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132010210031100 = 223521912872380209
BaseRepresentation
bin11110000001000000000101…
…101011001111010111111100
3122022102001102111211110100220
4132001000011223033113330
5114300323402231443400
61144432353035221340
736543265032065202
oct3601000553172774
9568361374743326
10132010210031100
1139076241077545
12129805682a7850
135887681193a7b
142485484a45072
15103dd4dac07a0
hex781005acf5fc

132010210031100 has 144 divisors (see below), whose sum is σ = 383967431178240. Its totient is φ = 35016759475200.

The previous prime is 132010210031099. The next prime is 132010210031153. The reversal of 132010210031100 is 1130012010231.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132010210031100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1645787796 + ... + 1645868004.

Almost surely, 2132010210031100 is an apocalyptic number.

132010210031100 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 132010210031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191983715589120).

132010210031100 is an abundant number, since it is smaller than the sum of its proper divisors (251957221147140).

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

132010210031100 is a wasteful number, since it uses less digits than its factorization.

132010210031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109140 (or 109133 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132010210031100 its reverse (1130012010231), we get a palindrome (133140222041331).

The spelling of 132010210031100 in words is "one hundred thirty-two trillion, ten billion, two hundred ten million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 382 573 764 955 1146 1910 2292 2865 3820 4775 5730 9550 11460 14325 19100 28650 28723 57300 57446 80209 86169 114892 143615 160418 172338 240627 287230 320836 344676 401045 430845 481254 574460 718075 802090 861690 962508 1203135 1436150 1604180 1723380 2005225 2154225 2406270 2872300 4010450 4308450 4812540 5486093 6015675 8020900 8616900 10972186 12031350 15319919 16458279 21944372 24062700 27430465 30639838 32916558 45959757 54860930 61279676 65833116 76599595 82291395 91919514 109721860 137152325 153199190 164582790 183839028 229798785 274304650 306398380 329165580 382997975 411456975 459597570 548609300 765995950 822913950 919195140 1148993925 1531991900 1645827900 2297987850 2303843107 4595975700 4607686214 6911529321 9215372428 11519215535 13823058642 23038431070 27646117284 34557646605 46076862140 57596077675 69115293210 115192155350 138230586420 172788233025 230384310700 345576466050 440034033437 691152932100 880068066874 1320102100311 1760136133748 2200170167185 2640204200622 4400340334370 5280408401244 6600510501555 8800680668740 11000850835925 13201021003110 22001701671850 26402042006220 33002552507775 44003403343700 66005105015550 132010210031100