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132010322010 = 23577138323117
BaseRepresentation
bin111101011110001101…
…1011010100001011010
3110121202000201011222120
41322330123122201122
54130324120301020
6140351131202110
712352224136320
oct1727433324132
9417660634876
10132010322010
1150a92426886
1221701ba6336
13c5aa524198
14656448dd10
1536795b4740
hex1ebc6da85a

132010322010 has 128 divisors (see below), whose sum is σ = 368159883264. Its totient is φ = 29669848320.

The previous prime is 132010322009. The next prime is 132010322021. The reversal of 132010322010 is 10223010231.

132010322010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5698972 + ... + 5722088.

It is an arithmetic number, because the mean of its divisors is an integer number (2876249088).

Almost surely, 2132010322010 is an apocalyptic number.

132010322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132010322010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184079941632).

132010322010 is an abundant number, since it is smaller than the sum of its proper divisors (236149561254).

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

132010322010 is a wasteful number, since it uses less digits than its factorization.

132010322010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23588.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132010322010 its reverse (10223010231), we get a palindrome (142233332241).

The spelling of 132010322010 in words is "one hundred thirty-two billion, ten million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 383 426 497 710 766 994 1065 1149 1491 1915 2130 2298 2485 2681 2982 3830 4970 5362 5745 7455 8043 11490 13405 14910 16086 23117 26810 27193 40215 46234 54386 69351 80430 81579 115585 135965 138702 161819 163158 190351 231170 271930 323638 346755 380702 407895 485457 571053 693510 809095 815790 951755 970914 1142106 1618190 1641307 1903510 2427285 2855265 3282614 4854570 4923921 5710530 8206535 8853811 9847842 11489149 16413070 17707622 22978298 24619605 26561433 34467447 44269055 49239210 53122866 57445745 61976677 68934894 88538110 114891490 123953354 132807165 172337235 185930031 265614330 309883385 344674470 371860062 619766770 628620581 929650155 1257241162 1859300310 1885861743 3143102905 3771723486 4400344067 6286205810 8800688134 9429308715 13201032201 18858617430 22001720335 26402064402 44003440670 66005161005 132010322010