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220033311031 = 17232697612749
BaseRepresentation
bin1100110011101100000…
…0011110000100110111
3210000221111111022220001
43030323000132010313
512101112011423111
6245025405252131
721616426166422
oct3147300360467
9700844438801
10220033311031
11853520822a6
1236788864047
131799788ab81
14a9149989b9
155acc0c01c1
hex333b01e137

220033311031 has 32 divisors (see below), whose sum is σ = 244419120000. Its totient is φ = 197018849280.

The previous prime is 220033311007. The next prime is 220033311061. The reversal of 220033311031 is 130113330022.

220033311031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220033311031 is a prime.

It is a super-2 number, since 2×2200333110312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220033311061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80039845 + ... + 80042593.

It is an arithmetic number, because the mean of its divisors is an integer number (7638097500).

Almost surely, 2220033311031 is an apocalyptic number.

220033311031 is a deficient number, since it is larger than the sum of its proper divisors (24385808969).

220033311031 is a wasteful number, since it uses less digits than its factorization.

220033311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 220033311031 its reverse (130113330022), we get a palindrome (350146641053).

The spelling of 220033311031 in words is "two hundred twenty billion, thirty-three million, three hundred eleven thousand, thirty-one".

Divisors: 1 17 23 269 391 761 2749 4573 6187 12937 17503 46733 63227 105179 204709 297551 739481 1074859 2091989 3480053 4708307 12571177 17008063 35563813 48115747 80041219 289137071 562745041 817967699 9566665697 12943135943 220033311031