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22142214130311 = 32111931137850521
BaseRepresentation
bin1010000100011011000101…
…10011101100101010000111
32220101202220222021201011100
411002031202303230222013
510400234223304132221
6115031554233311143
74443502464466452
oct502154263545207
986352828251140
1022142214130311
1170675076a2920
1225973868654b3
13c48004048272
14567990414499
15285e83143926
hex142362ceca87

22142214130311 has 48 divisors (see below), whose sum is σ = 36845212135680. Its totient is φ = 12672354096000.

The previous prime is 22142214130277. The next prime is 22142214130327. The reversal of 22142214130311 is 11303141224122.

22142214130311 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 214 + 130 + 311 = 666.

It is not a de Polignac number, because 22142214130311 - 215 = 22142214097543 is a prime.

It is a super-2 number, since 2×221422141303112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142214130711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18340270 + ... + 19510251.

It is an arithmetic number, because the mean of its divisors is an integer number (767608586160).

Almost surely, 222142214130311 is an apocalyptic number.

22142214130311 is a deficient number, since it is larger than the sum of its proper divisors (14702998005369).

22142214130311 is a wasteful number, since it uses less digits than its factorization.

22142214130311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37850868 (or 37850865 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 22142214130311 its reverse (11303141224122), we get a palindrome (33445355354433).

The spelling of 22142214130311 in words is "twenty-two trillion, one hundred forty-two billion, two hundred fourteen million, one hundred thirty thousand, three hundred eleven".

Divisors: 1 3 9 11 19 33 57 99 171 209 311 627 933 1881 2799 3421 5909 10263 17727 30789 53181 64999 194997 584991 37850521 113551563 340654689 416355731 719159899 1249067193 2157479697 3747201579 6472439091 7910758889 11771512031 23732276667 35314536093 71196830001 105943608279 129486632341 223658728589 388459897023 670976185767 1165379691069 2012928557301 2460246014479 7380738043437 22142214130311