Search a number
-
+
1102112012120 = 2357217101327491
BaseRepresentation
bin10000000010011010111…
…111101011011101011000
310220100202002012002200212
4100002122333223131120
5121024111133341440
62202145301150252
7142424235351200
oct20023277533530
93810662162625
101102112012120
11395448553a59
1215971b0bb388
137cc0c5107a2
143b4b1b9d400
151da060dc465
hex1009afeb758

1102112012120 has 192 divisors, whose sum is σ = 3084542350560. Its totient is φ = 352117248000.

The previous prime is 1102112012117. The next prime is 1102112012129. The reversal of 1102112012120 is 212102112011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1102112012095 and 1102112012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102112012129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3201575 + ... + 3529065.

Almost surely, 21102112012120 is an apocalyptic number.

1102112012120 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 1102112012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542271175280).

1102112012120 is an abundant number, since it is smaller than the sum of its proper divisors (1982430338440).

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

1102112012120 is a wasteful number, since it uses less digits than its factorization.

1102112012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327634 (or 327623 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1102112012120 its reverse (212102112011), we get a palindrome (1314214124131).

The spelling of 1102112012120 in words is "one trillion, one hundred two billion, one hundred twelve million, twelve thousand, one hundred twenty".