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211332002312300 = 225261121972840419
BaseRepresentation
bin110000000011010010010000…
…111011010111000001101100
31000201021010211121012200002212
4300003102100323113001230
5210144430420042443200
62025244325342505552
762341143011554532
oct6003222073270154
91021233747180085
10211332002312300
1161378442989441
121b851683b952b8
1390bc6a36805ac
143a28748644152
15196736c6ee035
hexc03490ed706c

211332002312300 has 72 divisors (see below), whose sum is σ = 466146700274640. Its totient is φ = 83140171027200.

The previous prime is 211332002312287. The next prime is 211332002312309. The reversal of 211332002312300 is 3213200233112.

It is a super-2 number, since 2×2113320023123002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211332002312309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72981491 + ... + 75821909.

Almost surely, 2211332002312300 is an apocalyptic number.

211332002312300 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 211332002312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233073350137320).

211332002312300 is an abundant number, since it is smaller than the sum of its proper divisors (254814697962340).

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

211332002312300 is a wasteful number, since it uses less digits than its factorization.

211332002312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852691 (or 2852684 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 211332002312300 its reverse (3213200233112), we get a palindrome (214545202545412).

The spelling of 211332002312300 in words is "two hundred eleven trillion, three hundred thirty-two billion, two million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 12197 24394 48788 60985 121970 243940 304925 609850 744017 1219700 1488034 2840419 2976068 3720085 5680838 7440170 11361676 14202095 14880340 18600425 28404190 37200850 56808380 71010475 74401700 142020950 173265559 284041900 346531118 693062236 866327795 1732655590 3465311180 4331638975 8663277950 17326555900 34644590543 69289181086 138578362172 173222952715 346445905430 692891810860 866114763575 1732229527150 2113320023123 3464459054300 4226640046246 8453280092492 10566600115615 21133200231230 42266400462460 52833000578075 105666001156150 211332002312300