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20003100120 = 23335109367463
BaseRepresentation
bin10010101000010001…
…110001010111011000
31220122001100202211000
4102220101301113120
5311431243200440
613104515505000
71305460355103
oct225021612730
956561322730
1020003100120
118535257203
123a62bb8160
131b6a221a23
14d7a89173a
157c117e730
hex4a84715d8

20003100120 has 256 divisors, whose sum is σ = 67617792000. Its totient is φ = 5259437568.

The previous prime is 20003100107. The next prime is 20003100137. The reversal of 20003100120 is 2100130002.

It is a happy number.

20003100120 is a nontrivial binomial coefficient, being equal to C(200016, 2).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43203009 + ... + 43203471.

It is an arithmetic number, because the mean of its divisors is an integer number (264132000).

Almost surely, 220003100120 is an apocalyptic number.

20003100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20003100120 is the 200015-th triangular number and also the 100008-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20003100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33808896000).

20003100120 is an abundant number, since it is smaller than the sum of its proper divisors (47614691880).

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

20003100120 is a wasteful number, since it uses less digits than its factorization.

20003100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20003100120 its reverse (2100130002), we get a palindrome (22103230122).

The spelling of 20003100120 in words is "twenty billion, three million, one hundred thousand, one hundred twenty".