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20321012221320 = 23351371583780841
BaseRepresentation
bin1001001111011010110101…
…01101110000010110001000
32122221200002021120222021010
410213231122231300112020
510130414413112040240
6111115202200043520
74165100424622566
oct447553255602610
978850067528233
1020321012221320
1165251026a41a8
122342421a635a0
13b453564160a5
14503783c94a36
152538e20a8280
hex127b5ab70588

20321012221320 has 128 divisors (see below), whose sum is σ = 61446893207040. Its totient is φ = 5375977205760.

The previous prime is 20321012221219. The next prime is 20321012221373. The reversal of 20321012221320 is 2312221012302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25634100 + ... + 26414940.

It is an arithmetic number, because the mean of its divisors is an integer number (480053853180).

Almost surely, 220321012221320 is an apocalyptic number.

20321012221320 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 20321012221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723446603520).

20321012221320 is an abundant number, since it is smaller than the sum of its proper divisors (41125880985720).

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

20321012221320 is a wasteful number, since it uses less digits than its factorization.

20321012221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782575 (or 782571 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20321012221320 its reverse (2312221012302), we get a palindrome (22633233233622).

The spelling of 20321012221320 in words is "twenty trillion, three hundred twenty-one billion, twelve million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1583 1644 2055 2740 3166 3288 4110 4749 5480 6332 7915 8220 9498 12664 15830 16440 18996 23745 31660 37992 47490 63320 94980 189960 216871 433742 650613 780841 867484 1084355 1301226 1561682 1734968 2168710 2342523 2602452 3123364 3253065 3904205 4337420 4685046 5204904 6246728 6506130 7808410 8674840 9370092 11712615 13012260 15616820 18740184 23425230 26024520 31233640 46850460 93700920 106975217 213950434 320925651 427900868 534876085 641851302 855801736 1069752170 1236071303 1283702604 1604628255 2139504340 2472142606 2567405208 3209256510 3708213909 4279008680 4944285212 6180356515 6418513020 7416427818 9888570424 12360713030 12837026040 14832855636 18541069545 24721426060 29665711272 37082139090 49442852120 74164278180 148328556360 169341768511 338683537022 508025305533 677367074044 846708842555 1016050611066 1354734148088 1693417685110 2032101222132 2540126527665 3386835370220 4064202444264 5080253055330 6773670740440 10160506110660 20321012221320