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221120221021000 = 23537149212004047
BaseRepresentation
bin110010010001101110010000…
…001110100000001101001000
31001222220212221101120122000121
4302101232100032200031020
5212440313203040133000
62102141121023513024
764401260132036110
oct6221562016401510
91058825841518017
10221120221021000
11645016171a0784
12209726b6758774
13964c71675cb62
143c863c0b26040
151a86c9ec4eb1a
hexc91b903a0348

221120221021000 has 128 divisors (see below), whose sum is σ = 595307366784000. Its totient is φ = 75303837139200.

The previous prime is 221120221020991. The next prime is 221120221021061. The reversal of 221120221021000 is 120122021122.

It is a happy number.

It is a super-5 number, since 5×2211202210210005 (a number of 73 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104959024 + ... + 107045023.

It is an arithmetic number, because the mean of its divisors is an integer number (4650838803000).

Almost surely, 2221120221021000 is an apocalyptic number.

221120221021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120221021000 is an abundant number, since it is smaller than the sum of its proper divisors (374187145763000).

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

221120221021000 is a wasteful number, since it uses less digits than its factorization.

221120221021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212004224 (or 212004210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221120221021000 its reverse (120122021122), we get a palindrome (221240343042122).

The spelling of 221120221021000 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 149 175 200 250 280 298 350 500 596 700 745 875 1000 1043 1192 1400 1490 1750 2086 2980 3500 3725 4172 5215 5960 7000 7450 8344 10430 14900 18625 20860 26075 29800 37250 41720 52150 74500 104300 130375 149000 208600 260750 521500 1043000 212004047 424008094 848016188 1060020235 1484028329 1696032376 2120040470 2968056658 4240080940 5300101175 5936113316 7420141645 8480161880 10600202350 11872226632 14840283290 21200404700 26500505875 29680566580 31588603003 37100708225 42400809400 53001011750 59361133160 63177206006 74201416450 106002023500 126354412012 148402832900 157943015015 185503541125 212004047000 221120221021 252708824024 296805665800 315886030030 371007082250 442240442042 631772060060 742014164500 789715075075 884480884084 1105601105105 1263544120120 1484028329000 1579430150150 1768961768168 2211202210210 3158860300300 3948575375375 4422404420420 5528005525525 6317720600600 7897150750750 8844808840840 11056011051050 15794301501500 22112022102100 27640027627625 31588603003000 44224044204200 55280055255250 110560110510500 221120221021000