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20322103323120 = 24353710837211177
BaseRepresentation
bin1001001111011100110111…
…01111111110100111110000
32122221202220022200200112220
410213232123233332213300
510130424131422314440
6111115502334121040
74165136444055444
oct447563357764760
978852808620486
1020322103323120
116525612591125
122342687350180
13b4549b49c861
14503848b58824
15253957c828d0
hex127b9bbfe9f0

20322103323120 has 160 divisors (see below), whose sum is σ = 64707459820608. Its totient is φ = 5272250425344.

The previous prime is 20322103323107. The next prime is 20322103323187. The reversal of 20322103323120 is 2132330122302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96126972 + ... + 96338148.

Almost surely, 220322103323120 is an apocalyptic number.

20322103323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322103323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32353729910304).

20322103323120 is an abundant number, since it is smaller than the sum of its proper divisors (44385356497488).

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

20322103323120 is a wasteful number, since it uses less digits than its factorization.

20322103323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222067 (or 222061 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20322103323120 its reverse (2132330122302), we get a palindrome (22454433445422).

The spelling of 20322103323120 in words is "twenty trillion, three hundred twenty-two billion, one hundred three million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 10837 21674 32511 43348 54185 65022 86696 108370 130044 162555 173392 211177 216740 260088 325110 400969 422354 433480 520176 633531 650220 801938 844708 866960 1055885 1202907 1267062 1300440 1603876 1689416 2004845 2111770 2405814 2534124 2600880 3167655 3207752 3378832 4009690 4223540 4811628 5068248 6014535 6335310 6415504 7813549 8019380 8447080 9623256 10136496 12029070 12670620 15627098 16038760 16894160 19246512 23440647 24058140 25341240 31254196 32077520 39067745 46881294 48116280 50682480 62508392 78135490 93762588 96232560 117203235 125016784 156270980 187525176 234406470 312541960 375050352 468812940 625083920 937625880 1875251760 2288525149 4577050298 6865575447 9154100596 11442625745 13731150894 18308201192 22885251490 27462301788 34327877235 36616402384 45770502980 54924603576 68655754470 84675430513 91541005960 109849207152 137311508940 169350861026 183082011920 254026291539 274623017880 338701722052 423377152565 508052583078 549246035760 677403444104 846754305130 1016105166156 1270131457695 1354806888208 1693508610260 2032210332312 2540262915390 3387017220520 4064420664624 5080525830780 6774034441040 10161051661560 20322103323120