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3205321453230 = 23513411391442143
BaseRepresentation
bin101110101001001100000…
…010111110111010101110
3102100102111100210210102220
4232221030002332322232
5410003444243000410
610452300534500210
7450401565546021
oct56511402767256
912312440723386
103205321453230
111026407441506
12439267804666
131a335047a470
14b11d1a351b8
155859ee6a070
hex2ea4c0beeae

3205321453230 has 128 divisors (see below), whose sum is σ = 8547645173760. Its totient is φ = 764219888640.

The previous prime is 3205321453181. The next prime is 3205321453231. The reversal of 3205321453230 is 323541235023.

It is a junction number, because it is equal to n+sod(n) for n = 3205321453191 and 3205321453200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205321453231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1501539 + ... + 2943681.

It is an arithmetic number, because the mean of its divisors is an integer number (66778477920).

Almost surely, 23205321453230 is an apocalyptic number.

3205321453230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3205321453230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273822586880).

3205321453230 is an abundant number, since it is smaller than the sum of its proper divisors (5342323720530).

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

3205321453230 is a wasteful number, since it uses less digits than its factorization.

3205321453230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442346.

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 3205321453230 its reverse (323541235023), we get a palindrome (3528862688253).

The spelling of 3205321453230 in words is "three trillion, two hundred five billion, three hundred twenty-one million, four hundred fifty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 139 195 205 246 278 390 410 417 533 615 695 834 1066 1230 1390 1599 1807 2085 2665 3198 3614 4170 5330 5421 5699 7995 9035 10842 11398 15990 17097 18070 27105 28495 34194 54210 56990 74087 85485 148174 170970 222261 370435 444522 740870 1111305 1442143 2222610 2884286 4326429 7210715 8652858 14421430 18747859 21632145 37495718 43264290 56243577 59127863 93739295 112487154 118255726 177383589 187478590 200457877 281217885 295639315 354767178 400915754 562435770 591278630 601373631 768662219 886917945 1002289385 1202747262 1537324438 1773835890 2004578770 2305986657 2605952401 3006868155 3843311095 4611973314 5211904802 6013736310 7686622190 7817857203 8218772957 11529933285 13029762005 15635714406 16437545914 23059866570 24656318871 26059524010 39089286015 41093864785 49312637742 78178572030 82187729570 106844048441 123281594355 213688096882 246563188710 320532145323 534220242205 641064290646 1068440484410 1602660726615 3205321453230