Search a number
-
+
22021403240031 = 3138934918178789
BaseRepresentation
bin1010000000111010000011…
…11010101110011001011111
32212222020002110021121022120
411000131001322232121133
510341244313212140111
6114500254252514023
74431664621042446
oct500350172563137
985866073247276
1022021403240031
117020252039948
122577a8b47b913
13c397bcb67180
14561bad509d5d
15282c61db4406
hex140741eae65f

22021403240031 has 32 divisors (see below), whose sum is σ = 32067385560000. Its totient is φ = 13360972889088.

The previous prime is 22021403239973. The next prime is 22021403240041. The reversal of 22021403240031 is 13004230412022.

It is a happy number.

It is not a de Polignac number, because 22021403240031 - 27 = 22021403239903 is a prime.

It is a super-2 number, since 2×220214032400312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22021403239983 and 22021403240010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021403240041) 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 31 ways as a sum of consecutive naturals, for example, 7878016 + ... + 10300773.

It is an arithmetic number, because the mean of its divisors is an integer number (1002105798750).

Almost surely, 222021403240031 is an apocalyptic number.

22021403240031 is a deficient number, since it is larger than the sum of its proper divisors (10045982319969).

22021403240031 is a wasteful number, since it uses less digits than its factorization.

22021403240031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18179243.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22021403240031 its reverse (13004230412022), we get a palindrome (35025633652053).

The spelling of 22021403240031 in words is "twenty-two trillion, twenty-one billion, four hundred three million, two hundred forty thousand, thirty-one".

Divisors: 1 3 13 39 89 267 349 1047 1157 3471 4537 13611 31061 93183 403793 1211379 18178789 54536367 236324257 708972771 1617912221 4853736663 6344397361 19033192083 21032858873 63098576619 82477165693 247431497079 564651365129 1693954095387 7340467746677 22021403240031