Search a number
-
+
210023101032120 = 233854119518803
BaseRepresentation
bin101111110000001111010000…
…010101001110011010111000
31000112122000100000112100000000
4233300033100111032122320
5210012004302331011440
62022403140341513000
762144445142343025
oct5760172025163270
91015560300470000
10210023101032120
1160a1332a272752
121b67ba73712760
13902612a3bba7c
1439c125ac2054c
1519432b20ec730
hexbf03d054e6b8

210023101032120 has 288 divisors, whose sum is σ = 726079599619920. Its totient is φ = 54640153566720.

The previous prime is 210023101032109. The next prime is 210023101032127. The reversal of 210023101032120 is 21230101320012.

210023101032120 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 2 + 310 + 10 + 321 + 20 = 666.

210023101032120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210023101032093 and 210023101032102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210023101032127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1000639 + ... + 20519441.

Almost surely, 2210023101032120 is an apocalyptic number.

210023101032120 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 210023101032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363039799809960).

210023101032120 is an abundant number, since it is smaller than the sum of its proper divisors (516056498587800).

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

210023101032120 is an equidigital number, since it uses as much as digits as its factorization.

210023101032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19518879 (or 19518854 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 210023101032120 its reverse (21230101320012), we get a palindrome (231253202352132).

The spelling of 210023101032120 in words is "two hundred ten trillion, twenty-three billion, one hundred one million, thirty-two thousand, one hundred twenty".