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132101220 = 223517671933
BaseRepresentation
bin1111101111110…
…11010001100100
3100012120102210210
413313323101210
5232304214340
621035215420
73162561516
oct767732144
9305512723
10132101220
1168627669
12382a7570
13214a3004
1413789bb6
15b8e6180
hex7dfb464

132101220 has 96 divisors (see below), whose sum is σ = 397692288. Its totient is φ = 32643072.

The previous prime is 132101197. The next prime is 132101239. The reversal of 132101220 is 22101231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132101196 and 132101205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67374 + ... + 69306.

It is an arithmetic number, because the mean of its divisors is an integer number (4142628).

Almost surely, 2132101220 is an apocalyptic number.

132101220 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 132101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198846144).

132101220 is an abundant number, since it is smaller than the sum of its proper divisors (265591068).

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

132101220 is a wasteful number, since it uses less digits than its factorization.

132101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132101220 is about 11493.5294840184. The cubic root of 132101220 is about 509.2944492045.

Adding to 132101220 its reverse (22101231), we get a palindrome (154202451).

The spelling of 132101220 in words is "one hundred thirty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 67 68 85 102 134 170 201 204 255 268 335 340 402 510 670 804 1005 1020 1139 1340 1933 2010 2278 3417 3866 4020 4556 5695 5799 6834 7732 9665 11390 11598 13668 17085 19330 22780 23196 28995 32861 34170 38660 57990 65722 68340 98583 115980 129511 131444 164305 197166 259022 328610 388533 394332 492915 518044 647555 657220 777066 985830 1295110 1554132 1942665 1971660 2201687 2590220 3885330 4403374 6605061 7770660 8806748 11008435 13210122 22016870 26420244 33025305 44033740 66050610 132101220