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2413203320 = 2351167109751
BaseRepresentation
bin1000111111010110…
…1000111101111000
320020011212102121202
42033311220331320
514420240001240
61035243153332
7113541614123
oct21765507570
96204772552
102413203320
111029210410
12574215848
132c5c5c578
1418c6d93ba
15e1cd3315
hex8fd68f78

2413203320 has 128 divisors (see below), whose sum is σ = 6074956800. Its totient is φ = 855360000.

The previous prime is 2413203271. The next prime is 2413203347. The reversal of 2413203320 is 233023142.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2413203292 and 2413203301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3212945 + ... + 3213695.

It is an arithmetic number, because the mean of its divisors is an integer number (47460600).

Almost surely, 22413203320 is an apocalyptic number.

2413203320 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 2413203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037478400).

2413203320 is an abundant number, since it is smaller than the sum of its proper divisors (3661753480).

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

2413203320 is a wasteful number, since it uses less digits than its factorization.

2413203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2413203320 is about 49124.3658483242. The cubic root of 2413203320 is about 1341.3166163833.

Adding to 2413203320 its reverse (233023142), we get a palindrome (2646226462).

The spelling of 2413203320 in words is "two billion, four hundred thirteen million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 109 110 134 218 220 268 335 436 440 536 545 670 737 751 872 1090 1199 1340 1474 1502 2180 2398 2680 2948 3004 3685 3755 4360 4796 5896 5995 6008 7303 7370 7510 8261 9592 11990 14606 14740 15020 16522 23980 29212 29480 30040 33044 36515 41305 47960 50317 58424 66088 73030 80333 81859 82610 100634 146060 160666 163718 165220 201268 251585 292120 321332 327436 330440 401665 402536 409295 503170 553487 642664 654872 803330 818590 900449 1006340 1106974 1606660 1637180 1800898 2012680 2213948 2767435 3213320 3274360 3601796 4427896 4502245 5484553 5534870 7203592 9004490 10969106 11069740 18008980 21938212 22139480 27422765 36017960 43876424 54845530 60330083 109691060 120660166 219382120 241320332 301650415 482640664 603300830 1206601660 2413203320