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1132233322100 = 2252163412916823
BaseRepresentation
bin10000011110011110010…
…111010110111001110100
311000020111021202012002012
4100132132113112321310
5122022303212301400
62224050225303352
7144541540305356
oct20363627267164
94006437665065
101132233322100
113a71a5213a71
12163526794b58
13829cca6ab2a
143cb2c3850d6
151e6ba6c9d35
hex1079e5d6e74

1132233322100 has 72 divisors (see below), whose sum is σ = 2472765274560. Its totient is φ = 449979079680.

The previous prime is 1132233322097. The next prime is 1132233322109. The reversal of 1132233322100 is 12233322311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132233322109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67294289 + ... + 67311111.

Almost surely, 21132233322100 is an apocalyptic number.

1132233322100 is a gapful number since it is divisible by the number (10) 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 1132233322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236382637280).

1132233322100 is an abundant number, since it is smaller than the sum of its proper divisors (1340531952460).

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

1132233322100 is a wasteful number, since it uses less digits than its factorization.

1132233322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21129 (or 21122 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1132233322100 its reverse (12233322311), we get a palindrome (1144466644411).

The spelling of 1132233322100 in words is "one trillion, one hundred thirty-two billion, two hundred thirty-three million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 4129 8150 8258 16300 16516 16823 20645 33646 41290 67292 82580 84115 103225 168230 206450 336460 412900 420575 673027 841150 1346054 1682300 2692108 2742149 3365135 5484298 6730270 10968596 13460540 13710745 16825675 27421490 33651350 54842980 67302700 68553725 69462167 137107450 138924334 274214900 277848668 347310835 694621670 1389243340 1736554175 3473108350 6946216700 11322333221 22644666442 45289332884 56611666105 113223332210 226446664420 283058330525 566116661050 1132233322100