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211230023012000 = 2553234575024023
BaseRepresentation
bin110000000001110011010010…
…011111001100111010100000
31000200220101121111011110021122
4300001303102133030322200
5210141243041342341000
62025125422152311412
762330602612036316
oct6001632237147240
91020811544143248
10211230023012000
1161339171264773
121b8359633a2568
1390b2ba0a93555
143a238327960b6
15196489e840085
hexc01cd27ccea0

211230023012000 has 192 divisors, whose sum is σ = 542742177729024. Its totient is φ = 80641581926400.

The previous prime is 211230023011963. The next prime is 211230023012131. The reversal of 211230023012000 is 210320032112.

It is a self number, because there is not a number n which added to its sum of digits gives 211230023012000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39531989 + ... + 44556011.

It is an arithmetic number, because the mean of its divisors is an integer number (2826782175672).

Almost surely, 2211230023012000 is an apocalyptic number.

211230023012000 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 211230023012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271371088864512).

211230023012000 is an abundant number, since it is smaller than the sum of its proper divisors (331512154717024).

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

211230023012000 is a wasteful number, since it uses less digits than its factorization.

211230023012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024528 (or 5024510 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 211230023012000 its reverse (210320032112), we get a palindrome (211440343044112).

The spelling of 211230023012000 in words is "two hundred eleven trillion, two hundred thirty billion, twenty-three million, twelve thousand".