Search a number
-
+
1042022411001 = 3211131111972817
BaseRepresentation
bin11110010100111010110…
…00000010101011111001
310200121122100000002022200
433022131120002223321
5114033030214123001
62114410512340413
7135166200231555
oct17123530025371
93617570002280
101042022411001
11371a12538290
12149b4b244709
13773543410b0
1438611464865
151c18aa8b086
hexf29d602af9

1042022411001 has 48 divisors (see below), whose sum is σ = 1768463773440. Its totient is φ = 582889167360.

The previous prime is 1042022410999. The next prime is 1042022411021. The reversal of 1042022411001 is 1001142202401.

1042022411001 is a `hidden beast` number, since 1 + 0 + 420 + 2 + 241 + 1 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 1042022411001 - 21 = 1042022410999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1042022411021) 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, 14273745 + ... + 14346561.

It is an arithmetic number, because the mean of its divisors is an integer number (36842995280).

Almost surely, 21042022411001 is an apocalyptic number.

1042022411001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1042022411001 is a deficient number, since it is larger than the sum of its proper divisors (726441362439).

1042022411001 is a wasteful number, since it uses less digits than its factorization.

1042022411001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83966 (or 83963 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1042022411001 its reverse (1001142202401), we get a palindrome (2043164613402).

The spelling of 1042022411001 in words is "one trillion, forty-two billion, twenty-two million, four hundred eleven thousand, one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 11119 33357 72817 100071 122309 144547 218451 366927 433641 655353 800987 946621 1100781 1300923 1590017 2402961 2839863 4770051 7208883 8519589 10412831 14310153 31238493 93715479 809652223 2428956669 7286870007 8906174453 10525478899 26718523359 31576436697 80155570077 94729310091 115780267889 347340803667 1042022411001