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132104422442031 = 313173119763325229
BaseRepresentation
bin11110000010010111110101…
…001011000100010000101111
3122022202001121100002210221220
4132002113311023010100233
5114303344324121121111
61144543533414154423
736553141511263164
oct3602276513042057
9568661540083856
10132104422442031
1139102197571286
121299687b952a13
135893516918aa0
142489c6118a06b
151041514b7de06
hex7825f52c442f

132104422442031 has 64 divisors (see below), whose sum is σ = 207336591544320. Its totient is φ = 74040834078720.

The previous prime is 132104422441889. The next prime is 132104422442107. The reversal of 132104422442031 is 130244224401231.

It is not a de Polignac number, because 132104422442031 - 215 = 132104422409263 is a prime.

It is a super-2 number, since 2×1321044224420312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132104422441983 and 132104422442001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132104422442431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406026325 + ... + 406351553.

It is an arithmetic number, because the mean of its divisors is an integer number (3239634242880).

Almost surely, 2132104422442031 is an apocalyptic number.

132104422442031 is a deficient number, since it is larger than the sum of its proper divisors (75232169102289).

132104422442031 is a wasteful number, since it uses less digits than its factorization.

132104422442031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345056.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 132104422442031 its reverse (130244224401231), we get a palindrome (262348646843262).

The spelling of 132104422442031 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred twenty-two million, four hundred forty-two thousand, thirty-one".

Divisors: 1 3 13 17 31 39 51 93 221 403 527 663 1209 1581 6851 19763 20553 59289 256919 325229 335971 612653 770757 975687 1007913 1837959 4227977 4367623 5528893 7964489 10082099 10415101 12683931 13102869 16586679 23893467 30246297 31245303 71875609 131067287 135396313 171395683 215626827 393201861 406188939 514187049 2228143879 6427500727 6684431637 19282502181 83557509451 109267512359 199252522537 250672528353 327802537077 597757567611 1420477660667 2590282792981 3387292883129 4261432982001 7770848378943 10161878649387 44034807480677 132104422442031