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132311213141211 = 3213291371261322567
BaseRepresentation
bin11110000101011000011010…
…110110111110110011011011
3122100110211100221021202111100
4132011120122312332303123
5114320241331031004321
61145222533204402443
736604112130234036
oct3605303266766333
9570424327252440
10132311213141211
1139181963521265
1212a0a9716a6423
1358a9b80a7b350
142495c7b0a401d
151046ab9377326
hex78561adbecdb

132311213141211 has 96 divisors (see below), whose sum is σ = 214495225176960. Its totient is φ = 78031145428992.

The previous prime is 132311213141209. The next prime is 132311213141221. The reversal of 132311213141211 is 112141312113231.

132311213141211 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 112 + 131 + 412 + 1 + 1 = 666.

It is not a de Polignac number, because 132311213141211 - 21 = 132311213141209 is a prime.

It is a super-3 number, since 3×1323112131412113 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132311213141221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5863028250 + ... + 5863050816.

It is an arithmetic number, because the mean of its divisors is an integer number (2234325262260).

Almost surely, 2132311213141211 is an apocalyptic number.

132311213141211 is a deficient number, since it is larger than the sum of its proper divisors (82184012035749).

132311213141211 is a wasteful number, since it uses less digits than its factorization.

132311213141211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35365 (or 35362 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 132311213141211 its reverse (112141312113231), we get a palindrome (244452525254442).

The spelling of 132311213141211 in words is "one hundred thirty-two trillion, three hundred eleven billion, two hundred thirteen million, one hundred forty-one thousand, two hundred eleven".

Divisors: 1 3 9 13 29 39 87 117 137 261 377 411 1131 1233 1781 3393 3973 5343 11919 12613 16029 22567 35757 37839 51649 67701 113517 154947 163969 203103 293371 365777 464841 491907 654443 880113 1097331 1475721 1727981 1963329 2640339 3091679 3291993 4755101 5183943 5889987 8507759 9275037 14265303 15551829 22463753 25523277 27825111 40191827 42795909 50111449 67391259 76569831 89658691 120575481 150334347 202173777 268976073 284637571 361726443 451003041 651448837 806928219 853912713 1165562983 1954346511 2561738139 3496688949 3700288423 5863039533 8254489559 10490066847 11100865269 24763468677 33302595807 38995347227 74290406031 107308364267 116986041681 321925092801 350958125043 506939513951 965775278403 1130865069583 1520818541853 3392595208749 4562455625559 10177785626247 14701245904579 44103737713737 132311213141211