Search a number
-
+
11320100001120 = 2535172715119067
BaseRepresentation
bin1010010010111010101010…
…0010100001010101100000
31111002012011020021120001110
42210232222202201111200
52440432031100013440
640024214313303320
72245564426251231
oct244565242412540
944065136246043
1011320100001120
113674911377589
121329ab2704b40
13641633571741
142b1c77d91088
151496dd789080
hexa4baa8a1560

11320100001120 has 192 divisors, whose sum is σ = 37895190875136. Its totient is φ = 2830638735360.

The previous prime is 11320100001113. The next prime is 11320100001167. The reversal of 11320100001120 is 2110000102311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11320100001096 and 11320100001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348174 + ... + 4770893.

It is an arithmetic number, because the mean of its divisors is an integer number (197370785808).

Almost surely, 211320100001120 is an apocalyptic number.

11320100001120 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 11320100001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18947595437568).

11320100001120 is an abundant number, since it is smaller than the sum of its proper divisors (26575090874016).

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

11320100001120 is a wasteful number, since it uses less digits than its factorization.

11320100001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119373 (or 5119365 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11320100001120 its reverse (2110000102311), we get a palindrome (13430100103431).

The spelling of 11320100001120 in words is "eleven trillion, three hundred twenty billion, one hundred million, one thousand, one hundred twenty".