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11153132430000 = 2435411194737847
BaseRepresentation
bin1010001001001100101001…
…1111110010001010110000
31110111020011222100010022220
42202103022133302022300
52430213103400230000
635415402303001040
72230534006311501
oct242231237621260
943436158303286
1011153132430000
11361002054a090
121301675599180
1362b974944592
142a7b58d62ba8
151451ba28b1a0
hexa24ca7f22b0

11153132430000 has 800 divisors, whose sum is σ = 42224851722240. Its totient is φ = 2506919040000.

The previous prime is 11153132429947. The next prime is 11153132430007. The reversal of 11153132430000 is 3423135111.

It is a super-2 number, since 2×111531324300002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11153132430007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 294671077 + ... + 294708923.

Almost surely, 211153132430000 is an apocalyptic number.

11153132430000 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 11153132430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21112425861120).

11153132430000 is an abundant number, since it is smaller than the sum of its proper divisors (31071719292240).

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

11153132430000 is a wasteful number, since it uses less digits than its factorization.

11153132430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37955 (or 37934 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 11153132430000 its reverse (3423135111), we get a palindrome (11156555565111).

The spelling of 11153132430000 in words is "eleven trillion, one hundred fifty-three billion, one hundred thirty-two million, four hundred thirty thousand".