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23302023120 = 243252313710271
BaseRepresentation
bin10101101100111010…
…001010011111010000
32020010221212102102100
4111230322022133100
5340210304214440
614412123120400
71453305633315
oct255472123720
966127772370
1023302023120
119978425952
124623973100
132274817a7c
1411b0a6ad0c
15915abd230
hex56ce8a7d0

23302023120 has 240 divisors, whose sum is σ = 82262449152. Its totient is φ = 5899745280.

The previous prime is 23302023113. The next prime is 23302023137. The reversal of 23302023120 is 2132020332.

It is a happy number.

23302023120 is a `hidden beast` number, since 2 + 330 + 20 + 2 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 23302023093 and 23302023102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2263585 + ... + 2273855.

Almost surely, 223302023120 is an apocalyptic number.

23302023120 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 23302023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41131224576).

23302023120 is an abundant number, since it is smaller than the sum of its proper divisors (58960426032).

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

23302023120 is a wasteful number, since it uses less digits than its factorization.

23302023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10450 (or 10441 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23302023120 its reverse (2132020332), we get a palindrome (25434043452).

The spelling of 23302023120 in words is "twenty-three billion, three hundred two million, twenty-three thousand, one hundred twenty".