Search a number
-
+
11332142444100 = 2235237773808147
BaseRepresentation
bin1010010011100111100001…
…0100110010111001000100
31111010100020111021001020010
42210321320110302321010
52441131211431202400
640033525300510220
72246502024316362
oct244717024627104
944110214231203
1011332142444100
113679a30a881a5
1213302b36ab370
13642802446a4a
142b269b49a632
15149b95ae0450
hexa4e78532e44

11332142444100 has 36 divisors (see below), whose sum is σ = 32787665472464. Its totient is φ = 3021904651680.

The previous prime is 11332142444099. The next prime is 11332142444123. The reversal of 11332142444100 is 144424123311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18886903774 + ... + 18886904373.

Almost surely, 211332142444100 is an apocalyptic number.

11332142444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332142444100 is an abundant number, since it is smaller than the sum of its proper divisors (21455523028364).

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

11332142444100 is a wasteful number, since it uses less digits than its factorization.

11332142444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37773808164 (or 37773808157 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11332142444100 its reverse (144424123311), we get a palindrome (11476566567411).

The spelling of 11332142444100 in words is "eleven trillion, three hundred thirty-two billion, one hundred forty-two million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 37773808147 75547616294 113321424441 151095232588 188869040735 226642848882 377738081470 453285697764 566607122205 755476162940 944345203675 1133214244410 1888690407350 2266428488820 2833035611025 3777380814700 5666071222050 11332142444100