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10021131230220 = 2232511175335315913
BaseRepresentation
bin1001000111010011100111…
…1101111001110000001100
31022111000021212100222012200
42101310321331321300030
52303141234043331340
633151351044401500
72053000655005425
oct221647175716014
938430255328180
1010021131230220
113213a35369050
12115a1b46a6290
13578cb0cc9a46
1426904d76264c
15125a15163330
hex91d39f79c0c

10021131230220 has 576 divisors, whose sum is σ = 35877549262464. Its totient is φ = 2236824944640.

The previous prime is 10021131230141. The next prime is 10021131230321. The reversal of 10021131230220 is 2203213112001.

10021131230220 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 3 + 1 + 230 + 220 = 666.

It is a super-2 number, since 2×100211312302202 (a number of 27 digits) contains 22 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 = 10021131230193 and 10021131230202.

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 191 ways as a sum of consecutive naturals, for example, 629736984 + ... + 629752896.

It is an arithmetic number, because the mean of its divisors is an integer number (62287411914).

Almost surely, 210021131230220 is an apocalyptic number.

10021131230220 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 10021131230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17938774631232).

10021131230220 is an abundant number, since it is smaller than the sum of its proper divisors (25856418032244).

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

10021131230220 is a wasteful number, since it uses less digits than its factorization.

10021131230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16362 (or 16357 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10021131230220 its reverse (2203213112001), we get a palindrome (12224344342221).

The spelling of 10021131230220 in words is "ten trillion, twenty-one billion, one hundred thirty-one million, two hundred thirty thousand, two hundred twenty".