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20221212102 = 23721337142993
BaseRepresentation
bin10010110101010001…
…110011010111000110
31221012020210000012120
4102311101303113012
5312403112241402
613142310430410
71314046316100
oct226521632706
957166700176
1020221212102
11863738aa43
123b04062406
131ba347ac80
14d9b82a570
157d53b53bc
hex4b54735c6

20221212102 has 96 divisors (see below), whose sum is σ = 52033800672. Its totient is φ = 5188893696.

The previous prime is 20221212101. The next prime is 20221212113. The reversal of 20221212102 is 20121212202.

It is a super-3 number, since 3×202212121023 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221212101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69918 + ... + 212910.

It is an arithmetic number, because the mean of its divisors is an integer number (542018757).

Almost surely, 220221212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26016900336).

20221212102 is an abundant number, since it is smaller than the sum of its proper divisors (31812588570).

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

20221212102 is a wasteful number, since it uses less digits than its factorization.

20221212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143062 (or 143055 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20221212102 its reverse (20121212202), we get a palindrome (40342424304).

It can be divided in two parts, 20 and 221212102, that added together give a palindrome (221212122).

The spelling of 20221212102 in words is "twenty billion, two hundred twenty-one million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 49 74 78 91 98 111 147 182 222 259 273 294 481 518 546 637 777 962 1274 1443 1554 1813 1911 2886 3367 3626 3822 5439 6734 10101 10878 20202 23569 47138 70707 141414 142993 285986 428979 857958 1000951 1858909 2001902 3002853 3717818 5290741 5576727 6005706 7006657 10581482 11153454 13012363 14013314 15872223 21019971 26024726 31744446 37035187 39037089 42039942 68779633 74070374 78074178 91086541 111105561 137559266 182173082 206338899 222211122 259246309 273259623 412677798 481457431 518492618 546519246 777738927 962914862 1444372293 1555477854 2888744586 3370202017 6740404034 10110606051 20221212102