Search a number
-
+
20122120032 = 2537232944893
BaseRepresentation
bin10010101111010111…
…110010111101100000
31220221100022121102220
4102233113302331200
5312202230320112
613124410511040
71311434124660
oct225727627540
956840277386
1020122120032
118596459673
123a96a35480
131b88a94801
14d8c5d41a0
157cb83e98c
hex4af5f2f60

20122120032 has 192 divisors, whose sum is σ = 65164538880. Its totient is φ = 5309466624.

The previous prime is 20122120027. The next prime is 20122120033. The reversal of 20122120032 is 23002122102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20122119993 and 20122120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122120033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425778 + ... + 470670.

It is an arithmetic number, because the mean of its divisors is an integer number (339398640).

Almost surely, 220122120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32582269440).

20122120032 is an abundant number, since it is smaller than the sum of its proper divisors (45042418848).

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

20122120032 is a wasteful number, since it uses less digits than its factorization.

20122120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44965 (or 44957 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20122120032 its reverse (23002122102), we get a palindrome (43124242134).

The spelling of 20122120032 in words is "twenty billion, one hundred twenty-two million, one hundred twenty thousand, thirty-two".