Search a number
-
+
1093114020096 = 2834753151941
BaseRepresentation
bin11111110100000101010…
…11000100000100000000
310212111111222212202010000
433322002223010010000
5120402144142120341
62154100351040000
7141655245602250
oct17720253040400
93774458782100
101093114020096
1139165040440a
12157a29810000
137c1072b4457
143ac9ab4b960
151d67b1aa8b6
hexfe82ac4100

1093114020096 has 720 divisors, whose sum is σ = 3824586678528. Its totient is φ = 304072704000.

The previous prime is 1093114020077. The next prime is 1093114020133. The reversal of 1093114020096 is 6900204113901.

It is a happy number.

1093114020096 is a `hidden beast` number, since 10 + 9 + 311 + 40 + 200 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1093114020096.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1161650986 + ... + 1161651926.

Almost surely, 21093114020096 is an apocalyptic number.

1093114020096 is a gapful number since it is divisible by the number (16) 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 1093114020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912293339264).

1093114020096 is an abundant number, since it is smaller than the sum of its proper divisors (2731472658432).

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

1093114020096 is an equidigital number, since it uses as much as digits as its factorization.

1093114020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 1093114020096 its reverse (6900204113901), we get a palindrome (7993318133997).

The spelling of 1093114020096 in words is "one trillion, ninety-three billion, one hundred fourteen million, twenty thousand, ninety-six".