Search a number
-
+
10481801200 = 2452132015731
BaseRepresentation
bin10011100001100001…
…11001011111110000
31000001111100200010021
421300300321133300
5132431320114300
64452033213224
7520514561113
oct116060713760
930044320107
1010481801200
114499781422
122046401214
13cb076cc40
1471613c57a
1541532dd1a
hex270c397f0

10481801200 has 60 divisors (see below), whose sum is σ = 27119658328. Its totient is φ = 3870201600.

The previous prime is 10481801179. The next prime is 10481801221. The reversal of 10481801200 is 210818401.

10481801200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10481801179) and next prime (10481801221).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1002666 + ... + 1013065.

Almost surely, 210481801200 is an apocalyptic number.

10481801200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10481801200 is an abundant number, since it is smaller than the sum of its proper divisors (16637857128).

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

10481801200 is a wasteful number, since it uses less digits than its factorization.

10481801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015762 (or 2015751 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The spelling of 10481801200 in words is "ten billion, four hundred eighty-one million, eight hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 2015731 4031462 8062924 10078655 16125848 20157310 26204503 32251696 40314620 50393275 52409006 80629240 100786550 104818012 131022515 161258480 201573100 209636024 262045030 403146200 419272048 524090060 655112575 806292400 1048180120 1310225150 2096360240 2620450300 5240900600 10481801200