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132424022100 = 22352736046759
BaseRepresentation
bin111101101010100010…
…1100011100001010100
3110122210212011022211010
41323111011203201110
54132201022201400
6140500150212220
712365406421116
oct1732505434124
9418725138733
10132424022100
11511849a9887
12217b8654070
13c645151536
1465a33bd3b6
1536a0a82450
hex1ed5163854

132424022100 has 72 divisors (see below), whose sum is σ = 388395488320. Its totient is φ = 34829326080.

The previous prime is 132424022099. The next prime is 132424022123. The reversal of 132424022100 is 1220424231.

It is a super-2 number, since 2×1324240221002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001480 + ... + 3045279.

Almost surely, 2132424022100 is an apocalyptic number.

132424022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132424022100 is an abundant number, since it is smaller than the sum of its proper divisors (255971466220).

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

132424022100 is a wasteful number, since it uses less digits than its factorization.

132424022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046849 (or 6046842 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 132424022100 its reverse (1220424231), we get a palindrome (133644446331).

The spelling of 132424022100 in words is "one hundred thirty-two billion, four hundred twenty-four million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 21900 6046759 12093518 18140277 24187036 30233795 36280554 60467590 72561108 90701385 120935180 151168975 181402770 302337950 362805540 441413407 453506925 604675900 882826814 907013850 1324240221 1765653628 1814027700 2207067035 2648480442 4414134070 5296960884 6621201105 8828268140 11035335175 13242402210 22070670350 26484804420 33106005525 44141340700 66212011050 132424022100