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2132322100404 = 22331101352716091
BaseRepresentation
bin11111000001111000010…
…011010010010010110100
321112211220012020000111120
4133001320103102102310
5234413443424203104
64311324130503540
7310024633541316
oct37017023222264
97484805200446
102132322100404
11752349266361
122a5312434bb0
1312610054b4c2
14752c24db7b6
153a6eeb2acd9
hex1f0784d24b4

2132322100404 has 96 divisors (see below), whose sum is σ = 5188559265792. Its totient is φ = 680800080000.

The previous prime is 2132322100361. The next prime is 2132322100417. The reversal of 2132322100404 is 4040012232312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132508399 + ... + 132524489.

It is an arithmetic number, because the mean of its divisors is an integer number (54047492352).

Almost surely, 22132322100404 is an apocalyptic number.

It is an amenable number.

2132322100404 is an abundant number, since it is smaller than the sum of its proper divisors (3056237165388).

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

2132322100404 is a wasteful number, since it uses less digits than its factorization.

2132322100404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19757 (or 19755 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2132322100404 its reverse (4040012232312), we get a palindrome (6172334332716).

The spelling of 2132322100404 in words is "two trillion, one hundred thirty-two billion, three hundred twenty-two million, one hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 12 31 62 93 101 124 186 202 303 372 404 606 1212 3131 3527 6262 7054 9393 10581 12524 14108 16091 18786 21162 32182 37572 42324 48273 64364 96546 109337 193092 218674 328011 356227 437348 498821 656022 712454 997642 1068681 1312044 1424908 1496463 1625191 1995284 2137362 2992926 3250382 4274724 4875573 5985852 6500764 9751146 11043037 19502292 22086074 33129111 44172148 50380921 56752957 66258222 100761842 113505914 132516444 151142763 170258871 201523684 227011828 302285526 340517742 604571052 681035484 1759341667 3518683334 5278025001 5732048657 7037366668 10556050002 11464097314 17196145971 21112100004 22928194628 34392291942 68784583884 177693508367 355387016734 533080525101 710774033468 1066161050202 2132322100404