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20010120000 = 2635413101127
BaseRepresentation
bin10010101000101100…
…100011001101000000
31220122112120102021120
4102220230203031000
5311440042320000
613105330152240
71305604133163
oct225054431500
956575512246
1020010120000
118539211362
123a65422680
131b6b80bcc0
14d7b79bada
157c1ab96a0
hex4a8b23340

20010120000 has 560 divisors, whose sum is σ = 72519186432. Its totient is φ = 4838400000.

The previous prime is 20010119999. The next prime is 20010120023. The reversal of 20010120000 is 2101002.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157559937 + ... + 157560063.

Almost surely, 220010120000 is an apocalyptic number.

20010120000 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 20010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36259593216).

20010120000 is an abundant number, since it is smaller than the sum of its proper divisors (52509066432).

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

20010120000 is a wasteful number, since it uses less digits than its factorization.

20010120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

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

Adding to 20010120000 its reverse (2101002), we get a palindrome (20012221002).

The spelling of 20010120000 in words is "twenty billion, ten million, one hundred twenty thousand".