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21001202221220 = 22513413217612401
BaseRepresentation
bin1001100011001101110010…
…01100101100000010100100
32202100200202220002002121122
410301212321030230002210
510223040430232034340
6112355452532233112
74265200240340024
oct461467114540244
982320686062548
1021001202221220
116767618176591
12243221016b798
13b94535670a80
1452866c211a84
15266451e25db5
hex1319b932c0a4

21001202221220 has 96 divisors (see below), whose sum is σ = 48668645170656. Its totient is φ = 7562797056000.

The previous prime is 21001202221201. The next prime is 21001202221229. The reversal of 21001202221220 is 2212220210012.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6693986751076 + 14307215470144 = 2587274^2 + 3782488^2 .

It is not an unprimeable number, because it can be changed into a prime (21001202221229) 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 31 ways as a sum of consecutive naturals, for example, 33987020 + ... + 34599420.

It is an arithmetic number, because the mean of its divisors is an integer number (506965053861).

Almost surely, 221001202221220 is an apocalyptic number.

21001202221220 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 21001202221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24334322585328).

21001202221220 is an abundant number, since it is smaller than the sum of its proper divisors (27667442949436).

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

21001202221220 is a wasteful number, since it uses less digits than its factorization.

21001202221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615681 (or 615679 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21001202221220 its reverse (2212220210012), we get a palindrome (23213422431232).

The spelling of 21001202221220 in words is "twenty-one trillion, one billion, two hundred two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 3217 5330 6434 10660 12868 16085 32170 41821 64340 83642 131897 167284 209105 263794 418210 527588 612401 659485 836420 1224802 1318970 1714661 2449604 2637940 3062005 3429322 6124010 6858644 7961213 8573305 12248020 15922426 17146610 25108441 31844852 34293220 39806065 50216882 79612130 100433764 125542205 159224260 251084410 326409733 502168820 652819466 1305638932 1632048665 1970094017 3264097330 3940188034 6528194660 7880376068 9850470085 19700940170 25611222221 39401880340 51222444442 80773854697 102444888884 128056111105 161547709394 256112222210 323095418788 403869273485 512224444420 807738546970 1050060111061 1615477093940 2100120222122 4200240444244 5250300555305 10500601110610 21001202221220