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12220230330301 = 7172329619248723
BaseRepresentation
bin1011000111010011111001…
…1111001110011110111101
31121021020112212022001022111
42301310332133032132331
53100204012431032201
641553521334214021
72400611461643230
oct261647637163675
947236485261274
1012220230330301
113991630493644
1214544424b4311
136a84940300b6
143036687c1417
15162d2245bb51
hexb1d3e7ce7bd

12220230330301 has 64 divisors (see below), whose sum is σ = 15988376678400. Its totient is φ = 9089806150656.

The previous prime is 12220230330293. The next prime is 12220230330317. The reversal of 12220230330301 is 10303303202221.

It is not a de Polignac number, because 12220230330301 - 23 = 12220230330293 is a prime.

It is a super-3 number, since 3×122202303303013 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220230330331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49007526 + ... + 49256248.

It is an arithmetic number, because the mean of its divisors is an integer number (249818385600).

Almost surely, 212220230330301 is an apocalyptic number.

It is an amenable number.

12220230330301 is a deficient number, since it is larger than the sum of its proper divisors (3768146348099).

12220230330301 is a wasteful number, since it uses less digits than its factorization.

12220230330301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249418.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12220230330301 its reverse (10303303202221), we get a palindrome (22523533532522).

The spelling of 12220230330301 in words is "twelve trillion, two hundred twenty billion, two hundred thirty million, three hundred thirty thousand, three hundred one".

Divisors: 1 7 17 23 29 119 161 203 391 493 619 667 2737 3451 4333 4669 10523 11339 14237 17951 73661 79373 99659 125657 242029 248723 305167 412873 1694203 1741061 2136169 2890111 4228291 5720629 7018841 7212967 29598037 40044403 49131887 50490769 97250693 122620439 153959537 165898241 680754851 858343073 1077716759 1161287687 2617312129 2820270097 3541069351 4464826573 18321184903 19741890679 24787485457 31253786011 60198178967 75902051741 102691011179 421387252769 531314362187 718837078253 1745747190043 12220230330301