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20122322031 = 32773109137293
BaseRepresentation
bin10010101111011000…
…100100010001101111
31220221100200212112100
4102233120210101233
5312202303301111
613124415110143
71311435625620
oct225730442157
956840625470
1020122322031
118596587409
123a96b12353
131b88b35736
14d8c647a47
157cb87e756
hex4af62446f

20122322031 has 96 divisors (see below), whose sum is σ = 34346632320. Its totient is φ = 11116818432.

The previous prime is 20122322027. The next prime is 20122322069. The reversal of 20122322031 is 13022322102.

It is not a de Polignac number, because 20122322031 - 22 = 20122322027 is a prime.

It is a super-2 number, since 2×201223220312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20122321995 and 20122322013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122322021) 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, 68676721 + ... + 68677013.

It is an arithmetic number, because the mean of its divisors is an integer number (357777420).

Almost surely, 220122322031 is an apocalyptic number.

20122322031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20122322031 is a deficient number, since it is larger than the sum of its proper divisors (14224310289).

20122322031 is a wasteful number, since it uses less digits than its factorization.

20122322031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 622 counting only the distinct ones).

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

Adding to 20122322031 its reverse (13022322102), we get a palindrome (33144644133).

The spelling of 20122322031 in words is "twenty billion, one hundred twenty-two million, three hundred twenty-two thousand, thirty-one".

Divisors: 1 3 7 9 21 63 73 109 137 219 293 327 411 511 657 763 879 959 981 1233 1533 2051 2289 2637 2877 4599 6153 6867 7957 8631 10001 14933 18459 21389 23871 30003 31937 40141 44799 55699 64167 70007 71613 90009 95811 104531 120423 134397 149723 167097 192501 210021 223559 280987 287433 313593 361269 449169 501291 630063 670677 842961 940779 1090109 1347507 2012031 2331401 2528883 2930293 3270327 4375369 6994203 7630763 8790879 9810981 13126107 16319807 20512051 20982609 22892289 26372637 30627583 39378321 48959421 61536153 68676867 91882749 146878263 184608459 275648247 319401937 958205811 2235813559 2874617433 6707440677 20122322031