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201301132431 = 3717669542519
BaseRepresentation
bin1011101101111001111…
…0111000010010001111
3201020121000121001122110
42323132132320102033
511244231042214211
6232250525515103
720354300252010
oct2733636702217
9636530531573
10201301132431
117840a272263
123301b412a93
1315ca0a62719
149a58c19007
1553827d9ea6
hex2ede7b848f

201301132431 has 16 divisors (see below), whose sum is σ = 306762508800. Its totient is φ = 115022496288.

The previous prime is 201301132423. The next prime is 201301132447. The reversal of 201301132431 is 134231103102.

It is not a de Polignac number, because 201301132431 - 23 = 201301132423 is a prime.

It is a super-2 number, since 2×2013011324312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 201301132398 and 201301132407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201301132421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99790 + ... + 642308.

It is an arithmetic number, because the mean of its divisors is an integer number (19172656800).

Almost surely, 2201301132431 is an apocalyptic number.

201301132431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201301132431 is a deficient number, since it is larger than the sum of its proper divisors (105461376369).

201301132431 is a wasteful number, since it uses less digits than its factorization.

201301132431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560198.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 201301132431 its reverse (134231103102), we get a palindrome (335532235533).

The spelling of 201301132431 in words is "two hundred one billion, three hundred one million, one hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 17669 53007 123683 371049 542519 1627557 3797633 11392899 9585768211 28757304633 67100377477 201301132431