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211000112301000 = 233531123491665523
BaseRepresentation
bin101111111110011101001010…
…101111011100001111001000
31000200002102011121121012220010
4233332131022233130033020
5210124011212222113000
62024432040300031520
762305153324165251
oct5776351257341710
91020072147535803
10211000112301000
116125a7106a5700
121b7b929a8325a0
1390972c0a42719
143a1666206db28
15195d8e552cd50
hexbfe74abdc3c8

211000112301000 has 384 divisors, whose sum is σ = 725682130992000. Its totient is φ = 51004945728000.

The previous prime is 211000112300969. The next prime is 211000112301031. The reversal of 211000112301000 is 103211000112.

It is an interprime number because it is at equal distance from previous prime (211000112300969) and next prime (211000112301031).

It is a super-2 number, since 2×2110001123010002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125854239 + ... + 127519761.

It is an arithmetic number, because the mean of its divisors is an integer number (1889797216125).

Almost surely, 2211000112301000 is an apocalyptic number.

211000112301000 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 211000112301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362841065496000).

211000112301000 is an abundant number, since it is smaller than the sum of its proper divisors (514682018691000).

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

211000112301000 is a wasteful number, since it uses less digits than its factorization.

211000112301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665918 (or 1665893 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 211000112301000 its reverse (103211000112), we get a palindrome (211103323301112).

The spelling of 211000112301000 in words is "two hundred eleven trillion, one hundred twelve million, three hundred one thousand".