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21202021100120 = 235731286391303
BaseRepresentation
bin1001101001000011110101…
…11011111010101001011000
32210001220010022020010210012
410310201322323322221120
510234333214400200440
6113032023553541052
74315536563550050
oct464417273725130
983056108203705
1021202021100120
1168347aa1a2603
122465115b74788
13baa45a522b73
1453427cd74560
1526b7a7200e65
hex13487aefaa58

21202021100120 has 192 divisors, whose sum is σ = 56400803573760. Its totient is φ = 7026543486720.

The previous prime is 21202021100101. The next prime is 21202021100177. The reversal of 21202021100120 is 2100112020212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21202021100095 and 21202021100104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232170389 + ... + 232261691.

It is an arithmetic number, because the mean of its divisors is an integer number (293754185280).

Almost surely, 221202021100120 is an apocalyptic number.

21202021100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202021100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200401786880).

21202021100120 is an abundant number, since it is smaller than the sum of its proper divisors (35198782473640).

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

21202021100120 is a wasteful number, since it uses less digits than its factorization.

21202021100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92246 (or 92211 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21202021100120 its reverse (2100112020212), we get a palindrome (23302133120332).

The spelling of 21202021100120 in words is "twenty-one trillion, two hundred two billion, twenty-one million, one hundred thousand, one hundred twenty".