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132422023100 = 22528985317443
BaseRepresentation
bin111101101010011110…
…1111011011110111100
3110122210201101202201002
41323110331323132330
54132200014214400
6140500035305432
712365353424123
oct1732475733674
9418721352632
10132422023100
1151183863a14
12217b7a4b278
13c6449016b3
1465a301caba
1536a07d9ed5
hex1ed4f7b7bc

132422023100 has 72 divisors (see below), whose sum is σ = 290941847280. Its totient is φ = 52309255680.

The previous prime is 132422023067. The next prime is 132422023103. The reversal of 132422023100 is 1320224231.

132422023100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1324220231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132422023103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7582979 + ... + 7600421.

It is an arithmetic number, because the mean of its divisors is an integer number (4040858990).

Almost surely, 2132422023100 is an apocalyptic number.

132422023100 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 132422023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145470923640).

132422023100 is an abundant number, since it is smaller than the sum of its proper divisors (158519824180).

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

132422023100 is a wasteful number, since it uses less digits than its factorization.

132422023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18399 (or 18392 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132422023100 its reverse (1320224231), we get a palindrome (133742247331).

The spelling of 132422023100 in words is "one hundred thirty-two billion, four hundred twenty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 853 890 1706 1780 2225 3412 4265 4450 8530 8900 17060 17443 21325 34886 42650 69772 75917 85300 87215 151834 174430 303668 348860 379585 436075 759170 872150 1518340 1552427 1744300 1897925 3104854 3795850 6209708 7591700 7762135 14878879 15524270 29757758 31048540 38810675 59515516 74394395 77621350 148788790 155242700 297577580 371971975 743943950 1324220231 1487887900 2648440462 5296880924 6621101155 13242202310 26484404620 33105505775 66211011550 132422023100