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210341142000 = 243253116131733
BaseRepresentation
bin1100001111100101001…
…1110001110111110000
3202002221000222010110200
43003321103301313300
511421234313021000
6240343540355200
721124310131023
oct3037123616760
9662830863420
10210341142000
1181229100250
12349229a5b00
1316ab18b0a02
14a2756871ba
15571126b500
hex30f94f1df0

210341142000 has 480 divisors, whose sum is σ = 803208609216. Its totient is φ = 50879232000.

The previous prime is 210341141993. The next prime is 210341142019. The reversal of 210341142000 is 241143012.

210341142000 is a `hidden beast` number, since 210 + 3 + 411 + 42 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×2103411420003 (a number of 35 digits) contains 333 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 95 ways as a sum of consecutive naturals, for example, 121373134 + ... + 121374866.

Almost surely, 2210341142000 is an apocalyptic number.

210341142000 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 210341142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401604304608).

210341142000 is an abundant number, since it is smaller than the sum of its proper divisors (592867467216).

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

210341142000 is a wasteful number, since it uses less digits than its factorization.

210341142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 210341142000 its reverse (241143012), we get a palindrome (210582285012).

The spelling of 210341142000 in words is "two hundred ten billion, three hundred forty-one million, one hundred forty-two thousand".