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101230312000 = 265341595231
BaseRepresentation
bin101111001000111001…
…0111111101001000000
3100200021220200200000211
41132101302333221000
53124304424441000
6114300552523504
710212403311646
oct1362162775100
9320256620024
10101230312000
1139a27965784
12177519b0594
139713687bcc
144c84601196
1529772617ba
hex1791cbfa40

101230312000 has 224 divisors, whose sum is σ = 261214087680. Its totient is φ = 38827520000.

The previous prime is 101230311947. The next prime is 101230312013. The reversal of 101230312000 is 213032101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19349385 + ... + 19354615.

It is an arithmetic number, because the mean of its divisors is an integer number (1166134320).

Almost surely, 2101230312000 is an apocalyptic number.

101230312000 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 101230312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130607043840).

101230312000 is an abundant number, since it is smaller than the sum of its proper divisors (159983775680).

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

101230312000 is an equidigital number, since it uses as much as digits as its factorization.

101230312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5338 counting only the distinct ones).

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

Adding to 101230312000 its reverse (213032101), we get a palindrome (101443344101).

The spelling of 101230312000 in words is "one hundred one billion, two hundred thirty million, three hundred twelve thousand".