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2000011201000 = 235341407911959
BaseRepresentation
bin11101000110101001111…
…101010000100111101000
321002012101012220220211221
4131012221331100213220
5230232010331413000
64130443101031424
7264332066466031
oct35065175204750
97065335826757
102000011201000
1170122220130a
12283747855574
131167a5986797
146cb30167a88
1537058e9161a
hex1d1a9f509e8

2000011201000 has 128 divisors (see below), whose sum is σ = 4795749504000. Its totient is φ = 780235584000.

The previous prime is 2000011200973. The next prime is 2000011201003. The reversal of 2000011201000 is 1021100002.

It is not an unprimeable number, because it can be changed into a prime (2000011201003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167233021 + ... + 167244979.

It is an arithmetic number, because the mean of its divisors is an integer number (37466793000).

Almost surely, 22000011201000 is an apocalyptic number.

2000011201000 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 2000011201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397874752000).

2000011201000 is an abundant number, since it is smaller than the sum of its proper divisors (2795738303000).

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

2000011201000 is a wasteful number, since it uses less digits than its factorization.

2000011201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16100 (or 16086 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2000011201000 its reverse (1021100002), we get a palindrome (2001032301002).

The spelling of 2000011201000 in words is "two trillion, eleven million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4079 4100 5125 8158 8200 10250 11959 16316 20395 20500 23918 32632 40790 41000 47836 59795 81580 95672 101975 119590 163160 167239 203950 239180 298975 334478 407900 478360 490319 509875 597950 668956 815800 836195 980638 1019750 1195900 1337912 1494875 1672390 1961276 2039500 2391800 2451595 2989750 3344780 3922552 4079000 4180975 4903190 5979500 6689560 8361950 9806380 11959000 12257975 16723900 19612760 20904875 24515950 33447800 41809750 48780761 49031900 61289875 83619500 97561522 98063800 122579750 167239000 195123044 243903805 245159500 390246088 487807610 490319000 975615220 1219519025 1951230440 2000011201 2439038050 4000022402 4878076100 6097595125 8000044804 9756152200 10000056005 12195190250 16000089608 20000112010 24390380500 40000224020 48780761000 50000280025 80000448040 100000560050 200001120100 250001400125 400002240200 500002800250 1000005600500 2000011201000