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20002120200 = 23325223835821
BaseRepresentation
bin10010101000001110…
…000010001000001000
31220121222111222121200
4102220032002020020
5311431020321300
613104442504200
71305446134146
oct225016021010
956558458550
1020002120200
118534747a57
123a62805060
131b69c6a9aa
14d7a6b8596
157c1039200
hex4a8382208

20002120200 has 288 divisors, whose sum is σ = 70951083840. Its totient is φ = 5039654400.

The previous prime is 20002120141. The next prime is 20002120261. The reversal of 20002120200 is 202120002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3433290 + ... + 3439110.

It is an arithmetic number, because the mean of its divisors is an integer number (246357930).

Almost surely, 220002120200 is an apocalyptic number.

20002120200 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 20002120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35475541920).

20002120200 is an abundant number, since it is smaller than the sum of its proper divisors (50948963640).

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

20002120200 is a wasteful number, since it uses less digits than its factorization.

20002120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20002120200 its reverse (202120002), we get a palindrome (20204240202).

The spelling of 20002120200 in words is "twenty billion, two million, one hundred twenty thousand, two hundred".