Search a number
-
+
221220021210000 = 243547374000707
BaseRepresentation
bin110010010011001011001100…
…110010000000101110010000
31002000021102112122020112002220
4302103023030302000232100
5212443432100412210000
62102255024052141040
764411422231455211
oct6223131462005620
91060242478215086
10221220021210000
116453a97a86291a
1220989b09607780
139658c5ca50327
143c8b16b413408
151a8969166b1a0
hexc932ccc80b90

221220021210000 has 100 divisors (see below), whose sum is σ = 714127724565552. Its totient is φ = 58992005648000.

The previous prime is 221220021209983. The next prime is 221220021210127. The reversal of 221220021210000 is 12120022122.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 19 ways as a sum of consecutive naturals, for example, 3686970354 + ... + 3687030353.

Almost surely, 2221220021210000 is an apocalyptic number.

221220021210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220021210000 is an abundant number, since it is smaller than the sum of its proper divisors (492907703355552).

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

221220021210000 is an equidigital number, since it uses as much as digits as its factorization.

221220021210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374000738 (or 7374000717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221220021210000 its reverse (12120022122), we get a palindrome (221232141232122).

The spelling of 221220021210000 in words is "two hundred twenty-one trillion, two hundred twenty billion, twenty-one million, two hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 7374000707 14748001414 22122002121 29496002828 36870003535 44244004242 58992005656 73740007070 88488008484 110610010605 117984011312 147480014140 176976016968 184350017675 221220021210 294960028280 353952033936 368700035350 442440042420 553050053025 589920056560 737400070700 884880084840 921750088375 1106100106050 1474800141400 1769760169680 1843500176750 2212200212100 2765250265125 2949600282800 3687000353500 4424400424200 4608750441875 5530500530250 7374000707000 8848800848400 9217500883750 11061001060500 13826251325625 14748001414000 18435001767500 22122002121000 27652502651250 36870003535000 44244004242000 55305005302500 73740007070000 110610010605000 221220021210000