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21131130311442 = 23253127239972701
BaseRepresentation
bin1001100110111111110011…
…00001000001001100010010
32202211010010210200221120100
410303133321201001030102
510232203023324431232
6112535301322153230
74310450052024624
oct463377141011422
982733123627510
1021131130311442
11680773119a848
122453430952816
13ba3870688728
14530a75d1cc14
15269a087d2c7c
hex1337f9841312

21131130311442 has 96 divisors (see below), whose sum is σ = 47035518566400. Its totient is φ = 6853441795200.

The previous prime is 21131130311399. The next prime is 21131130311513. The reversal of 21131130311442 is 24411303113112.

21131130311442 is a `hidden beast` number, since 2 + 1 + 1 + 311 + 30 + 311 + 4 + 4 + 2 = 666.

It is a super-2 number, since 2×211311303114422 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290621692 + ... + 290694392.

It is an arithmetic number, because the mean of its divisors is an integer number (489953318400).

Almost surely, 221131130311442 is an apocalyptic number.

21131130311442 is an abundant number, since it is smaller than the sum of its proper divisors (25904388254958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21131130311442 is a wasteful number, since it uses less digits than its factorization.

21131130311442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75288 (or 75285 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 21131130311442 its reverse (24411303113112), we get a palindrome (45542433424554).

The spelling of 21131130311442 in words is "twenty-one trillion, one hundred thirty-one billion, one hundred thirty million, three hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 53 106 127 159 254 318 381 477 762 954 1143 2286 2399 4798 6731 7197 13462 14394 20193 21591 40386 43182 60579 72701 121158 127147 145402 218103 254294 304673 381441 436206 609346 654309 762882 914019 1144323 1308618 1828038 2288646 2742057 3853153 5484114 7706306 9233027 11559459 16147669 18466054 23118918 27699081 32295338 34678377 48443007 55398162 69356754 83097243 96886014 145329021 166194486 174409699 290658042 348819398 489350431 523229097 978700862 1046458194 1468051293 1569687291 2936102586 3139374582 4404153879 8808307758 9243714047 18487428094 22150031773 27731142141 44300063546 55462284282 66450095319 83193426423 132900190638 166386852846 199350285957 398700571914 1173951683969 2347903367938 3521855051907 7043710103814 10565565155721 21131130311442