Search a number
-
+
20120234000 = 245367150151
BaseRepresentation
bin10010101111010000…
…100110100000010000
31220221012202210021212
4102233100212200100
5312201234442000
613124302235252
71311412111226
oct225720464020
956835683255
1020120234000
118595390669
123a96285b28
131b88584209
14d8c262b16
157cb5bac35
hex4af426810

20120234000 has 80 divisors (see below), whose sum is σ = 49377184896. Its totient is φ = 7927920000.

The previous prime is 20120233997. The next prime is 20120234003. The reversal of 20120234000 is 43202102.

It is an interprime number because it is at equal distance from previous prime (20120233997) and next prime (20120234003).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20120234003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58925 + ... + 209075.

Almost surely, 220120234000 is an apocalyptic number.

20120234000 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 20120234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24688592448).

20120234000 is an abundant number, since it is smaller than the sum of its proper divisors (29256950896).

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

20120234000 is a wasteful number, since it uses less digits than its factorization.

20120234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150241 (or 150225 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20120234000 its reverse (43202102), we get a palindrome (20163436102).

The spelling of 20120234000 in words is "twenty billion, one hundred twenty million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 670 1000 1072 1340 1675 2000 2680 3350 5360 6700 8375 13400 16750 26800 33500 67000 134000 150151 300302 600604 750755 1201208 1501510 2402416 3003020 3753775 6006040 7507550 10060117 12012080 15015100 18768875 20120234 30030200 37537750 40240468 50300585 60060400 75075500 80480936 100601170 150151000 160961872 201202340 251502925 300302000 402404680 503005850 804809360 1006011700 1257514625 2012023400 2515029250 4024046800 5030058500 10060117000 20120234000