Search a number
-
+
30103132000200 = 233527173179172157
BaseRepresentation
bin1101101100000111011100…
…11111010100111111001000
310221120211110000202012022020
412312003232133110333020
512421202203243001300
6144005104331524440
76224610450051510
oct666035637247710
9127524400665266
1030103132000200
119656737255276
123462231bb9720
1313a4936a9c23c
14760ddc374840
153730b8e7d8a0
hex1b60ee7d4fc8

30103132000200 has 768 divisors, whose sum is σ = 118043644723200. Its totient is φ = 6187699814400.

The previous prime is 30103132000163. The next prime is 30103132000211. The reversal of 30103132000200 is 200023130103.

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 30103132000200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174772522 + ... + 174944678.

It is an arithmetic number, because the mean of its divisors is an integer number (153702662400).

Almost surely, 230103132000200 is an apocalyptic number.

30103132000200 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 30103132000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59021822361600).

30103132000200 is an abundant number, since it is smaller than the sum of its proper divisors (87940512723000).

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

30103132000200 is a wasteful number, since it uses less digits than its factorization.

30103132000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172310 (or 172301 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30103132000200 its reverse (200023130103), we get a palindrome (30303155130303).

The spelling of 30103132000200 in words is "thirty trillion, one hundred three billion, one hundred thirty-two million, two hundred", and thus it is an aban number.