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20980132200 = 233252371991583
BaseRepresentation
bin10011100010100000…
…110110100101101000
32000011010211010212100
4103202200312211220
5320431403212300
613345501013400
71341623116116
oct234240664550
960133733770
1020980132200
118996812935
124096254260
131c94779911
141030540ab6
1582bd25700
hex4e2836968

20980132200 has 288 divisors, whose sum is σ = 72772128000. Its totient is φ = 5412718080.

The previous prime is 20980132189. The next prime is 20980132207. The reversal of 20980132200 is 223108902.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20980132207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13252609 + ... + 13254191.

It is an arithmetic number, because the mean of its divisors is an integer number (252681000).

Almost surely, 220980132200 is an apocalyptic number.

20980132200 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 20980132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36386064000).

20980132200 is an abundant number, since it is smaller than the sum of its proper divisors (51791995800).

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

20980132200 is a wasteful number, since it uses less digits than its factorization.

20980132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20980132200 in words is "twenty billion, nine hundred eighty million, one hundred thirty-two thousand, two hundred".