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21155211311416 = 23713317113202797
BaseRepresentation
bin1001100111101100101001…
…10110101111100100111000
32202220102022001100111100021
410303312110312233210320
510233101333043431131
6112554323033420224
74312261600114630
oct463662466574470
982812261314307
1021155211311416
1168169692a7516
12245803156a674
13ba5c0a6a5340
14531cbc2016c0
1526a467973e11
hex133d94daf938

21155211311416 has 128 divisors (see below), whose sum is σ = 51104334274560. Its totient is φ = 7985051020800.

The previous prime is 21155211311407. The next prime is 21155211311441. The reversal of 21155211311416 is 61411311255112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4999071 + ... + 8203726.

It is an arithmetic number, because the mean of its divisors is an integer number (399252611520).

Almost surely, 221155211311416 is an apocalyptic number.

21155211311416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21155211311416 is an abundant number, since it is smaller than the sum of its proper divisors (29949122963144).

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

21155211311416 is a wasteful number, since it uses less digits than its factorization.

21155211311416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13202925 (or 13202921 counting only the distinct ones).

The product of its digits is 7200, while the sum is 34.

Adding to 21155211311416 its reverse (61411311255112), we get a palindrome (82566522566528).

The spelling of 21155211311416 in words is "twenty-one trillion, one hundred fifty-five billion, two hundred eleven million, three hundred eleven thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 71 91 104 124 142 182 217 248 284 364 403 434 497 568 728 806 868 923 994 1612 1736 1846 1988 2201 2821 3224 3692 3976 4402 5642 6461 7384 8804 11284 12922 15407 17608 22568 25844 28613 30814 51688 57226 61628 114452 123256 200291 228904 400582 801164 1602328 13202797 26405594 52811188 92419579 105622376 171636361 184839158 343272722 369678316 409286707 686545444 739356632 818573414 937398587 1201454527 1373090888 1637146828 1874797174 2402909054 2865006949 3274293656 3749594348 4805818108 5320727191 5730013898 6561790109 7499188696 9611636216 10641454382 11460027796 12186181631 13123580218 21282908764 22920055592 24372363262 26247160436 29059356197 37245090337 42565817528 48744726524 52494320872 58118712394 74490180674 85303271417 97489453048 116237424788 148980361348 170606542834 203415493379 232474849576 297960722696 341213085668 377771630561 406830986758 682426171336 755543261122 813661973516 1511086522244 1627323947032 2644401413927 3022173044488 5288802827854 10577605655708 21155211311416