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11223201132 = 2233111359109113
BaseRepresentation
bin10100111001111010…
…00111010101101100
31001222011102200122000
422130331013111230
5140441114414012
65053400052300
7545056431003
oct123475072554
931864380560
1011223201132
11483a228140
122212764090
13109b246120
147867b1c3a
1545a47cddc
hex29cf4756c

11223201132 has 384 divisors, whose sum is σ = 35392896000. Its totient is φ = 3030773760.

The previous prime is 11223201097. The next prime is 11223201137. The reversal of 11223201132 is 23110232211.

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 (11223201137) 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 127 ways as a sum of consecutive naturals, for example, 99320308 + ... + 99320420.

It is an arithmetic number, because the mean of its divisors is an integer number (92169000).

Almost surely, 211223201132 is an apocalyptic number.

11223201132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11223201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696448000).

11223201132 is an abundant number, since it is smaller than the sum of its proper divisors (24169694868).

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

11223201132 is a wasteful number, since it uses less digits than its factorization.

11223201132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

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

Adding to 11223201132 its reverse (23110232211), we get a palindrome (34333433343).

The spelling of 11223201132 in words is "eleven billion, two hundred twenty-three million, two hundred one thousand, one hundred thirty-two".