twenty-three thousand, four hundred one".

Divisors: 1 3 9 101 303 909 132589 397767 1193301 13391489 40174467 120523401