Search a number
-
+
20010312000 = 263253739703
BaseRepresentation
bin10010101000101101…
…010010000101000000
31220122112221011122200
4102220231102011000
5311440114441000
613105334233200
71305605563020
oct225055220500
956575834580
1020010312000
118539332638
123a654b5800
131b6b878503
14d7b80ba80
157c1b06500
hex4a8b52140

20010312000 has 336 divisors, whose sum is σ = 81808027392. Its totient is φ = 4573670400.

The previous prime is 20010311987. The next prime is 20010312059. The reversal of 20010312000 is 21301002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484149 + ... + 523851.

It is an arithmetic number, because the mean of its divisors is an integer number (243476272).

Almost surely, 220010312000 is an apocalyptic number.

20010312000 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 20010312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40904013696).

20010312000 is an abundant number, since it is smaller than the sum of its proper divisors (61797715392).

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

20010312000 is a wasteful number, since it uses less digits than its factorization.

20010312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39743 (or 39720 counting only the distinct ones).

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

Adding to 20010312000 its reverse (21301002), we get a palindrome (20031613002).

The spelling of 20010312000 in words is "twenty billion, ten million, three hundred twelve thousand".