Search a number
-
+
221220021220000 = 2554111005545551
BaseRepresentation
bin110010010011001011001100…
…110010000011001010100000
31002000021102112122021000211021
4302103023030302003022200
5212443432100413020000
62102255024052255224
764411422231526315
oct6223131462031240
91060242478230737
10221220021220000
116453a97a86a390
1220989b09611514
139658c5ca54a4a
143c8b16b416d0c
151a8969166e11a
hexc932ccc832a0

221220021220000 has 120 divisors (see below), whose sum is σ = 593710293540672. Its totient is φ = 80443644000000.

The previous prime is 221220021219949. The next prime is 221220021220013. The reversal of 221220021220000 is 22120022122.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 502552776 + ... + 502992775.

Almost surely, 2221220021220000 is an apocalyptic number.

221220021220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220021220000 is an abundant number, since it is smaller than the sum of its proper divisors (372490272320672).

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

221220021220000 is a wasteful number, since it uses less digits than its factorization.

221220021220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005545592 (or 1005545569 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221220021220000 its reverse (22120022122), we get a palindrome (221242141242122).

The spelling of 221220021220000 in words is "two hundred twenty-one trillion, two hundred twenty billion, twenty-one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 55000 110000 220000 1005545551 2011091102 4022182204 5027727755 8044364408 10055455510 11061001061 16088728816 20110911020 22122002122 25138638775 32177457632 40221822040 44244004244 50277277550 55305005305 80443644080 88488008488 100554555100 110610010610 125693193875 160887288160 176976016976 201109110200 221220021220 251386387750 276525026525 353952033952 402218220400 442440042440 502772775500 553050053050 628465969375 804436440800 884880084880 1005545551000 1106100106100 1256931938750 1382625132625 1769760169760 2011091102000 2212200212200 2513863877500 2765250265250 4022182204000 4424400424400 5027727755000 5530500530500 6913125663125 8848800848800 10055455510000 11061001061000 13826251326250 20110911020000 22122002122000 27652502652500 44244004244000 55305005305000 110610010610000 221220021220000