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132220122412105 = 57213891709272933
BaseRepresentation
bin11110000100000011100101…
…011011011011010001001001
3122100011010020200000021022201
4132010003211123123101021
5114312243302314141410
61145113030302120201
736564405614636200
oct3604034533332111
9570133220007281
10132220122412105
113914726a148262
12129b518b580061
1358a13c4ca3140
1424916b939c237
15104453739683a
hex7840e56db449

132220122412105 has 96 divisors (see below), whose sum is σ = 201117749968800. Its totient is φ = 82701906997248.

The previous prime is 132220122412093. The next prime is 132220122412123. The reversal of 132220122412105 is 501214221022231.

It can be written as a sum of positive squares in 16 ways, for example, as 103093420101049 + 29126702311056 = 10153493^2 + 5396916^2 .

It is not a de Polignac number, because 132220122412105 - 227 = 132219988194377 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 484305219 + ... + 484578151.

It is an arithmetic number, because the mean of its divisors is an integer number (2094976562175).

Almost surely, 2132220122412105 is an apocalyptic number.

It is an amenable number.

132220122412105 is a deficient number, since it is larger than the sum of its proper divisors (68897627556695).

132220122412105 is a wasteful number, since it uses less digits than its factorization.

132220122412105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274763 (or 274756 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 132220122412105 its reverse (501214221022231), we get a palindrome (633434343434336).

The spelling of 132220122412105 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred twenty-two million, four hundred twelve thousand, one hundred five".

Divisors: 1 5 7 13 35 49 65 89 91 245 445 455 623 637 1157 1709 3115 3185 4361 5785 8099 8545 11963 21805 22217 40495 56693 59815 83741 111085 152101 155519 272933 283465 418705 760505 777595 1064707 1088633 1364665 1910531 1977313 3548129 5323535 5443165 7452949 9552655 9886565 13373717 13841191 17740645 24291037 24836903 37264745 66868585 69205955 96888337 121455185 124184515 170037259 173858321 315783481 466442497 484441685 850186295 869291605 1190260813 1578917405 2210484367 2332212485 3265097479 5951304065 6063752461 11052421835 15473390569 16325487395 22855682353 30318762305 41513382233 42446267227 77366952845 114278411765 207566911165 212231336135 290593675631 297123870589 539673969029 1452968378155 1485619352945 2034155729417 2698369845145 3777717783203 10170778647085 18888588916015 26444024482421 132220122412105