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1000202430040 = 2351119592027821
BaseRepresentation
bin11101000111000001011…
…01011110011001011000
310112121200211022221021221
432203200231132121120
5112341403310230130
62043253041141424
7132155643244042
oct16434055363130
93477624287257
101000202430040
11356202218650
12141a1992a874
137341b1c3c28
14365a529ca92
151b03e40087a
hexe8e0b5e658

1000202430040 has 128 divisors (see below), whose sum is σ = 2628057312000. Its totient is φ = 338727052800.

The previous prime is 1000202429957. The next prime is 1000202430053. The reversal of 1000202430040 is 400342020001.

1000202430040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1000202429996 and 1000202430023.

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, 520671 + ... + 1507150.

It is an arithmetic number, because the mean of its divisors is an integer number (20531697750).

Almost surely, 21000202430040 is an apocalyptic number.

1000202430040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000202430040 is an abundant number, since it is smaller than the sum of its proper divisors (1627854881960).

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

1000202430040 is a wasteful number, since it uses less digits than its factorization.

1000202430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027921 (or 2027917 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 1000202430040 its reverse (400342020001), we get a palindrome (1400544450041).

The spelling of 1000202430040 in words is "one trillion, two hundred two million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 59 76 88 95 110 118 152 190 209 220 236 295 380 418 440 472 590 649 760 836 1045 1121 1180 1298 1672 2090 2242 2360 2596 3245 4180 4484 5192 5605 6490 8360 8968 11210 12331 12980 22420 24662 25960 44840 49324 61655 98648 123310 246620 493240 2027821 4055642 8111284 10139105 16222568 20278210 22306031 38528599 40556420 44612062 77057198 81112840 89224124 111530155 119641439 154114396 178448248 192642995 223060310 239282878 308228792 385285990 423814589 446120620 478565756 598207195 770571980 847629178 892241240 957131512 1196414390 1316055829 1541143960 1695258356 2119072945 2273187341 2392828780 2632111658 3390516712 4238145890 4546374682 4785657560 5264223316 6580279145 8476291780 9092749364 10528446632 11365936705 13160558290 16952583560 18185498728 22731873410 25005060751 26321116580 45463746820 50010121502 52642233160 90927493640 100020243004 125025303755 200040486008 250050607510 500101215020 1000202430040