Search a number
-
+
3105400200 = 23352717233161
BaseRepresentation
bin1011100100011000…
…1010010110001000
322000102100200020020
42321012022112020
522324440301300
61232051300440
7136645315620
oct27106122610
98012320206
103105400200
111353a10151
12727baa720
133a6499016
14216601880
151329638a0
hexb918a588

3105400200 has 768 divisors, whose sum is σ = 12753469440. Its totient is φ = 608256000.

The previous prime is 3105400189. The next prime is 3105400211. The reversal of 3105400200 is 20045013.

It is an interprime number because it is at equal distance from previous prime (3105400189) and next prime (3105400211).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3105400200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50908170 + ... + 50908230.

It is an arithmetic number, because the mean of its divisors is an integer number (16606080).

Almost surely, 23105400200 is an apocalyptic number.

3105400200 is a gapful number since it is divisible by the number (30) 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 3105400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376734720).

3105400200 is an abundant number, since it is smaller than the sum of its proper divisors (9648069240).

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

3105400200 is a wasteful number, since it uses less digits than its factorization.

3105400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3105400200 is about 55726.1177546041. The cubic root of 3105400200 is about 1458.9459145822.

Adding to 3105400200 its reverse (20045013), we get a palindrome (3125445213).

The spelling of 3105400200 in words is "three billion, one hundred five million, four hundred thousand, two hundred".