Search a number
-
+
100110331332 = 223211252803867
BaseRepresentation
bin101110100111100001…
…0100110110111000100
3100120101212020202101100
41131033002212313010
53120011221100312
6113553503500100
710142553530124
oct1351702466704
9316355222340
10100110331332
1139502743720
121749a8b7630
13959562c85b
144bb9980c84
15290dc805dc
hex174f0a6dc4

100110331332 has 36 divisors (see below), whose sum is σ = 276061823856. Its totient is φ = 30336463920.

The previous prime is 100110331331. The next prime is 100110331403. The reversal of 100110331332 is 233133011001.

It is a happy number.

100110331332 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 0 + 331 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100110331331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126401538 + ... + 126402329.

It is an arithmetic number, because the mean of its divisors is an integer number (7668383996).

Almost surely, 2100110331332 is an apocalyptic number.

100110331332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110331332 is an abundant number, since it is smaller than the sum of its proper divisors (175951492524).

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

100110331332 is a wasteful number, since it uses less digits than its factorization.

100110331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252803888 (or 252803883 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100110331332 its reverse (233133011001), we get a palindrome (333243342333).

The spelling of 100110331332 in words is "one hundred billion, one hundred ten million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 252803867 505607734 758411601 1011215468 1516823202 2275234803 2780842537 3033646404 4550469606 5561685074 8342527611 9100939212 11123370148 16685055222 25027582833 33370110444 50055165666 100110331332