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200123010000 = 24325419373163
BaseRepresentation
bin1011101001100001000…
…0101100101111010000
3201010112220202020111100
42322120100230233100
511234322442310000
6231534002344400
720313143342514
oct2723020545720
9633486666440
10200123010000
1177965249461
123295095b100
1315b4395b164
149986582144
155314171a00
hex2e9842cbd0

200123010000 has 600 divisors, whose sum is σ = 756843607520. Its totient is φ = 49175424000.

The previous prime is 200123009993. The next prime is 200123010029. The reversal of 200123010000 is 10321002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63268419 + ... + 63271581.

Almost surely, 2200123010000 is an apocalyptic number.

200123010000 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 200123010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378421803760).

200123010000 is an abundant number, since it is smaller than the sum of its proper divisors (556720597520).

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

200123010000 is a wasteful number, since it uses less digits than its factorization.

200123010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3229 counting only the distinct ones).

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

Adding to 200123010000 its reverse (10321002), we get a palindrome (200133331002).

The spelling of 200123010000 in words is "two hundred billion, one hundred twenty-three million, ten thousand".