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10021012222320 = 24325111669375797
BaseRepresentation
bin1001000111010011001011…
…0111111011000101110000
31022110222222120102202001200
42101310302313323011300
52303141013112103240
633151331153531200
72052665011315551
oct221646267730560
938428876382050
1010021012222320
113213984174710
12115a180873b00
13578c9245c578
1426903ba24328
15125a099a6930
hex91d32dfb170

10021012222320 has 240 divisors, whose sum is σ = 36716028496992. Its totient is φ = 2429158717440.

The previous prime is 10021012222307. The next prime is 10021012222381. The reversal of 10021012222320 is 2322221012001.

10021012222320 is a `hidden beast` number, since 1 + 0 + 0 + 210 + 1 + 222 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×100210122223203 (a number of 40 digits) contains 333 as substring.

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 = 10021012222293 and 10021012222302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132170662 + ... + 132246458.

Almost surely, 210021012222320 is an apocalyptic number.

10021012222320 is a gapful number since it is divisible by the number (10) 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 10021012222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358014248496).

10021012222320 is an abundant number, since it is smaller than the sum of its proper divisors (26695016274672).

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

10021012222320 is a wasteful number, since it uses less digits than its factorization.

10021012222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92520 (or 92511 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10021012222320 its reverse (2322221012001), we get a palindrome (12343233234321).

The spelling of 10021012222320 in words is "ten trillion, twenty-one billion, twelve million, two hundred twenty-two thousand, three hundred twenty".