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11112202102001 = 71113411636316547
BaseRepresentation
bin1010000110110100001011…
…0110111110010011110001
31110100022112110201000201212
42201231002312332103301
52424030242214231001
635344513012005505
72224554504256250
oct241550266762361
943308473630655
1011112202102001
1135a4727434930
1212b5752000895
13627b50c0a2a0
142a5b94dc2797
151440c1c867bb
hexa1b42dbe4f1

11112202102001 has 64 divisors (see below), whose sum is σ = 15285637011456. Its totient is φ = 7796898777600.

The previous prime is 11112202101961. The next prime is 11112202102037. The reversal of 11112202102001 is 10020120221111.

It is a cyclic number.

It is not a de Polignac number, because 11112202102001 - 26 = 11112202101937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11112202102081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 671545610 + ... + 671562156.

It is an arithmetic number, because the mean of its divisors is an integer number (238838078304).

Almost surely, 211112202102001 is an apocalyptic number.

11112202102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11112202102001 is a deficient number, since it is larger than the sum of its proper divisors (4173434909455).

11112202102001 is a wasteful number, since it uses less digits than its factorization.

11112202102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32982.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11112202102001 its reverse (10020120221111), we get a palindrome (21132322323112).

The spelling of 11112202102001 in words is "eleven trillion, one hundred twelve billion, two hundred two million, one hundred two thousand, one".

Divisors: 1 7 11 13 41 77 91 143 287 451 533 1001 3157 3731 5863 16363 16547 41041 114541 115829 179993 182017 212719 215111 670883 678427 1259951 1274119 1489033 1505777 2339909 2366221 4696181 4748989 7379713 7462697 8721479 8819551 16379363 16563547 51657991 52238879 61050353 61736857 95936269 97015061 270758561 671553883 679105427 1895309927 2978344171 3519861293 11101101001 20848409197 24639029051 38718474223 77707707007 122112111011 144314313013 271029319561 854784777077 1010200191091 1587457443143 11112202102001