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23102001120 = 25351143971049
BaseRepresentation
bin10101100000111111…
…001000111111100000
32012122000111020211010
4111200333020333200
5334303103013440
614340220020520
71445326524642
oct254077107740
965560436733
1023102001120
119885528410
124588991740
132242253763
141192280892
1590325c580
hex560fc8fe0

23102001120 has 384 divisors, whose sum is σ = 82148774400. Its totient is φ = 5408686080.

The previous prime is 23102001103. The next prime is 23102001121. The reversal of 23102001120 is 2110020132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23102001096 and 23102001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23102001121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22022356 + ... + 22023404.

It is an arithmetic number, because the mean of its divisors is an integer number (213929100).

Almost surely, 223102001120 is an apocalyptic number.

23102001120 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 23102001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41074387200).

23102001120 is an abundant number, since it is smaller than the sum of its proper divisors (59046773280).

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

23102001120 is a wasteful number, since it uses less digits than its factorization.

23102001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 23102001120 its reverse (2110020132), we get a palindrome (25212021252).

The spelling of 23102001120 in words is "twenty-three billion, one hundred two million, one thousand, one hundred twenty".