Search a number
-
+
1009190919101 = 4127190828091
BaseRepresentation
bin11101010111110000111…
…01110101101110111101
310120110220020202111021012
432223320131311232331
5113013310333402401
62051341011445005
7132624456163361
oct16537035655675
93513806674235
101009190919101
11359aa4a67502
12143707bb6765
1374221473a01
1436bb8d592a1
151b3b85a68bb
hexeaf8775bbd

1009190919101 has 8 divisors (see below), whose sum is σ = 1037620123008. Its totient is φ = 980943372000.

The previous prime is 1009190919059. The next prime is 1009190919103. The reversal of 1009190919101 is 1019190919001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1009190919101 - 210 = 1009190918077 is a prime.

It is a super-2 number, since 2×10091909191012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009190919103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45402935 + ... + 45425156.

It is an arithmetic number, because the mean of its divisors is an integer number (129702515376).

Almost surely, 21009190919101 is an apocalyptic number.

It is an amenable number.

1009190919101 is a deficient number, since it is larger than the sum of its proper divisors (28429203907).

1009190919101 is an equidigital number, since it uses as much as digits as its factorization.

1009190919101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90828403.

The product of its (nonzero) digits is 6561, while the sum is 41.

It can be divided in two parts, 1009190 and 919101, that added together give a palindrome (1928291).

The spelling of 1009190919101 in words is "one trillion, nine billion, one hundred ninety million, nine hundred nineteen thousand, one hundred one".

Divisors: 1 41 271 11111 90828091 3723951731 24614412661 1009190919101