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11212020100113 = 372434493950497
BaseRepresentation
bin1010001100101000000001…
…1110011010110000010001
31110200212011221212201022220
42203022000132122300101
52432144204121200423
635502421514051253
72235020211251100
oct243120036326021
943625157781286
1011212020100113
113632a9a060248
121310b6aa19b29
1363439aac48b1
142aa943bc8037
151469b501e9e3
hexa328079ac11

11212020100113 has 48 divisors (see below), whose sum is σ = 17834128171200. Its totient is φ = 6243932749824.

The previous prime is 11212020100111. The next prime is 11212020100123. The reversal of 11212020100113 is 31100102021211.

It is not a de Polignac number, because 11212020100113 - 21 = 11212020100111 is a prime.

It is a super-2 number, since 2×112120201001132 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11212020100092 and 11212020100101.

It is not an unprimeable number, because it can be changed into a prime (11212020100111) 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, 862881 + ... + 4813377.

It is an arithmetic number, because the mean of its divisors is an integer number (371544336900).

Almost surely, 211212020100113 is an apocalyptic number.

It is an amenable number.

11212020100113 is a deficient number, since it is larger than the sum of its proper divisors (6622108071087).

11212020100113 is a wasteful number, since it uses less digits than its factorization.

11212020100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951006 (or 3950999 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11212020100113 its reverse (31100102021211), we get a palindrome (42312122121324).

The spelling of 11212020100113 in words is "eleven trillion, two hundred twelve billion, twenty million, one hundred thousand, one hundred thirteen".

Divisors: 1 3 7 21 43 49 129 147 301 449 903 1347 2107 3143 6321 9429 19307 22001 57921 66003 135149 405447 946043 2838129 3950497 11851491 27653479 82960437 169871371 193574353 509614113 580723059 1189099597 1773773153 3567298791 5321319459 8323697179 12416412071 24971091537 37249236213 76272245579 86914884497 228816736737 260744653491 533905719053 1601717157159 3737340033371 11212020100113