Search a number
-
+
11112131130120 = 233251722313196173
BaseRepresentation
bin1010000110110011111010…
…1000001111001100001000
31110100022100112011021121200
42201230332220033030020
52424030121032130440
635344501554504200
72224552653104166
oct241547650171410
943308315137550
1011112131130120
1135a46a036a689
1212b5732295060
13627b3c2bb2a7
142a5b897ca236
151440ba917c30
hexa1b3ea0f308

11112131130120 has 384 divisors, whose sum is σ = 38445626419200. Its totient is φ = 2773866258432.

The previous prime is 11112131130091. The next prime is 11112131130203. The reversal of 11112131130120 is 2103113121111.

11112131130120 is a `hidden beast` number, since 1 + 1 + 11 + 21 + 311 + 301 + 20 = 666.

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 = 11112131130093 and 11112131130102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1800115354 + ... + 1800121526.

It is an arithmetic number, because the mean of its divisors is an integer number (100118818800).

Almost surely, 211112131130120 is an apocalyptic number.

11112131130120 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 11112131130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19222813209600).

11112131130120 is an abundant number, since it is smaller than the sum of its proper divisors (27333495289080).

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

11112131130120 is a wasteful number, since it uses less digits than its factorization.

11112131130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7749 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11112131130120 its reverse (2103113121111), we get a palindrome (13215244251231).

The spelling of 11112131130120 in words is "eleven trillion, one hundred twelve billion, one hundred thirty-one million, one hundred thirty thousand, one hundred twenty".