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211112111211021 = 32374745912938081
BaseRepresentation
bin110000000000000101011110…
…011001011000001000001101
31000200111010021000022100022200
4300000011132121120020031
5210132330100432223041
62024555322013232113
762316226630210566
oct6000053631301015
91020433230270280
10211112111211021
11612a3164108469
121b816b36a92639
1390a4a2c3c4807
143a1bc4890716d
15196179cd701b6
hexc0015e65820d

211112111211021 has 48 divisors (see below), whose sum is σ = 319914539363328. Its totient is φ = 133994781619200.

The previous prime is 211112111211013. The next prime is 211112111211061. The reversal of 211112111211021 is 120112111211112.

211112111211021 is a `hidden beast` number, since 211 + 11 + 211 + 1 + 211 + 0 + 21 = 666.

It is not a de Polignac number, because 211112111211021 - 23 = 211112111211013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211112111210985 and 211112111211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112111211061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70384701 + ... + 73322781.

It is an arithmetic number, because the mean of its divisors is an integer number (6664886236736).

Almost surely, 2211112111211021 is an apocalyptic number.

It is an amenable number.

211112111211021 is a deficient number, since it is larger than the sum of its proper divisors (108802428152307).

211112111211021 is a wasteful number, since it uses less digits than its factorization.

211112111211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942762 (or 2942759 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 211112111211021 its reverse (120112111211112), we get a palindrome (331224222422133).

Subtracting from 211112111211021 its reverse (120112111211112), we obtain a palindrome (90999999999909).

The spelling of 211112111211021 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred eleven million, two hundred eleven thousand, twenty-one".

Divisors: 1 3 9 37 47 111 141 333 423 1739 4591 5217 13773 15651 41319 169867 215777 509601 647331 1528803 1941993 2938081 7983749 8814243 23951247 26442729 71853741 108708997 138089807 326126991 414269421 978380973 1242808263 5109322859 13488729871 15327968577 40466189613 45983905731 121398568839 499083005227 633970303937 1497249015681 1901910911811 4491747047043 5705732735433 23456901245669 70370703737007 211112111211021