Search a number
-
+
30085260100 = 2252726139849
BaseRepresentation
bin11100000001001110…
…001010001101000100
32212122200201120020121
4130001032022031010
5443103311310400
621453155311324
72113353330400
oct340116121504
985580646217
1030085260100
1111839388225
1259b75ab544
132ab5c4776c
1416558c0100
15bb136b21a
hex70138a344

30085260100 has 54 divisors (see below), whose sum is σ = 75943804650. Its totient is φ = 10314944640.

The previous prime is 30085260067. The next prime is 30085260151. The reversal of 30085260100 is 106258003.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 108493056 + 29976767044 = 10416^2 + 173138^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 17 ways as a sum of consecutive naturals, for example, 3065025 + ... + 3074824.

Almost surely, 230085260100 is an apocalyptic number.

It is an amenable number.

30085260100 is an abundant number, since it is smaller than the sum of its proper divisors (45858544550).

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

30085260100 is a wasteful number, since it uses less digits than its factorization.

30085260100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139877 (or 6139863 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 30085260100 in words is "thirty billion, eighty-five million, two hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 6139849 12279698 24559396 30699245 42978943 61398490 85957886 122796980 153496225 171915772 214894715 300852601 306992450 429789430 601705202 613984900 859578860 1074473575 1203410404 1504263005 2148947150 3008526010 4297894300 6017052020 7521315025 15042630050 30085260100