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2141012233000 = 235343310394759
BaseRepresentation
bin11111001001111110010…
…001100000101100101000
321120200022211020111100101
4133021332101200230220
5240034243112424000
64315322322315144
7310453164465004
oct37117621405450
97520284214311
102141012233000
11755aa8653623
122a6b387b8ab4
13126b86a575b4
14758a86d1704
153aa5c9e9e6a
hex1f27e460b28

2141012233000 has 128 divisors (see below), whose sum is σ = 5027428224000. Its totient is φ = 853425331200.

The previous prime is 2141012232977. The next prime is 2141012233007. The reversal of 2141012233000 is 3322101412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2141012233007) 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, 449884621 + ... + 449889379.

It is an arithmetic number, because the mean of its divisors is an integer number (39276783000).

Almost surely, 22141012233000 is an apocalyptic number.

2141012233000 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 2141012233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513714112000).

2141012233000 is an abundant number, since it is smaller than the sum of its proper divisors (2886415991000).

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

2141012233000 is a wasteful number, since it uses less digits than its factorization.

2141012233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2141012233000 its reverse (3322101412), we get a palindrome (2144334334412).

The spelling of 2141012233000 in words is "two trillion, one hundred forty-one billion, twelve million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 433 500 866 1000 1039 1732 2078 2165 3464 4156 4330 4759 5195 8312 8660 9518 10390 10825 17320 19036 20780 21650 23795 25975 38072 41560 43300 47590 51950 54125 86600 95180 103900 108250 118975 129875 190360 207800 216500 237950 259750 433000 449887 475900 519500 594875 899774 951800 1039000 1189750 1799548 2060647 2249435 2379500 3599096 4121294 4498870 4759000 4944601 8242588 8997740 9889202 10303235 11247175 16485176 17995480 19778404 20606470 22494350 24723005 39556808 41212940 44988700 49446010 51516175 56235875 82425880 89977400 98892020 103032350 112471750 123615025 197784040 206064700 224943500 247230050 257580875 412129400 449887000 494460100 515161750 618075125 988920200 1030323500 1236150250 2060647000 2141012233 2472300500 4282024466 4944601000 8564048932 10705061165 17128097864 21410122330 42820244660 53525305825 85640489320 107050611650 214101223300 267626529125 428202446600 535253058250 1070506116500 2141012233000