Search a number
-
+
32012011212320 = 255553313615967
BaseRepresentation
bin1110100011101011000001…
…00011101000111000100000
311012100022121002202102012202
413101311200203220320200
513143441044332243240
6152030040454112332
76512535323460056
oct721654043507040
9135308532672182
1032012011212320
11a222243861497
12371018594b6a8
1314b2948262739
147c95651361d6
153a7a8c4de315
hex1d1d608e8e20

32012011212320 has 48 divisors (see below), whose sum is σ = 75629764240128. Its totient is φ = 12804569521920.

The previous prime is 32012011212289. The next prime is 32012011212329. The reversal of 32012011212320 is 2321211021023.

It is a super-2 number, since 2×320120112123202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32012011212292 and 32012011212301.

It is not an unprimeable number, because it can be changed into a prime (32012011212329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7044977 + ... + 10660943.

It is an arithmetic number, because the mean of its divisors is an integer number (1575620088336).

Almost surely, 232012011212320 is an apocalyptic number.

It is an amenable number.

32012011212320 is an abundant number, since it is smaller than the sum of its proper divisors (43617753027808).

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

32012011212320 is a wasteful number, since it uses less digits than its factorization.

32012011212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671313 (or 3671305 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 32012011212320 its reverse (2321211021023), we get a palindrome (34333222233343).

The spelling of 32012011212320 in words is "thirty-two trillion, twelve billion, eleven million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 55331 110662 221324 276655 442648 553310 885296 1106620 1770592 2213240 3615967 4426480 7231934 8852960 14463868 18079835 28927736 36159670 57855472 72319340 115710944 144638680 289277360 578554720 200075070077 400150140154 800300280308 1000375350385 1600600560616 2000750700770 3201201121232 4001501401540 6402402242464 8003002803080 16006005606160 32012011212320