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2301013202031 = 3210117314632183
BaseRepresentation
bin100001011110111111000…
…100110001010001101111
322010222022120021212121100
4201132333010301101233
5300144433334431111
64521023150334143
7325146152335245
oct41367704612157
98128276255540
102301013202031
11807943a68835
12311b507ba353
13138ca52732bb
147d5263b8795
153ecc45c9756
hex217bf13146f

2301013202031 has 24 divisors (see below), whose sum is σ = 3375996021216. Its totient is φ = 1510041182400.

The previous prime is 2301013201967. The next prime is 2301013202069. The reversal of 2301013202031 is 1302023101032.

It is not a de Polignac number, because 2301013202031 - 26 = 2301013201967 is a prime.

It is a super-2 number, since 2×23010132020312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2301013201995 and 2301013202013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301013202071) 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 23 ways as a sum of consecutive naturals, for example, 7158835 + ... + 7473348.

It is an arithmetic number, because the mean of its divisors is an integer number (140666500884).

Almost surely, 22301013202031 is an apocalyptic number.

2301013202031 is a deficient number, since it is larger than the sum of its proper divisors (1074982819185).

2301013202031 is a wasteful number, since it uses less digits than its factorization.

2301013202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14632463 (or 14632460 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2301013202031 its reverse (1302023101032), we get a palindrome (3603036303063).

The spelling of 2301013202031 in words is "two trillion, three hundred one billion, thirteen million, two hundred two thousand, thirty-one".

Divisors: 1 3 9 101 173 303 519 909 1557 17473 52419 157257 14632183 43896549 131689647 1477850483 2531367659 4433551449 7594102977 13300654347 22782308931 255668133559 767004400677 2301013202031