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220311003031 = 721929103227349
BaseRepresentation
bin1100110100101110001…
…1110001111110010111
3210001122212000112200221
43031023203301332113
512102144104044111
6245113125215211
721626340425200
oct3151343617627
9701585015627
10220311003031
11854848aa419
1236845861507
1317a10277b72
14a93d8025a7
155ae6674371
hex334b8f1f97

220311003031 has 96 divisors (see below), whose sum is σ = 283832640000. Its totient is φ = 169811728128.

The previous prime is 220311003013. The next prime is 220311003037. The reversal of 220311003031 is 130300113022.

It is not a de Polignac number, because 220311003031 - 233 = 211721068439 is a prime.

It is a super-2 number, since 2×2203110030312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220311002996 and 220311003014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220311003037) 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 95 ways as a sum of consecutive naturals, for example, 631263445 + ... + 631263793.

It is an arithmetic number, because the mean of its divisors is an integer number (2956590000).

Almost surely, 2220311003031 is an apocalyptic number.

220311003031 is a deficient number, since it is larger than the sum of its proper divisors (63521636969).

220311003031 is a wasteful number, since it uses less digits than its factorization.

220311003031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 220311003031 its reverse (130300113022), we get a palindrome (350611116053).

The spelling of 220311003031 in words is "two hundred twenty billion, three hundred eleven million, three thousand, thirty-one".

Divisors: 1 7 19 29 49 103 133 203 227 349 551 721 931 1421 1589 1957 2443 2987 3857 4313 5047 6583 6631 10121 11123 13699 17101 20909 23381 26999 30191 35947 46081 46417 56753 70847 79223 95893 125077 146363 163667 192299 211337 251629 322567 324919 397271 444239 495929 554561 678049 682993 875539 1042463 1145669 1346093 1505237 1761403 2297467 2780897 3109673 3881927 4746343 4780951 6128773 7297241 8159969 9422651 10536659 12882931 16082269 19806797 21767711 33224401 33466657 43651873 51080687 57119783 73756613 90180517 112575883 138647579 155039411 236639101 305563111 399838481 631263619 970533053 1085275877 1656473707 2138941777 4496142919 7596931139 11595315949 31473000433 220311003031