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132211231211312 = 241119929347128629
BaseRepresentation
bin11110000011111011010011…
…011110001011111100110000
3122100010021022000122110202122
4132003323103132023330300
5114312122100142230222
61145105000124533412
736563642362656041
oct3603732336137460
9570107260573678
10132211231211312
1139143517308530
12129b35099b1268
1358a0608c27796
1424910b45c88c8
1510441b6a0ba42
hex783ed378bf30

132211231211312 has 80 divisors (see below), whose sum is σ = 280862473056000. Its totient is φ = 59791521841920.

The previous prime is 132211231211299. The next prime is 132211231211321. The reversal of 132211231211312 is 213112132112231.

It is a super-2 number, since 2×1322112312113122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027785014 + ... + 1027913642.

It is an arithmetic number, because the mean of its divisors is an integer number (3510780913200).

Almost surely, 2132211231211312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132211231211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140431236528000).

132211231211312 is an abundant number, since it is smaller than the sum of its proper divisors (148651241844688).

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

132211231211312 is a wasteful number, since it uses less digits than its factorization.

132211231211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158194 (or 158188 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

Adding to 132211231211312 its reverse (213112132112231), we get a palindrome (345323363323543).

The spelling of 132211231211312 in words is "one hundred thirty-two trillion, two hundred eleven billion, two hundred thirty-one million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 199 398 796 1592 2189 3184 4378 8756 17512 29347 35024 58694 117388 128629 234776 257258 322817 469552 514516 645634 1029032 1291268 1414919 2058064 2582536 2829838 5165072 5659676 5840053 11319352 11680106 22638704 23360212 25597171 46720424 51194342 64240583 93440848 102388684 128481166 204777368 256962332 281568881 409554736 513924664 563137762 1027849328 1126275524 2252551048 3774875263 4505102096 7549750526 15099501052 30199002104 41523627893 60398004208 83047255786 166094511572 332189023144 664378046288 751200177337 1502400354674 3004800709348 6009601418696 8263201950707 12019202837392 16526403901414 33052807802828 66105615605656 132211231211312