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1100223210132 = 223237825993401
BaseRepresentation
bin10000000000101010011…
…010011110001010010100
310220011212110002000110200
4100000222122132022110
5121011224120211012
62201234025420500
7142326361660644
oct20005232361224
93804773060420
101100223210132
11394669357082
1215929263a730
137c99b0cab87
143b372dac524
151d9453923dc
hex1002a69e294

1100223210132 has 36 divisors (see below), whose sum is σ = 2856285184116. Its totient is φ = 356829148800.

The previous prime is 1100223210109. The next prime is 1100223210133. The reversal of 1100223210132 is 2310123220011.

1100223210132 is a `hidden beast` number, since 1 + 100 + 223 + 210 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 992661512976 + 107561697156 = 996324^2 + 327966^2 .

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

It is a super-2 number, since 2×11002232101322 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100223210133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412995369 + ... + 412998032.

Almost surely, 21100223210132 is an apocalyptic number.

1100223210132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100223210132 is an abundant number, since it is smaller than the sum of its proper divisors (1756061973984).

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

1100223210132 is a wasteful number, since it uses less digits than its factorization.

1100223210132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825993448 (or 825993443 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1100223210132 its reverse (2310123220011), we get a palindrome (3410346430143).

The spelling of 1100223210132 in words is "one trillion, one hundred billion, two hundred twenty-three million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 825993401 1651986802 2477980203 3303973604 4955960406 7433940609 9911920812 14867881218 29735762436 30561755837 61123511674 91685267511 122247023348 183370535022 275055802533 366741070044 550111605066 1100223210132