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20211321312 = 2533713594357
BaseRepresentation
bin10010110100101100…
…000100100111100000
31221011120011111121000
4102310230010213200
5312343044240222
613141314432000
71313566253010
oct226454044740
957146144530
1020211321312
118631844936
123b00892600
131ba13c7030
14d9a3b3c40
157d45ae9ac
hex4b4b049e0

20211321312 has 384 divisors, whose sum is σ = 73800115200. Its totient is φ = 5238908928.

The previous prime is 20211321293. The next prime is 20211321329. The reversal of 20211321312 is 21312311202.

20211321312 is a `hidden beast` number, since 20 + 2 + 11 + 321 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4636638 + ... + 4640994.

It is an arithmetic number, because the mean of its divisors is an integer number (192187800).

Almost surely, 220211321312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36900057600).

20211321312 is an abundant number, since it is smaller than the sum of its proper divisors (53588793888).

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

20211321312 is a wasteful number, since it uses less digits than its factorization.

20211321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20211321312 its reverse (21312311202), we get a palindrome (41523632514).

The spelling of 20211321312 in words is "twenty billion, two hundred eleven million, three hundred twenty-one thousand, three hundred twelve".