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10020222132120 = 233251013136171427
BaseRepresentation
bin1001000111010000001111…
…0001111101111110011000
31022110220221111202000001200
42101310003301331332120
52303132403331211440
633151120531314200
72052636305544564
oct221640361757630
938426844660050
1010020222132120
113213609192202
121159ba014b960
13578b97869185
14268da4b186a4
151259b043ac30
hex91d03c7df98

10020222132120 has 384 divisors, whose sum is σ = 33069860591040. Its totient is φ = 2631031603200.

The previous prime is 10020222132071. The next prime is 10020222132121. The reversal of 10020222132120 is 2123122202001.

10020222132120 is a `hidden beast` number, since 100 + 2 + 0 + 2 + 221 + 321 + 20 = 666.

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 = 10020222132093 and 10020222132102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020222132121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7021878847 + ... + 7021880273.

Almost surely, 210020222132120 is an apocalyptic number.

10020222132120 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 10020222132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534930295520).

10020222132120 is an abundant number, since it is smaller than the sum of its proper divisors (23049638458920).

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

10020222132120 is a wasteful number, since it uses less digits than its factorization.

10020222132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2468 counting only the distinct ones).

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

Adding to 10020222132120 its reverse (2123122202001), we get a palindrome (12143344334121).

The spelling of 10020222132120 in words is "ten trillion, twenty billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred twenty".