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20210212210000 = 24542131948391
BaseRepresentation
bin1001001100001100011101…
…00001010000010101010000
32122120002002102211012200011
410212012032201100111100
510122111003311210000
6110552235431204304
74154065620230611
oct446061641202520
978502072735604
1020210212210000
116492114a0580a
122324a5b216694
13b37a79261107
144dc272741c08
15250aa9b352ba
hex12618e850550

20210212210000 has 100 divisors (see below), whose sum is σ = 48953957893984. Its totient is φ = 8080282800000.

The previous prime is 20210212209997. The next prime is 20210212210003. The reversal of 20210212210000 is 1221201202.

It is a happy number.

20210212210000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (20210212209997) and next prime (20210212210003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20210212210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20835805 + ... + 21784195.

Almost surely, 220210212210000 is an apocalyptic number.

20210212210000 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 20210212210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24476978946992).

20210212210000 is an abundant number, since it is smaller than the sum of its proper divisors (28743745683984).

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

20210212210000 is an equidigital number, since it uses as much as digits as its factorization.

20210212210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950550 (or 950529 counting only the distinct ones).

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

Adding to 20210212210000 its reverse (1221201202), we get a palindrome (20211433411202).

The spelling of 20210212210000 in words is "twenty trillion, two hundred ten billion, two hundred twelve million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2131 2500 4262 5000 8524 10000 10655 17048 21310 34096 42620 53275 85240 106550 170480 213100 266375 426200 532750 852400 948391 1065500 1331875 1896782 2131000 2663750 3793564 4262000 4741955 5327500 7587128 9483910 10655000 15174256 18967820 21310000 23709775 37935640 47419550 75871280 94839100 118548875 189678200 237097750 379356400 474195500 592744375 948391000 1185488750 1896782000 2021021221 2370977500 4042042442 4741955000 8084084884 9483910000 10105106105 16168169768 20210212210 32336339536 40420424420 50525530525 80840848840 101051061050 161681697680 202102122100 252627652625 404204244200 505255305250 808408488400 1010510610500 1263138263125 2021021221000 2526276526250 4042042442000 5052553052500 10105106105000 20210212210000