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22100200102020 = 22353779761165589
BaseRepresentation
bin1010000011001100110101…
…00100111001100010000100
32220020202110221110221020110
411001212122210321202010
510344042202211231040
6115000405231033020
74440454363236165
oct501463244714204
986222427427213
1022100200102020
117050707896597
12258b20036b770
13c440699493b1
1456592657976c
15284d24927980
hex14199a939884

22100200102020 has 192 divisors, whose sum is σ = 64442435097600. Its totient is φ = 5654048624640.

The previous prime is 22100200101997. The next prime is 22100200102033. The reversal of 22100200102020 is 2020100200122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22100200101987 and 22100200102005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133381386 + ... + 133546974.

It is an arithmetic number, because the mean of its divisors is an integer number (335637682800).

Almost surely, 222100200102020 is an apocalyptic number.

22100200102020 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 22100200102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32221217548800).

22100200102020 is an abundant number, since it is smaller than the sum of its proper divisors (42342234995580).

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

22100200102020 is a wasteful number, since it uses less digits than its factorization.

22100200102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166478 (or 166476 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22100200102020 its reverse (2020100200122), we get a palindrome (24120300302142).

The spelling of 22100200102020 in words is "twenty-two trillion, one hundred billion, two hundred million, one hundred two thousand, twenty".