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2203430431240 = 235415331378081
BaseRepresentation
bin100000000100000110101…
…100000010101000001000
321210122102212002111110101
4200010012230002220020
5242100111142244430
64404124133055144
7315123026432233
oct40040654025010
97718385074411
102203430431240
1177a519042825
122b70584874b4
1312ca234a26cc
147890a3c041a
153c4b26badca
hex20106b02a08

2203430431240 has 128 divisors (see below), whose sum is σ = 5176751821920. Its totient is φ = 843277926400.

The previous prime is 2203430431159. The next prime is 2203430431247. The reversal of 2203430431240 is 421340343022.

It can be written as a sum of positive squares in 16 ways, for example, as 413523591364 + 1789906839876 = 643058^2 + 1337874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2203430431199 and 2203430431208.

It is not an unprimeable number, because it can be changed into a prime (2203430431247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272664000 + ... + 272672080.

Almost surely, 22203430431240 is an apocalyptic number.

2203430431240 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 2203430431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588375910960).

2203430431240 is an abundant number, since it is smaller than the sum of its proper divisors (2973321390680).

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

2203430431240 is a wasteful number, since it uses less digits than its factorization.

2203430431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2203430431240 its reverse (421340343022), we get a palindrome (2624770774262).

The spelling of 2203430431240 in words is "two trillion, two hundred three billion, four hundred thirty million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 53 82 106 164 205 212 265 328 410 424 530 820 1060 1640 2120 2173 3137 4346 6274 8081 8692 10865 12548 15685 16162 17384 21730 25096 31370 32324 40405 43460 62740 64648 80810 86920 125480 128617 161620 166261 257234 323240 331321 332522 428293 514468 643085 662642 665044 831305 856586 1028936 1286170 1325284 1330088 1656605 1662610 1713172 2141465 2572340 2650568 3313210 3325220 3426344 4282930 5144680 6626420 6650440 6816701 8565860 13252840 13633402 17131720 17560013 25350097 27266804 34083505 35120026 50700194 54533608 68167010 70240052 87800065 101400388 126750485 136334020 140480104 175600130 202800776 253500970 272668040 351200260 507001940 702400520 1014003880 1039353977 1343555141 2078707954 2687110282 4157415908 5196769885 5374220564 6717775705 8314831816 10393539770 10748441128 13435551410 20787079540 26871102820 41574159080 53742205640 55085760781 110171521562 220343043124 275428803905 440686086248 550857607810 1101715215620 2203430431240