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132012220311231 = 313109167185954443
BaseRepresentation
bin11110000001000001111101…
…011111110110011010111111
3122022102020121121112021021120
4132001001331133312122333
5114300342011344424411
61144433324330402023
736543365612144211
oct3601017537663277
9568366547467246
10132012220311231
11390770828a5787
1212980a29590313
1358879117ca340
1424855d5a185b1
15103de1a314106
hex78107d7f66bf

132012220311231 has 32 divisors (see below), whose sum is σ = 192440535006720. Its totient is φ = 80010989668224.

The previous prime is 132012220311221. The next prime is 132012220311239. The reversal of 132012220311231 is 132113022210231.

It is not a de Polignac number, because 132012220311231 - 211 = 132012220309183 is a prime.

It is a super-2 number, since 2×1320122203112312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132012220311239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92267305 + ... + 93687138.

It is an arithmetic number, because the mean of its divisors is an integer number (6013766718960).

Almost surely, 2132012220311231 is an apocalyptic number.

132012220311231 is a deficient number, since it is larger than the sum of its proper divisors (60428314695489).

132012220311231 is a wasteful number, since it uses less digits than its factorization.

132012220311231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185954735.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132012220311231 its reverse (132113022210231), we get a palindrome (264125242521462).

The spelling of 132012220311231 in words is "one hundred thirty-two trillion, twelve billion, two hundred twenty million, three hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 13 39 109 167 327 501 1417 2171 4251 6513 18203 54609 236639 709917 185954443 557863329 2417407759 7252223277 20269034287 31054391981 60807102861 93163175943 263497445731 403707095753 790492337193 1211121287259 3384928725929 10154786177787 44004073437077 132012220311231