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21222002012220 = 22325787149809417
BaseRepresentation
bin1001101001101001000011…
…11001000011000000111100
32210010210200210211122100200
410310310201321003000330
510240200130003342340
6113045130402123500
74320144664524102
oct464644171030074
983123623748320
1021222002012220
1168422229745a9
122468b71650590
13bac2c2c76589
145352168cbc72
1526c07644b330
hex134d21e4303c

21222002012220 has 72 divisors (see below), whose sum is σ = 64455202475664. Its totient is φ = 5652009646848.

The previous prime is 21222002012219. The next prime is 21222002012221. The reversal of 21222002012220 is 2221020022212.

21222002012220 is a `hidden beast` number, since 21 + 2 + 220 + 0 + 201 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (21222002012219) and next prime (21222002012221).

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

It is a junction number, because it is equal to n+sod(n) for n = 21222002012193 and 21222002012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222002012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74763049 + ... + 75046368.

Almost surely, 221222002012220 is an apocalyptic number.

21222002012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222002012220 is an abundant number, since it is smaller than the sum of its proper divisors (43233200463444).

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

21222002012220 is a wasteful number, since it uses less digits than its factorization.

21222002012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149810219 (or 149810214 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21222002012220 its reverse (2221020022212), we get a palindrome (23443022034432).

The spelling of 21222002012220 in words is "twenty-one trillion, two hundred twenty-two billion, two million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 787 1574 2361 3148 3935 4722 7083 7870 9444 11805 14166 15740 23610 28332 35415 47220 70830 141660 149809417 299618834 449428251 599237668 749047085 898856502 1348284753 1498094170 1797713004 2247141255 2696569506 2996188340 4494282510 5393139012 6741423765 8988565020 13482847530 26965695060 117900011179 235800022358 353700033537 471600044716 589500055895 707400067074 1061100100611 1179000111790 1414800134148 1768500167685 2122200201222 2358000223580 3537000335370 4244400402444 5305500503055 7074000670740 10611001006110 21222002012220