Search a number
-
+
323100203220 = 223251795001129
BaseRepresentation
bin1001011001110100100…
…01011101100011010100
31010212222102000221022100
410230322101131203110
520243202123000340
6404232530402100
732225503261524
oct4547221354324
91125872027270
10323100203220
11115031706943
1252751730330
13246118a2c02
14118d1075684
1586106b3830
hex4b3a45d8d4

323100203220 has 36 divisors (see below), whose sum is σ = 980070616980. Its totient is φ = 86160054144.

The previous prime is 323100203203. The next prime is 323100203263. The reversal of 323100203220 is 22302001323.

It is a happy number.

323100203220 is a `hidden beast` number, since 32 + 310 + 0 + 2 + 0 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45796856004 + 277303347216 = 214002^2 + 526596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 323100203193 and 323100203202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897500385 + ... + 897500744.

It is an arithmetic number, because the mean of its divisors is an integer number (27224183805).

Almost surely, 2323100203220 is an apocalyptic number.

323100203220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323100203220 is an abundant number, since it is smaller than the sum of its proper divisors (656970413760).

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

323100203220 is a wasteful number, since it uses less digits than its factorization.

323100203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795001144 (or 1795001139 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 323100203220 its reverse (22302001323), we get a palindrome (345402204543).

The spelling of 323100203220 in words is "three hundred twenty-three billion, one hundred million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1795001129 3590002258 5385003387 7180004516 8975005645 10770006774 16155010161 17950011290 21540013548 26925016935 32310020322 35900022580 53850033870 64620040644 80775050805 107700067740 161550101610 323100203220