Search a number
-
+
1120211100112 = 241322273182261
BaseRepresentation
bin10000010011010001110…
…010001110000111010000
310222002110102211000220011
4100103101302032013100
5121323143020200422
62214341243324304
7143634606146446
oct20232162160720
93862412730804
101120211100112
113a2095a64715
12161130520694
1381835125700
143c30b820b96
151e21501a077
hex104d1c8e1d0

1120211100112 has 60 divisors (see below), whose sum is σ = 2351253069324. Its totient is φ = 516790210560.

The previous prime is 1120211100103. The next prime is 1120211100163. The reversal of 1120211100112 is 2110011120211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3545487936 + 1116665612176 = 59544^2 + 1056724^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1120211100092 and 1120211100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6055062 + ... + 6237322.

Almost surely, 21120211100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120211100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175626534662).

1120211100112 is an abundant number, since it is smaller than the sum of its proper divisors (1231041969212).

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

1120211100112 is a wasteful number, since it uses less digits than its factorization.

1120211100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184568 (or 184549 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1120211100112 its reverse (2110011120211), we get a palindrome (3230222220323).

The spelling of 1120211100112 in words is "one trillion, one hundred twenty billion, two hundred eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2273 2704 4546 9092 18184 29549 36368 59098 118196 182261 236392 364522 384137 472784 729044 768274 1458088 1536548 2369393 2916176 3073096 4738786 6146192 9477572 18955144 30802109 37910288 61604218 123208436 246416872 414279253 492833744 828558506 1657117012 3314234024 5385630289 6628468048 10771260578 21542521156 43085042312 70013193757 86170084624 140026387514 280052775028 560105550056 1120211100112