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20211310121310 = 23357112321837741
BaseRepresentation
bin1001001100001110011111…
…11101011101000101011110
32122120011220221201212212000
410212013033331131011132
510122120230342340220
6110552540411223130
74154135051304330
oct446071775350536
978504827655760
1020211310121310
116492628723830
122325106a47aa6
13b37bc2860189
144dc338499450
15250b21207390
hex1261cff5d15e

20211310121310 has 384 divisors, whose sum is σ = 70244674053120. Its totient is φ = 4017152620800.

The previous prime is 20211310121237. The next prime is 20211310121351. The reversal of 20211310121310 is 1312101311202.

20211310121310 is a `hidden beast` number, since 2 + 0 + 21 + 1 + 310 + 1 + 21 + 310 = 666.

It is a super-2 number, since 2×202113101213102 (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 10079040 + ... + 11916780.

It is an arithmetic number, because the mean of its divisors is an integer number (182928838680).

Almost surely, 220211310121310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211310121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35122337026560).

20211310121310 is an abundant number, since it is smaller than the sum of its proper divisors (50033363931810).

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

20211310121310 is a wasteful number, since it uses less digits than its factorization.

20211310121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837821 (or 1837792 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20211310121310 its reverse (1312101311202), we get a palindrome (21523411432512).

The spelling of 20211310121310 in words is "twenty trillion, two hundred eleven billion, three hundred ten million, one hundred twenty-one thousand, three hundred ten".