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203200030031 = 17109223617797
BaseRepresentation
bin1011110100111110101…
…0100110010101001111
3201102111100201001110012
42331033222212111033
511312123201430111
6233203201503435
720452325520425
oct2751752462517
9642440631405
10203200030031
11791a4135119
123346b341b7b
131621429b57b
149b990b7115
15544437b48b
hex2f4faa654f

203200030031 has 32 divisors (see below), whose sum is σ = 218728097280. Its totient is φ = 188100734976.

The previous prime is 203200030009. The next prime is 203200030051. The reversal of 203200030031 is 130030002302.

It is a cyclic number.

It is not a de Polignac number, because 203200030031 - 218 = 203199767887 is a prime.

It is a super-2 number, since 2×2032000300312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 203200029988 and 203200030015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203200030051) 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 31 ways as a sum of consecutive naturals, for example, 254955725 + ... + 254956521.

It is an arithmetic number, because the mean of its divisors is an integer number (6835253040).

Almost surely, 2203200030031 is an apocalyptic number.

203200030031 is a deficient number, since it is larger than the sum of its proper divisors (15528067249).

203200030031 is a wasteful number, since it uses less digits than its factorization.

203200030031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763.

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 203200030031 its reverse (130030002302), we get a palindrome (333230032333).

The spelling of 203200030031 in words is "two hundred three billion, two hundred million, thirty thousand, thirty-one".

Divisors: 1 17 109 223 617 797 1853 3791 10489 13549 24307 67253 86873 137591 177731 413219 491749 1143301 1476841 2339047 3021427 8359733 14997419 19372679 53600641 109660027 254956123 329335543 911210897 1864220459 11952942943 203200030031