Search a number
-
+
103470001200 = 24325249158537
BaseRepresentation
bin110000001011101001…
…0101110110000110000
3100220002000001200000200
41200113102232300300
53143401310014300
6115311121115200
710322040333036
oct1402722566060
9326060050020
10103470001200
113a977133395
1218077a88b00
1399ac6a47a7
145017c50556
152a58bbd200
hex18174aec30

103470001200 has 180 divisors, whose sum is σ = 359807095128. Its totient is φ = 27535334400.

The previous prime is 103470001181. The next prime is 103470001249. The reversal of 103470001200 is 2100074301.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1034700012002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1738332 + ... + 1796868.

Almost surely, 2103470001200 is an apocalyptic number.

103470001200 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 103470001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179903547564).

103470001200 is an abundant number, since it is smaller than the sum of its proper divisors (256337093928).

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

103470001200 is a wasteful number, since it uses less digits than its factorization.

103470001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59052 (or 59038 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 103470001200 its reverse (2100074301), we get a palindrome (105570075501).

The spelling of 103470001200 in words is "one hundred three billion, four hundred seventy million, one thousand, two hundred".