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21112102122012 = 22321153313389197
BaseRepresentation
bin1001100110011100010110…
…10110001111001000011100
32202202022000200210202210200
410303032023112033020130
510231400041120401022
6112522433230103500
74306204400053656
oct463161326171034
982668020722720
1021112102122012
1167aa657290460
12244b80034ab90
13ba1b2a42b145
1452db8cb276d6
1526929302abac
hex13338b58f21c

21112102122012 has 36 divisors (see below), whose sum is σ = 58218221004216. Its totient is φ = 6397606703520.

The previous prime is 21112102122011. The next prime is 21112102122017. The reversal of 21112102122012 is 21022120121112.

21112102122012 is a `hidden beast` number, since 211 + 1 + 210 + 21 + 220 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×211121021220123 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112102122011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26656694203 + ... + 26656694994.

Almost surely, 221112102122012 is an apocalyptic number.

21112102122012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21112102122012 is an abundant number, since it is smaller than the sum of its proper divisors (37106118882204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21112102122012 is a wasteful number, since it uses less digits than its factorization.

21112102122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53313389218 (or 53313389213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112102122012 its reverse (21022120121112), we get a palindrome (42134222243124).

Subtracting from 21112102122012 its reverse (21022120121112), we obtain a square (89982000900 = 2999702).

The spelling of 21112102122012 in words is "twenty-one trillion, one hundred twelve billion, one hundred two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 53313389197 106626778394 159940167591 213253556788 319880335182 479820502773 586447281167 639760670364 959641005546 1172894562334 1759341843501 1919282011092 2345789124668 3518683687002 5278025530503 7037367374004 10556051061006 21112102122012