Search a number
-
+
10001001110000 = 24543024133071
BaseRepresentation
bin1001000110001000101000…
…0111100101100111110000
31022102002022221222220120112
42101202022013211213300
52302324022241010000
633134221350200452
72051356062550325
oct221421207454760
938362287886515
1010001001110000
11320644544585a
121156317053128
135771236939c4
142680a0088b4c
15125237c93235
hex9188a1e59f0

10001001110000 has 100 divisors (see below), whose sum is σ = 24214956658464. Its totient is φ = 4000147200000.

The previous prime is 10001001109969. The next prime is 10001001110033. The reversal of 10001001110000 is 1110010001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

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 19 ways as a sum of consecutive naturals, for example, 302393465 + ... + 302426535.

Almost surely, 210001001110000 is an apocalyptic number.

10001001110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001001110000 is an abundant number, since it is smaller than the sum of its proper divisors (14213955548464).

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

10001001110000 is an equidigital number, since it uses as much as digits as its factorization.

10001001110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63340 (or 63319 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10001001110000 its reverse (1110010001), we get a palindrome (10002111120001).

The spelling of 10001001110000 in words is "ten trillion, one billion, one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 30241 33071 60482 66142 120964 132284 151205 165355 241928 264568 302410 330710 483856 529136 604820 661420 756025 826775 1209640 1322840 1512050 1653550 2419280 2645680 3024100 3307100 3780125 4133875 6048200 6614200 7560250 8267750 12096400 13228400 15120500 16535500 18900625 20669375 30241000 33071000 37801250 41338750 60482000 66142000 75602500 82677500 151205000 165355000 302410000 330710000 1000100111 2000200222 4000400444 5000500555 8000800888 10001001110 16001601776 20002002220 25002502775 40004004440 50005005550 80008008880 100010011100 125012513875 200020022200 250025027750 400040044400 500050055500 625062569375 1000100111000 1250125138750 2000200222000 2500250277500 5000500555000 10001001110000