Search a number
-
+
10041301200 = 2435271996007
BaseRepresentation
bin10010101101000001…
…00001100011010000
3221220210110221201110
421112200201203100
5131031033114300
64340215533320
7503555436420
oct112640414320
927823427643
1010041301200
114293064237
121b4298a240
13c4041b358
146b3834480
153db81a550
hex2568218d0

10041301200 has 240 divisors, whose sum is σ = 36951603200. Its totient is φ = 2283240960.

The previous prime is 10041301177. The next prime is 10041301211. The reversal of 10041301200 is 210314001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1668597 + ... + 1674603.

Almost surely, 210041301200 is an apocalyptic number.

10041301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18475801600).

10041301200 is an abundant number, since it is smaller than the sum of its proper divisors (26910302000).

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

10041301200 is a wasteful number, since it uses less digits than its factorization.

10041301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234 (or 6223 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10041301200 its reverse (210314001), we get a palindrome (10251615201).

The spelling of 10041301200 in words is "ten billion, forty-one million, three hundred one thousand, two hundred".