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23213310120 = 2332571113371741
BaseRepresentation
bin10101100111100111…
…110000000010101000
32012220202221100001200
4111213213300002220
5340020101410440
614355233444200
71451150610660
oct254747600250
965822840050
1023213310120
119932343520
1245ba110660
13225c326880
1411a2d771a0
1590cde7c30
hex5679f00a8

23213310120 has 768 divisors, whose sum is σ = 104091886080. Its totient is φ = 4329676800.

The previous prime is 23213310079. The next prime is 23213310121. The reversal of 23213310120 is 2101331232.

23213310120 is a `hidden beast` number, since 2 + 321 + 331 + 0 + 12 + 0 = 666.

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 = 23213310093 and 23213310102.

It is not an unprimeable number, because it can be changed into a prime (23213310121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13332450 + ... + 13334190.

It is an arithmetic number, because the mean of its divisors is an integer number (135536310).

Almost surely, 223213310120 is an apocalyptic number.

23213310120 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 23213310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52045943040).

23213310120 is an abundant number, since it is smaller than the sum of its proper divisors (80878575960).

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

23213310120 is a wasteful number, since it uses less digits than its factorization.

23213310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23213310120 its reverse (2101331232), we get a palindrome (25314641352).

It can be divided in two parts, 23213 and 310120, that added together give a palindrome (333333).

The spelling of 23213310120 in words is "twenty-three billion, two hundred thirteen million, three hundred ten thousand, one hundred twenty".