Search a number
-
+
1109181234420 = 2233573110193719
BaseRepresentation
bin10000001001000000010…
…110100111110011110100
310221000222202011210122000
4100021000112213303310
5121133100344000140
62205314551135300
7143064354634560
oct20110026476364
93830882153560
101109181234420
11398445988336
1215ab72674530
1380797c7226c
143b9829b86a0
151dcbba2ba30
hex102405a7cf4

1109181234420 has 384 divisors, whose sum is σ = 4111323955200. Its totient is φ = 242917056000.

The previous prime is 1109181234409. The next prime is 1109181234431. The reversal of 1109181234420 is 244321819011.

1109181234420 is a `hidden beast` number, since 1 + 1 + 0 + 91 + 8 + 123 + 442 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1109181234409) and next prime (1109181234431).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11788321 + ... + 11882039.

It is an arithmetic number, because the mean of its divisors is an integer number (10706572800).

Almost surely, 21109181234420 is an apocalyptic number.

1109181234420 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 1109181234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055661977600).

1109181234420 is an abundant number, since it is smaller than the sum of its proper divisors (3002142720780).

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

1109181234420 is a wasteful number, since it uses less digits than its factorization.

1109181234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93876 (or 93868 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1109181234420 in words is "one trillion, one hundred nine billion, one hundred eighty-one million, two hundred thirty-four thousand, four hundred twenty".