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132122034010404 = 223311743104177141
BaseRepresentation
bin11110000010101000001110…
…111001110111100100100100
3122022210202001201101011222000
4132002220032321313210210
5114304141411201313104
61145000005143205300
736554334112164444
oct3602501671674444
9568722051334860
10132122034010404
113910970486a269
121299a175a46830
135895092528469
14248aa52184124
151041be5dab639
hex782a0ee77924

132122034010404 has 48 divisors (see below), whose sum is σ = 342567779581440. Its totient is φ = 44036927203680.

The previous prime is 132122034010403. The next prime is 132122034010427. The reversal of 132122034010404 is 404010430221231.

132122034010404 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 203 + 40 + 10 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132122034010403) 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 15 ways as a sum of consecutive naturals, for example, 50820327 + ... + 53356814.

It is an arithmetic number, because the mean of its divisors is an integer number (7136828741280).

Almost surely, 2132122034010404 is an apocalyptic number.

It is an amenable number.

132122034010404 is an abundant number, since it is smaller than the sum of its proper divisors (210445745571036).

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

132122034010404 is a wasteful number, since it uses less digits than its factorization.

132122034010404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104188897 (or 104188889 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 132122034010404 its reverse (404010430221231), we get a palindrome (536132464231635).

The spelling of 132122034010404 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, thirty-four million, ten thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 11743 23486 35229 46972 70458 105687 140916 211374 317061 422748 634122 1268244 104177141 208354282 312531423 416708564 625062846 937594269 1250125692 1875188538 2812782807 3750377076 5625565614 11251131228 1223352166763 2446704333526 3670056500289 4893408667052 7340113000578 11010169500867 14680226001156 22020339001734 33030508502601 44040678003468 66061017005202 132122034010404