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3200011313220 = 2232541433605869
BaseRepresentation
bin101110100100001111100…
…010011010000001000100
3102022220210021211201202200
4232210033202122001010
5404412110344010340
610450022004034500
7450123156240201
oct56441742320104
912286707751680
103200011313220
111024131a64747
12438225392a30
131a29b52b0597
14b0c4a6c0ca8
155838dba0330
hex2e90f89a044

3200011313220 has 72 divisors (see below), whose sum is σ = 9943449810840. Its totient is φ = 832523266560.

The previous prime is 3200011313189. The next prime is 3200011313227. The reversal of 3200011313220 is 223131100023.

3200011313220 is a `hidden beast` number, since 320 + 0 + 0 + 11 + 313 + 2 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 343377248256 + 2856634064964 = 585984^2 + 1690158^2 .

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 = 3200011313193 and 3200011313202.

It is not an unprimeable number, because it can be changed into a prime (3200011313227) by changing a digit.

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, 216795555 + ... + 216810314.

It is an arithmetic number, because the mean of its divisors is an integer number (138103469595).

Almost surely, 23200011313220 is an apocalyptic number.

3200011313220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3200011313220 is an abundant number, since it is smaller than the sum of its proper divisors (6743438497620).

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

3200011313220 is a wasteful number, since it uses less digits than its factorization.

3200011313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433605925 (or 433605920 counting only the distinct ones).

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

Adding to 3200011313220 its reverse (223131100023), we get a palindrome (3423142413243).

The spelling of 3200011313220 in words is "three trillion, two hundred billion, eleven million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 433605869 867211738 1300817607 1734423476 2168029345 2601635214 3902452821 4336058690 5203270428 6504088035 7804905642 8672117380 13008176070 15609811284 17777840629 19512264105 26016352140 35555681258 39024528210 53333521887 71111362516 78049056420 88889203145 106667043774 160000565661 177778406290 213334087548 266667609435 320001131322 355556812580 533335218870 640002262644 800002828305 1066670437740 1600005656610 3200011313220