Search a number
-
+
132241331220045 = 35314359112096949
BaseRepresentation
bin11110000100010111010101…
…100100100110111001001101
3122100020010222202010100022220
4132010113111210212321031
5114313120221243020140
61145130455012325553
736566056315554405
oct3604272544467115
9570203882110286
10132241331220045
1139155262a49603
12129b930a3138b9
1358a33c4c37338
14249272c027805
151044d792dcbd0
hex7845d5926e4d

132241331220045 has 64 divisors (see below), whose sum is σ = 227278808064000. Its totient is φ = 65536359678720.

The previous prime is 132241331219951. The next prime is 132241331220083. The reversal of 132241331220045 is 540022133142231.

It is a happy number.

It is not a de Polignac number, because 132241331220045 - 29 = 132241331219533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132241331219988 and 132241331220015.

It is a congruent number.

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, 54868770 + ... + 57228179.

It is an arithmetic number, because the mean of its divisors is an integer number (3551231376000).

Almost surely, 2132241331220045 is an apocalyptic number.

132241331220045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132241331220045 is a deficient number, since it is larger than the sum of its proper divisors (95037476843955).

132241331220045 is a wasteful number, since it uses less digits than its factorization.

132241331220045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112097090.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 132241331220045 its reverse (540022133142231), we get a palindrome (672263464362276).

The spelling of 132241331220045 in words is "one hundred thirty-two trillion, two hundred forty-one billion, three hundred thirty-one million, two hundred twenty thousand, forty-five".

Divisors: 1 3 5 15 31 43 59 93 129 155 177 215 295 465 645 885 1333 1829 2537 3999 5487 6665 7611 9145 12685 19995 27435 38055 78647 235941 393235 1179705 112096949 336290847 560484745 1681454235 3475005419 4820168807 6613719991 10425016257 14460506421 17375027095 19841159973 24100844035 33068599955 52125081285 72302532105 99205799865 149425233017 205025319721 284389959613 448275699051 615075959163 747126165085 853169878839 1025126598605 1421949798065 2241378495255 3075379795815 4265849394195 8816088748003 26448266244009 44080443740015 132241331220045