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100212300000 = 253255111347
BaseRepresentation
bin101110101010100011…
…1100101100011100000
3100120122222010022002200
41131111013211203200
53120213322100000
6114011545213200
710145232331641
oct1352507454340
9316588108080
10100212300000
113955525a24a
1217508a91200
1395b07b2447
144bc93256c8
152917bc3500
hex17551e58e0

100212300000 has 216 divisors, whose sum is σ = 356203810872. Its totient is φ = 26723040000.

The previous prime is 100212299977. The next prime is 100212300007. The reversal of 100212300000 is 3212001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212300007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 844327 + ... + 955673.

It is an arithmetic number, because the mean of its divisors is an integer number (1649091717).

Almost surely, 2100212300000 is an apocalyptic number.

100212300000 is a gapful number since it is divisible by the number (10) 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 100212300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178101905436).

100212300000 is an abundant number, since it is smaller than the sum of its proper divisors (255991510872).

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

100212300000 is an equidigital number, since it uses as much as digits as its factorization.

100212300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111388 (or 111357 counting only the distinct ones).

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

Adding to 100212300000 its reverse (3212001), we get a palindrome (100215512001).

The spelling of 100212300000 in words is "one hundred billion, two hundred twelve million, three hundred thousand".