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213112021005 = 3451343992203
BaseRepresentation
bin1100011001111001110…
…1110110000000001101
3202101002010212100220000
43012132131312000031
511442423134133010
6241522522114513
721253054201332
oct3063635660015
9671063770800
10213112021005
11824201a86a4
123537694ba39
13171339830a0
14a45968a989
1558246527c0
hex319e77600d

213112021005 has 80 divisors (see below), whose sum is σ = 412351040640. Its totient is φ = 104676561792.

The previous prime is 213112020997. The next prime is 213112021069. The reversal of 213112021005 is 500120211312.

213112021005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213112021005 - 23 = 213112020997 is a prime.

It is a super-2 number, since 2×2131120210052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2265234 + ... + 2357436.

It is an arithmetic number, because the mean of its divisors is an integer number (5154388008).

Almost surely, 2213112021005 is an apocalyptic number.

It is an amenable number.

213112021005 is a deficient number, since it is larger than the sum of its proper divisors (199239019635).

213112021005 is a wasteful number, since it uses less digits than its factorization.

213112021005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92672 (or 92663 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 213112021005 its reverse (500120211312), we get a palindrome (713232232317).

The spelling of 213112021005 in words is "two hundred thirteen billion, one hundred twelve million, twenty-one thousand, five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 439 585 1053 1317 1755 2195 3951 5265 5707 6585 11853 17121 19755 28535 35559 51363 59265 85605 92203 154089 177795 256815 276609 461015 462267 770445 829827 1198639 1383045 2311335 2489481 3595917 4149135 5993195 7468443 10787751 12447405 17979585 32363253 37342215 40477117 53938755 97089759 121431351 161816265 202385585 364294053 485448795 526202521 607156755 1092882159 1578607563 1821470265 2631012605 3278646477 4735822689 5464410795 7893037815 14207468067 16393232385 23679113445 42622404201 71037340335 213112021005