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211303233130320 = 243256725117451193
BaseRepresentation
bin110000000010110111011110…
…001001101000111101010000
31000201011101120121220210122100
4300002313132021220331100
5210143443010140132240
62025223210515240400
762336104045550442
oct6002673611507520
91021141517823570
10211303233130320
116136721a490191
121b847b952a9100
1390b9a6a2b00a6
143a271b986c492
151966736b9be30
hexc02dde268f50

211303233130320 has 240 divisors, whose sum is σ = 723087570808512. Its totient is φ = 55285376256000.

The previous prime is 211303233130303. The next prime is 211303233130321. The reversal of 211303233130320 is 23031332303112.

211303233130320 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 0 + 3 + 2 + 331 + 3 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2113032331303202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211303233130321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3382644 + ... + 20833836.

Almost surely, 2211303233130320 is an apocalyptic number.

211303233130320 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 211303233130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361543785404256).

211303233130320 is an abundant number, since it is smaller than the sum of its proper divisors (511784337678192).

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

211303233130320 is a wasteful number, since it uses less digits than its factorization.

211303233130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17451530 (or 17451521 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 211303233130320 its reverse (23031332303112), we get a palindrome (234334565433432).

The spelling of 211303233130320 in words is "two hundred eleven trillion, three hundred three billion, two hundred thirty-three million, one hundred thirty thousand, three hundred twenty".