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210002210221120 = 2651297505980653
BaseRepresentation
bin101111101111111011110011…
…001001000110110001000000
31000112120000102002210011210021
4233233323303021012301000
5210011134011304033440
62022345403351143224
762143105352361352
oct5757736311066100
91015500362704707
10210002210221120
1160a05489a18199
121b677a03374b14
13902417b2b7145
1439c02384d10d2
15194298d06c84a
hexbefef3246c40

210002210221120 has 56 divisors (see below), whose sum is σ = 500453321335704. Its totient is φ = 83936118398976.

The previous prime is 210002210220997. The next prime is 210002210221129. The reversal of 210002210221120 is 21122012200012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49704530420736 + 160297679800384 = 7050144^2 + 12660872^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 210002210221094 and 210002210221103.

It is not an unprimeable number, because it can be changed into a prime (210002210221129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252575287 + ... + 253405366.

Almost surely, 2210002210221120 is an apocalyptic number.

210002210221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002210221120 is an abundant number, since it is smaller than the sum of its proper divisors (290451111114584).

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

210002210221120 is a wasteful number, since it uses less digits than its factorization.

210002210221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505981967 (or 505981957 counting only the distinct ones).

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

Adding to 210002210221120 its reverse (21122012200012), we get a palindrome (231124222421132).

The spelling of 210002210221120 in words is "two hundred ten trillion, two billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1297 2594 5188 6485 10376 12970 20752 25940 41504 51880 83008 103760 207520 415040 505980653 1011961306 2023922612 2529903265 4047845224 5059806530 8095690448 10119613060 16191380896 20239226120 32382761792 40478452240 80956904480 161913808960 656256906941 1312513813882 2625027627764 3281284534705 5250055255528 6562569069410 10500110511056 13125138138820 21000221022112 26250276277640 42000442044224 52500552555280 105001105110560 210002210221120