Search a number
-
+
10043310000 = 24354334777
BaseRepresentation
bin10010101101010000…
…01011111110110000
3221220221021000021110
421112220023332300
5131032041410000
64340330553320
7503611504113
oct112650137660
927827230243
1010043310000
1142942064a9
121b43598840
13c409727a9
146b3bd857a
153dbab5850
hex256a0bfb0

10043310000 has 100 divisors (see below), whose sum is σ = 32421240632. Its totient is φ = 2678208000.

The previous prime is 10043309981. The next prime is 10043310001. The reversal of 10043310000 is 1334001.

10043310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×100433100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10043310001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137389 + ... + 197388.

Almost surely, 210043310000 is an apocalyptic number.

10043310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10043310000 is an abundant number, since it is smaller than the sum of its proper divisors (22377930632).

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

10043310000 is an equidigital number, since it uses as much as digits as its factorization.

10043310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334808 (or 334787 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10043310000 its reverse (1334001), we get a palindrome (10044644001).

The spelling of 10043310000 in words is "ten billion, forty-three million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 334777 669554 1004331 1339108 1673885 2008662 2678216 3347770 4017324 5021655 5356432 6695540 8034648 8369425 10043310 13391080 16069296 16738850 20086620 25108275 26782160 33477700 40173240 41847125 50216550 66955400 80346480 83694250 100433100 125541375 133910800 167388500 200866200 209235625 251082750 334777000 401732400 418471250 502165500 627706875 669554000 836942500 1004331000 1255413750 1673885000 2008662000 2510827500 3347770000 5021655000 10043310000