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211420214005 = 572111316273709
BaseRepresentation
bin1100010011100110100…
…0000111001011110101
3202012201020102122222111
43010321220013023311
511430442033322010
6241043004531021
721163122111400
oct3047150071365
9665636378874
10211420214005
1181732220aa0
1234b84250a71
1316c24314a60
14a338ad8d37
155775d6b58a
hex3139a072f5

211420214005 has 96 divisors (see below), whose sum is σ = 347027345280. Its totient is φ = 121548833280.

The previous prime is 211420213981. The next prime is 211420214021. The reversal of 211420214005 is 500412024112.

211420214005 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 211420214005 - 221 = 211418116853 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 57000091 + ... + 57003799.

It is an arithmetic number, because the mean of its divisors is an integer number (3614868180).

Almost surely, 2211420214005 is an apocalyptic number.

It is an amenable number.

211420214005 is a deficient number, since it is larger than the sum of its proper divisors (135607131275).

211420214005 is a wasteful number, since it uses less digits than its factorization.

211420214005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 211420214005 its reverse (500412024112), we get a palindrome (711832238117).

The spelling of 211420214005 in words is "two hundred eleven billion, four hundred twenty million, two hundred fourteen thousand, five".

Divisors: 1 5 7 11 13 35 49 55 65 77 91 143 245 385 455 539 637 715 1001 1627 2695 3185 3709 5005 7007 8135 11389 17897 18545 21151 25963 35035 40799 48217 56945 79723 89485 105755 125279 129815 148057 181741 203995 232661 241085 285593 337519 398615 530387 626395 740285 876953 908705 1036399 1163305 1427965 1628627 1687595 1999151 2362633 2651935 3712709 4384765 5181995 6034543 8143135 9995755 11400389 11813165 18563545 25988963 30172715 42241801 57001945 66379973 78449059 129944815 211209005 295692607 331899865 392245295 464659811 549143413 862939649 1478463035 2323299055 2745717065 3252618677 3844003891 4314698245 6040577543 16263093385 19220019455 30202887715 42284042801 211420214005