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21320132110032 = 24371009223928087
BaseRepresentation
bin1001101100011111110101…
…11001101010011011010000
32210111011222122221010000210
410312033322321222123100
510243302112310010112
6113202200010444120
74330220514556530
oct466177271523320
983434878833023
1021320132110032
11687a8a9841498
122483b99133640
13bb863125cb02
14539c8547b4c0
1526e8bb420b3c
hex1363fae6a6d0

21320132110032 has 160 divisors (see below), whose sum is σ = 63037920870400. Its totient is φ = 6082494695424.

The previous prime is 21320132109979. The next prime is 21320132110037. The reversal of 21320132110032 is 23001123102312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21320132109990 and 21320132110008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320132110037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759060693 + ... + 759088779.

It is an arithmetic number, because the mean of its divisors is an integer number (393987005440).

Almost surely, 221320132110032 is an apocalyptic number.

It is an amenable number.

21320132110032 is an abundant number, since it is smaller than the sum of its proper divisors (41717788760368).

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

21320132110032 is a wasteful number, since it uses less digits than its factorization.

21320132110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31353 (or 31347 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21320132110032 its reverse (23001123102312), we get a palindrome (44321255212344).

The spelling of 21320132110032 in words is "twenty-one trillion, three hundred twenty billion, one hundred thirty-two million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1009 2018 2239 3027 4036 4478 6054 6717 7063 8072 8956 12108 13434 14126 15673 16144 17912 21189 24216 26868 28087 28252 31346 35824 42378 47019 48432 53736 56174 56504 62692 84261 84756 94038 107472 112348 113008 125384 168522 169512 188076 196609 224696 250768 337044 339024 376152 393218 449392 589827 674088 752304 786436 1179654 1348176 1572872 2259151 2359308 3145744 4518302 4718616 6777453 9036604 9437232 13554906 15814057 18073208 27109812 28339783 31628114 36146416 47442171 54219624 56679566 62886793 63256228 85019349 94884342 108439248 113359132 125773586 126512456 170038698 188660379 189768684 198378481 226718264 251547172 253024912 340077396 377320758 379537368 396756962 440207551 453436528 503094344 595135443 680154792 754641516 759074736 793513924 880415102 1006188688 1190270886 1320622653 1360309584 1509283032 1587027848 1760830204 2380541772 2641245306 3018566064 3174055696 3521660408 4761083544 5282490612 7043320816 9522167088 10564981224 21129962448 63452774137 126905548274 190358322411 253811096548 380716644822 444169418959 507622193096 761433289644 888338837918 1015244386192 1332508256877 1522866579288 1776677675836 2665016513754 3045733158576 3553355351672 5330033027508 7106710703344 10660066055016 21320132110032