Search a number
-
+
211112002221093 = 32173221428381561
BaseRepresentation
bin110000000000000101010111…
…111001100111010000100101
31000200111002222102020002020200
4300000011113321213100211
5210132324340032033333
62024555303121221113
762316224134623651
oct6000052771472045
91020432872202220
10211112002221093
11612a3108636746
121b816b06491799
1390a4a1295412c
143a1bc38255a61
1519617934e1c13
hexc00157e67425

211112002221093 has 24 divisors (see below), whose sum is σ = 322977421906776. Its totient is φ = 132421307827200.

The previous prime is 211112002221079. The next prime is 211112002221097. The reversal of 211112002221093 is 390122200211112.

211112002221093 is a `hidden beast` number, since 21 + 111 + 200 + 222 + 109 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20791712202849 + 190320290018244 = 4559793^2 + 13795662^2 .

It is not a de Polignac number, because 211112002221093 - 210 = 211112002220069 is a prime.

It is a super-2 number, since 2×2111120022210932 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112002221097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213697968 + ... + 214683593.

It is an arithmetic number, because the mean of its divisors is an integer number (13457392579449).

Almost surely, 2211112002221093 is an apocalyptic number.

It is an amenable number.

211112002221093 is a deficient number, since it is larger than the sum of its proper divisors (111865419685683).

211112002221093 is a wasteful number, since it uses less digits than its factorization.

211112002221093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428384805 (or 428384802 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 211112002221093 in words is "two hundred eleven trillion, one hundred twelve billion, two million, two hundred twenty-one thousand, ninety-three".

Divisors: 1 3 9 17 51 153 3221 9663 28989 54757 164271 492813 428381561 1285144683 3855434049 7282486537 21847459611 65542378833 1379817007981 4139451023943 12418353071829 23456889135677 70370667407031 211112002221093