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213203320440 = 233511941317159
BaseRepresentation
bin1100011010001111101…
…0000111111001111000
3202101022111122212011120
43012203322013321320
511443120022223230
6241535543025240
721255243215415
oct3064372077170
9671274585146
10213203320440
1182467797280
12353a143b220
131714986b616
14a46785510c
15582c689310
hex31a3e87e78

213203320440 has 128 divisors (see below), whose sum is σ = 697871116800. Its totient is φ = 51677150720.

The previous prime is 213203320403. The next prime is 213203320457. The reversal of 213203320440 is 44023302312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213203320440.

It is a congruent number.

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, 12416581 + ... + 12433739.

It is an arithmetic number, because the mean of its divisors is an integer number (5452118100).

Almost surely, 2213203320440 is an apocalyptic number.

213203320440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213203320440 is an abundant number, since it is smaller than the sum of its proper divisors (484667796360).

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

213203320440 is a wasteful number, since it uses less digits than its factorization.

213203320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26597 (or 26593 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 213203320440 its reverse (44023302312), we get a palindrome (257226622752).

The spelling of 213203320440 in words is "two hundred thirteen billion, two hundred three million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9413 17159 18826 28239 34318 37652 47065 51477 56478 68636 75304 85795 94130 102954 103543 112956 137272 141195 171590 188260 188749 205908 207086 225912 257385 282390 310629 343180 376520 377498 411816 414172 514770 517715 564780 566247 621258 686360 754996 828344 943745 1029540 1035430 1129560 1132494 1242516 1509992 1553145 1887490 2059080 2070860 2264988 2485032 2831235 3106290 3774980 4141720 4529976 5662470 6212580 7549960 11324940 12425160 22649880 161517667 323035334 484553001 646070668 807588335 969106002 1292141336 1615176670 1776694337 1938212004 2422765005 3230353340 3553388674 3876424008 4845530010 5330083011 6460706680 7106777348 8883471685 9691060020 10660166022 14213554696 17766943370 19382120040 21320332044 26650415055 35533886740 42640664088 53300830110 71067773480 106601660220 213203320440