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132313232322210 = 235294328211125371
BaseRepresentation
bin11110000101011010010011…
…001101100010111010100010
3122100111000120122201210002210
4132011122103031202322202
5114320304444433302320
61145223505414422550
736604213146054102
oct3605322315427242
9570430518653083
10132313232322210
11391827aa279895
1212a0b235961a56
1358aa1131b00c4
142495dcd313202
151046b867780e0
hex785693362ea2

132313232322210 has 128 divisors (see below), whose sum is σ = 336155991874560. Its totient is φ = 33273157881600.

The previous prime is 132313232322127. The next prime is 132313232322217. The reversal of 132313232322210 is 12223232313231.

It is a super-2 number, since 2×1323132323222102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132313232322217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1055310825 + ... + 1055436195.

It is an arithmetic number, because the mean of its divisors is an integer number (2626218686520).

Almost surely, 2132313232322210 is an apocalyptic number.

132313232322210 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 132313232322210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168077995937280).

132313232322210 is an abundant number, since it is smaller than the sum of its proper divisors (203842759552350).

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

132313232322210 is a wasteful number, since it uses less digits than its factorization.

132313232322210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153664.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 132313232322210 its reverse (12223232313231), we get a palindrome (144536464635441).

The spelling of 132313232322210 in words is "one hundred thirty-two trillion, three hundred thirteen billion, two hundred thirty-two million, three hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 43 58 86 87 129 145 174 215 258 290 430 435 645 870 1247 1290 2494 3741 6235 7482 12470 18705 28211 37410 56422 84633 125371 141055 169266 250742 282110 376113 423165 626855 752226 818119 846330 1213073 1253710 1636238 1880565 2426146 2454357 3635759 3639219 3761130 4090595 4908714 5390953 6065365 7271518 7278438 8181190 10781906 10907277 12130730 12271785 16172859 18178795 18196095 21814554 24543570 26954765 32345718 35179117 36357590 36392190 53909530 54536385 70358234 80864295 105537351 109072770 156337637 161728590 175895585 211074702 312675274 351791170 469012911 527686755 781688185 938025822 1055373510 1563376370 2345064555 3536841281 4690129110 7073682562 10610523843 17684206405 21221047686 35368412810 53052619215 102568397149 106105238430 152084175083 205136794298 304168350166 307705191447 456252525249 512841985745 615410382894 760420875415 912505050498 1025683971490 1520841750830 1538525957235 2281262626245 3077051914470 4410441077407 4562525252490 8820882154814 13231323232221 22052205387035 26462646464442 44104410774070 66156616161105 132313232322210