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201012303100 = 22527319417523
BaseRepresentation
bin1011101100110101000…
…1000101010011111100
3201012211220010000021211
42323031101011103330
511243133122144400
6232202131134204
720344162246000
oct2731521052374
9635756100254
10201012303100
1178281228534
1232b5a744364
1315c55c762ab
149a2c712700
155367285dba
hex2ecd4454fc

201012303100 has 288 divisors, whose sum is σ = 548589888000. Its totient is φ = 63690278400.

The previous prime is 201012303061. The next prime is 201012303127. The reversal of 201012303100 is 1303210102.

It is a super-4 number, since 4×2010123031004 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26715939 + ... + 26723461.

It is an arithmetic number, because the mean of its divisors is an integer number (1904826000).

Almost surely, 2201012303100 is an apocalyptic number.

201012303100 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 201012303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274294944000).

201012303100 is an abundant number, since it is smaller than the sum of its proper divisors (347577584900).

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

201012303100 is a wasteful number, since it uses less digits than its factorization.

201012303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 201012303100 its reverse (1303210102), we get a palindrome (202315513202).

The spelling of 201012303100 in words is "two hundred one billion, twelve million, three hundred three thousand, one hundred".