Search a number
-
+
10004323040200 = 23521712421236893
BaseRepresentation
bin1001000110010101000000…
…0111101111101111001000
31022102101220110210110010101
42101211100013233233020
52302402323144241300
633135531134455144
72051534310521116
oct221452007575710
938371813713111
1010004323040200
11320789a5a9115
121156aa36644b4
13577532983b88
142682d7332ab6
1512537e728b6a
hex919501efbc8

10004323040200 has 96 divisors (see below), whose sum is σ = 24630376133160. Its totient is φ = 3766014259200.

The previous prime is 10004323040161. The next prime is 10004323040203. The reversal of 10004323040200 is 204032340001.

It can be written as a sum of positive squares in 12 ways, for example, as 4346499450276 + 5657823589924 = 2084826^2 + 2378618^2 .

It is not an unprimeable number, because it can be changed into a prime (10004323040203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42112954 + ... + 42349846.

Almost surely, 210004323040200 is an apocalyptic number.

10004323040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004323040200 is an abundant number, since it is smaller than the sum of its proper divisors (14626053092960).

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

10004323040200 is a wasteful number, since it uses less digits than its factorization.

10004323040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249347 (or 249338 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10004323040200 its reverse (204032340001), we get a palindrome (10208355380201).

The spelling of 10004323040200 in words is "ten trillion, four billion, three hundred twenty-three million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 12421 24842 49684 62105 99368 124210 211157 236893 248420 310525 422314 473786 496840 621050 844628 947572 1055785 1184465 1242100 1689256 1895144 2111570 2368930 2484200 4027181 4223140 4737860 5278925 5922325 8054362 8446280 9475720 10557850 11844650 16108724 20135905 21115700 23689300 32217448 40271810 42231400 47378600 80543620 100679525 161087240 201359050 402718100 805436200 2942447953 5884895906 11769791812 14712239765 23539583624 29424479530 50021615201 58848959060 73561198825 100043230402 117697918120 147122397650 200086460804 250108076005 294244795300 400172921608 500216152010 588489590600 1000432304020 1250540380025 2000864608040 2501080760050 5002161520100 10004323040200