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20010000120 = 233511431672111
BaseRepresentation
bin10010101000101100…
…000101111011111000
31220122112100022211120
4102220230011323320
5311440030000440
613105323425240
71305603123525
oct225054057370
956575308746
1020010000120
11853913a290
123a65385220
131b6b799576
14d7b76a14c
157c1a93dd0
hex4a8b05ef8

20010000120 has 256 divisors, whose sum is σ = 67443425280. Its totient is φ = 4707494400.

The previous prime is 20010000097. The next prime is 20010000133. The reversal of 20010000120 is 2100001002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 20010000099 and 20010000108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9477865 + ... + 9479975.

It is an arithmetic number, because the mean of its divisors is an integer number (263450880).

Almost surely, 220010000120 is an apocalyptic number.

20010000120 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 20010000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33721712640).

20010000120 is an abundant number, since it is smaller than the sum of its proper divisors (47433425160).

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

20010000120 is a wasteful number, since it uses less digits than its factorization.

20010000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20010000120 its reverse (2100001002), we get a palindrome (22110001122).

The spelling of 20010000120 in words is "twenty billion, ten million, one hundred twenty", and thus it is an aban number.