Search a number
-
+
3230321100120 = 2332540087223841
BaseRepresentation
bin101111000000011110001…
…001000100010101011000
3102102211000122001102212200
4233000132021010111120
5410411144200200440
610511553344010200
7452245240206642
oct57003611042530
912384018042780
103230321100120
111035a76057204
12442084000960
131a58058bc02a
14b24c3d29892
1559064abcc30
hex2f01e244558

3230321100120 has 96 divisors (see below), whose sum is σ = 10498852372320. Its totient is φ = 861393623040.

The previous prime is 3230321100113. The next prime is 3230321100137. The reversal of 3230321100120 is 210011230323.

3230321100120 is a `hidden beast` number, since 3 + 230 + 321 + 100 + 12 + 0 = 666.

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 = 3230321100093 and 3230321100102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14319400 + ... + 14543240.

It is an arithmetic number, because the mean of its divisors is an integer number (109363045545).

Almost surely, 23230321100120 is an apocalyptic number.

3230321100120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3230321100120 is an abundant number, since it is smaller than the sum of its proper divisors (7268531272200).

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

3230321100120 is a wasteful number, since it uses less digits than its factorization.

3230321100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263945 (or 263938 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3230321100120 its reverse (210011230323), we get a palindrome (3440332330443).

The spelling of 3230321100120 in words is "three trillion, two hundred thirty billion, three hundred twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 40087 80174 120261 160348 200435 223841 240522 320696 360783 400870 447682 481044 601305 671523 721566 801740 895364 962088 1119205 1202610 1343046 1443132 1603480 1790728 1803915 2014569 2238410 2405220 2686092 2886264 3357615 3607830 4029138 4476820 4810440 5372184 6715230 7215660 8058276 8953640 10072845 13430460 14431320 16116552 20145690 26860920 40291380 80582760 8973114167 17946228334 26919342501 35892456668 44865570835 53838685002 71784913336 80758027503 89731141670 107677370004 134596712505 161516055006 179462283340 215354740008 269193425010 323032110012 358924566680 403790137515 538386850020 646064220024 807580275030 1076773700040 1615160550060 3230321100120