Search a number
-
+
1112102001120 = 253511432748677
BaseRepresentation
bin10000001011101110011…
…100011101100111100000
310221022112022010010022110
4100023232130131213200
5121210041103013440
62210520445235320
7143226632016435
oct20135634354740
93838468103273
101112102001120
11399704650610
1215b648862b40
1380b42104396
143bb7c877b8c
151dddd16e080
hex102ee71d9e0

1112102001120 has 192 divisors, whose sum is σ = 3822548599296. Its totient is φ = 269532641280.

The previous prime is 1112102001089. The next prime is 1112102001163. The reversal of 1112102001120 is 211002012111.

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 = 1112102001096 and 1112102001105.

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, 22822222 + ... + 22870898.

It is an arithmetic number, because the mean of its divisors is an integer number (19909107288).

Almost surely, 21112102001120 is an apocalyptic number.

1112102001120 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 1112102001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911274299648).

1112102001120 is an abundant number, since it is smaller than the sum of its proper divisors (2710446598176).

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

1112102001120 is a wasteful number, since it uses less digits than its factorization.

1112102001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53033 (or 53025 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1112102001120 its reverse (211002012111), we get a palindrome (1323104013231).

The spelling of 1112102001120 in words is "one trillion, one hundred twelve billion, one hundred two million, one thousand, one hundred twenty".