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211020311005 = 57163247314957
BaseRepresentation
bin1100010010000111001…
…0100110100111011101
3202011200100221111012021
43010201302212213131
511424132144423010
6240535201340141
721150165022420
oct3044162464735
9664610844167
10211020311005
1181547511a49
1234a92337651
1316b8c50866a
14a2db95b9b7
155750bc68da
hex3121ca69dd

211020311005 has 32 divisors (see below), whose sum is σ = 291311956224. Its totient is φ = 143744150016.

The previous prime is 211020310993. The next prime is 211020311023. The reversal of 211020311005 is 500113020112.

211020311005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211020311005 - 215 = 211020278237 is a prime.

It is a super-2 number, since 2×2110203110052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211020311005.

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 31 ways as a sum of consecutive naturals, for example, 14100987 + ... + 14115943.

It is an arithmetic number, because the mean of its divisors is an integer number (9103498632).

Almost surely, 2211020311005 is an apocalyptic number.

It is an amenable number.

211020311005 is a deficient number, since it is larger than the sum of its proper divisors (80291645219).

211020311005 is a wasteful number, since it uses less digits than its factorization.

211020311005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17605.

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 211020311005 its reverse (500113020112), we get a palindrome (711133331117).

The spelling of 211020311005 in words is "two hundred eleven billion, twenty million, three hundred eleven thousand, five".

Divisors: 1 5 7 35 163 815 1141 2473 5705 12365 14957 17311 74785 86555 104699 403099 523495 2015495 2437991 2821693 12189955 14108465 17065937 36988661 85329685 184943305 258920627 1294603135 6029151743 30145758715 42204062201 211020311005