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132232022120 = 2351110315111931
BaseRepresentation
bin111101100100110100…
…1001000100001101000
3110122022110212201100202
41323021221020201220
54131302344201440
6140425131051332
712360555433322
oct1731151104150
9418273781322
10132232022120
1151096590410
12217642a0b48
13c614438693
146585ac0612
15368dca8615
hex1ec9a48868

132232022120 has 128 divisors (see below), whose sum is σ = 328107386880. Its totient is φ = 47561376000.

The previous prime is 132232022059. The next prime is 132232022141. The reversal of 132232022120 is 21220232231.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 132232022092 and 132232022101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68477555 + ... + 68479485.

It is an arithmetic number, because the mean of its divisors is an integer number (2563338960).

Almost surely, 2132232022120 is an apocalyptic number.

132232022120 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 132232022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164053693440).

132232022120 is an abundant number, since it is smaller than the sum of its proper divisors (195875364760).

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

132232022120 is a wasteful number, since it uses less digits than its factorization.

132232022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3563 counting only the distinct ones).

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

Adding to 132232022120 its reverse (21220232231), we get a palindrome (153452254351).

The spelling of 132232022120 in words is "one hundred thirty-two billion, two hundred thirty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 1511 1931 2060 2266 3022 3862 4120 4532 5665 6044 7555 7724 9064 9655 11330 12088 15110 15448 16621 19310 21241 22660 30220 33242 38620 42482 45320 60440 66484 77240 83105 84964 106205 132968 155633 166210 169928 198893 212410 311266 332420 397786 424820 622532 664840 778165 795572 849640 994465 1245064 1556330 1591144 1711963 1988930 2187823 2917741 3112660 3423926 3977860 4375646 5835482 6225320 6847852 7955720 8559815 8751292 10939115 11670964 13695704 14588705 17119630 17502584 21878230 23341928 29177410 32095151 34239260 43756460 58354820 64190302 68478520 87512920 116709640 128380604 160475755 256761208 300527323 320951510 601054646 641903020 1202109292 1283806040 1502636615 2404218584 3005273230 3305800553 6010546460 6611601106 12021092920 13223202212 16529002765 26446404424 33058005530 66116011060 132232022120