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20021202230031 = 327310713715713241
BaseRepresentation
bin1001000110101100011001…
…01001011001101100001111
32121220000020000012101110200
410203112030221121230033
510111011410232330111
6110325340251304543
74134325025012412
oct443261451315417
977800200171420
1020021202230031
116419a427862a2
1222b42b014b153
13b22cb6a83b92
144d3062093b79
1524abe642d256
hex12358ca59b0f

20021202230031 has 96 divisors (see below), whose sum is σ = 29997743300928. Its totient is φ = 12862965473280.

The previous prime is 20021202230021. The next prime is 20021202230039. The reversal of 20021202230031 is 13003220212002.

20021202230031 is a `hidden beast` number, since 200 + 2 + 1 + 202 + 230 + 0 + 31 = 666.

It is not a de Polignac number, because 20021202230031 - 223 = 20021193841423 is a prime.

It is a super-2 number, since 2×200212022300312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20021202229986 and 20021202230013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021202230039) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1512054571 + ... + 1512067811.

It is an arithmetic number, because the mean of its divisors is an integer number (312476492718).

Almost surely, 220021202230031 is an apocalyptic number.

20021202230031 is a deficient number, since it is larger than the sum of its proper divisors (9976541070897).

20021202230031 is a wasteful number, since it uses less digits than its factorization.

20021202230031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13721 (or 13718 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20021202230031 its reverse (13003220212002), we get a palindrome (33024422442033).

The spelling of 20021202230031 in words is "twenty trillion, twenty-one billion, two hundred two million, two hundred thirty thousand, thirty-one".

Divisors: 1 3 9 73 107 137 157 219 321 411 471 657 963 1233 1413 7811 10001 11461 13241 14659 16799 21509 23433 30003 34383 39723 43977 50397 64527 70299 90009 103149 119169 131931 151191 193581 966593 1070107 1226327 1416787 1570157 1814017 2078837 2301463 2899779 3210321 3678981 4250361 4710471 5442051 6236511 6904389 8699337 9630963 11036943 12751083 14131413 16326153 18709533 20713167 103425451 132423241 151755101 168006799 194099819 222435559 284800669 310276353 397269723 455265303 504020397 582299457 667306677 854402007 930829059 1191809169 1365795909 1512061191 1746898371 2001920031 2563206021 14169286787 16237795807 20790448837 30473671583 42507860361 48713387421 62371346511 91421014749 127523581083 146140162263 187114039533 274263044247 2224578025559 6673734076677 20021202230031