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132311231130 = 235133129573701
BaseRepresentation
bin111101100111001011…
…1010010101010011010
3110122111222220221200210
41323032113102222122
54131433133344010
6140441040511550
712362536623351
oct1731627225232
9418458827623
10132311231130
1151127271301
122178691b5b6
13c62797ca10
14659241c998
153695c02b20
hex1ece5d2a9a

132311231130 has 128 divisors (see below), whose sum is σ = 353219844096. Its totient is φ = 31499136000.

The previous prime is 132311231123. The next prime is 132311231191. The reversal of 132311231130 is 31132113231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132311231097 and 132311231106.

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, 35748280 + ... + 35751980.

It is an arithmetic number, because the mean of its divisors is an integer number (2759530032).

Almost surely, 2132311231130 is an apocalyptic number.

132311231130 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 132311231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176609922048).

132311231130 is an abundant number, since it is smaller than the sum of its proper divisors (220908612966).

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

132311231130 is a wasteful number, since it uses less digits than its factorization.

132311231130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 132311231130 its reverse (31132113231), we get a palindrome (163443344361).

The spelling of 132311231130 in words is "one hundred thirty-two billion, three hundred eleven million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 2957 3701 4030 5914 6045 7402 8871 11103 12090 14785 17742 18505 22206 29570 37010 38441 44355 48113 55515 76882 88710 91667 96226 111030 114731 115323 144339 183334 192205 229462 230646 240565 275001 288678 344193 384410 458335 481130 550002 573655 576615 688386 721695 916670 1147310 1153230 1191671 1375005 1443390 1491503 1720965 2383342 2750010 2983006 3441930 3575013 4474509 5958355 7150026 7457515 8949018 10943857 11916710 14915030 17875065 21887714 22372545 32831571 35750130 44745090 54719285 65663142 109438570 142270141 164157855 284540282 328315710 339259567 426810423 678519134 711350705 853620846 1017778701 1422701410 1696297835 2035557402 2134052115 3392595670 4268104230 4410374371 5088893505 8820748742 10177787010 13231123113 22051871855 26462246226 44103743710 66155615565 132311231130