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211310210003120 = 245471494316431361
BaseRepresentation
bin110000000010111101111110…
…000000010011000010110000
31000201012001120212010122212122
4300002331332000103002300
5210144101302230044440
62025230323110013412
762336441664154454
oct6002757600230260
91021161525118778
10211310210003120
116136a17a778a68
121b849401947268
1390ba60c8793a7
143a2767c2c8664
1519669e44487b5
hexc02f7e0130b0

211310210003120 has 320 divisors, whose sum is σ = 507448721203200. Its totient is φ = 81792205209600.

The previous prime is 211310210003111. The next prime is 211310210003149. The reversal of 211310210003120 is 21300012013112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155260991240 + ... + 155260992600.

It is an arithmetic number, because the mean of its divisors is an integer number (1585777253760).

Almost surely, 2211310210003120 is an apocalyptic number.

211310210003120 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 211310210003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253724360601600).

211310210003120 is an abundant number, since it is smaller than the sum of its proper divisors (296138511200080).

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

211310210003120 is a wasteful number, since it uses less digits than its factorization.

211310210003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211310210003120 its reverse (21300012013112), we get a palindrome (232610222016232).

The spelling of 211310210003120 in words is "two hundred eleven trillion, three hundred ten billion, two hundred ten million, three thousand, one hundred twenty".