Search a number
-
+
13233235542120 = 233251110657313571
BaseRepresentation
bin1100000010010001101001…
…0011011100000001101000
31201212002021221022200112100
43000210122103130001220
53213303131244321440
644051133043413400
72534032625114556
oct300443223340150
951762257280470
1013233235542120
114242202523680
121598833984260
1374cb727a3939
1433a6c614cbd6
1517e360804230
hexc091a4dc068

13233235542120 has 192 divisors, whose sum is σ = 46922387279040. Its totient is φ = 3207745843200.

The previous prime is 13233235542119. The next prime is 13233235542139. The reversal of 13233235542120 is 2124553233231.

13233235542120 is a `hidden beast` number, since 1 + 32 + 3 + 32 + 3 + 554 + 21 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 42044935 + ... + 42358505.

It is an arithmetic number, because the mean of its divisors is an integer number (244387433745).

Almost surely, 213233235542120 is an apocalyptic number.

13233235542120 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 13233235542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23461193639520).

13233235542120 is an abundant number, since it is smaller than the sum of its proper divisors (33689151736920).

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

13233235542120 is a wasteful number, since it uses less digits than its factorization.

13233235542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324256 (or 324249 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 13233235542120 its reverse (2124553233231), we get a palindrome (15357788775351).

The spelling of 13233235542120 in words is "thirteen trillion, two hundred thirty-three billion, two hundred thirty-five million, five hundred forty-two thousand, one hundred twenty".