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120131401 = 13173371613
BaseRepresentation
bin1110010100100…
…00111101001001
322101001022022011
413022100331021
5221223201101
615530455521
72656046215
oct712207511
9271038264
10120131401
11618a1555
12342945a1
131bb71990
1411d51945
15a82e751
hex7290f49

120131401 has 16 divisors (see below), whose sum is σ = 137474064. Its totient is φ = 103993344.

The previous prime is 120131393. The next prime is 120131413. The reversal of 120131401 is 104131021.

It can be written as a sum of positive squares in 8 ways, for example, as 1299600 + 118831801 = 1140^2 + 10901^2 .

It is not a de Polignac number, because 120131401 - 23 = 120131393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (120131441) 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 15 ways as a sum of consecutive naturals, for example, 73671 + ... + 75283.

It is an arithmetic number, because the mean of its divisors is an integer number (8592129).

Almost surely, 2120131401 is an apocalyptic number.

It is an amenable number.

120131401 is a deficient number, since it is larger than the sum of its proper divisors (17342663).

120131401 is a wasteful number, since it uses less digits than its factorization.

120131401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 120131401 is about 10960.4471167923. The cubic root of 120131401 is about 493.4223840444.

Adding to 120131401 its reverse (104131021), we get a palindrome (224262422).

The spelling of 120131401 in words is "one hundred twenty million, one hundred thirty-one thousand, four hundred one".

Divisors: 1 13 17 221 337 1613 4381 5729 20969 27421 74477 356473 543581 7066553 9240877 120131401