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2201210221000 = 23537352989107
BaseRepresentation
bin100000000010000010010…
…110100111000111001000
321210102201010101010120111
4200002002112213013020
5242031034304033000
64403115542204104
7315014020110130
oct40020226470710
97712633333514
102201210221000
11779589869a2a
122b6738a23634
1312c75b51603b
14787795a1ac0
153c3d280acba
hex200825a71c8

2201210221000 has 128 divisors (see below), whose sum is σ = 5888399212800. Its totient is φ = 754478323200.

The previous prime is 2201210220977. The next prime is 2201210221003. The reversal of 2201210221000 is 1220121022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2201210221003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24658447 + ... + 24747553.

It is an arithmetic number, because the mean of its divisors is an integer number (46003118850).

Almost surely, 22201210221000 is an apocalyptic number.

2201210221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201210221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944199606400).

2201210221000 is an abundant number, since it is smaller than the sum of its proper divisors (3687188991800).

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

2201210221000 is a wasteful number, since it uses less digits than its factorization.

2201210221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92664 (or 92650 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2201210221000 its reverse (1220121022), we get a palindrome (2202430342022).

The spelling of 2201210221000 in words is "two trillion, two hundred one billion, two hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 3529 7000 7058 14116 17645 24703 28232 35290 49406 70580 88225 89107 98812 123515 141160 176450 178214 197624 247030 352900 356428 441125 445535 494060 617575 623749 705800 712856 882250 891070 988120 1235150 1247498 1764500 1782140 2227675 2470300 2494996 3087875 3118745 3529000 3564280 4455350 4940600 4989992 6175750 6237490 8910700 11138375 12351500 12474980 15593725 17821400 22276750 24703000 24949960 31187450 44553500 62374900 77968625 89107000 124749800 155937250 311874500 314458603 623749000 628917206 1257834412 1572293015 2201210221 2515668824 3144586030 4402420442 6289172060 7861465075 8804840884 11006051105 12578344120 15722930150 17609681768 22012102210 31445860300 39307325375 44024204420 55030255525 62891720600 78614650750 88048408840 110060511050 157229301500 220121022100 275151277625 314458603000 440242044200 550302555250 1100605110500 2201210221000