Search a number
-
+
10003361004 = 2234713491691
BaseRepresentation
bin10010101000011111…
…10010110011101100
3221211011002101120000
421110033302303230
5130441330023004
64332342424300
7502615110540
oct112417626354
927734071500
1010003361004
1142737001aa
121b32132090
13c355c6230
146ac799a20
153d8323c39
hex2543f2cec

10003361004 has 240 divisors, whose sum is σ = 32297776896. Its totient is φ = 2629065600.

The previous prime is 10003361003. The next prime is 10003361021. The reversal of 10003361004 is 40016330001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10003361003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14476299 + ... + 14476989.

Almost surely, 210003361004 is an apocalyptic number.

10003361004 is a gapful number since it is divisible by the number (14) 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 10003361004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148888448).

10003361004 is an abundant number, since it is smaller than the sum of its proper divisors (22294415892).

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

10003361004 is a wasteful number, since it uses less digits than its factorization.

10003361004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10003361004 its reverse (40016330001), we get a palindrome (50019691005).

The spelling of 10003361004 in words is "ten billion, three million, three hundred sixty-one thousand, four".