Search a number
-
+
120233203203300 = 22352111741321716249
BaseRepresentation
bin11011010101100111111001…
…010111011111110011100100
3120202201011220122202012200020
4123111213321113133303210
5111224400100010001200
61103414212050515140
734216363600541145
oct3325477127376344
9522634818665606
10120233203203300
113534568480a4a0
121159a000595ab0
135211c336317b5
142199464b79acc
15dd781ca35ea0
hex6d59f95dfce4

120233203203300 has 576 divisors, whose sum is σ = 411777082080000. Its totient is φ = 26753826816000.

The previous prime is 120233203203299. The next prime is 120233203203301. The reversal of 120233203203300 is 3302302332021.

It is an interprime number because it is at equal distance from previous prime (120233203203299) and next prime (120233203203301).

It is a super-2 number, since 2×1202332032033002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120233203203301) 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, 7399413576 + ... + 7399429824.

It is an arithmetic number, because the mean of its divisors is an integer number (714890767500).

Almost surely, 2120233203203300 is an apocalyptic number.

120233203203300 is a gapful number since it is divisible by the number (10) 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 120233203203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205888541040000).

120233203203300 is an abundant number, since it is smaller than the sum of its proper divisors (291543878876700).

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

120233203203300 is a wasteful number, since it uses less digits than its factorization.

120233203203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19552 (or 19545 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 120233203203300 its reverse (3302302332021), we get a palindrome (123535505535321).

The spelling of 120233203203300 in words is "one hundred twenty trillion, two hundred thirty-three billion, two hundred three million, two hundred three thousand, three hundred".