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2011233204040 = 23519101255710247
BaseRepresentation
bin11101010001000110110…
…101110011011101001000
321010021100022002202000011
4131101012311303131020
5230423001200012130
64135540415321304
7265210143110044
oct35210665633510
97107308082004
102011233204040
11705a60790295
12285959b20234
131178738a0478
146d4b6707024
15374b428452a
hex1d446d73748

2011233204040 has 128 divisors (see below), whose sum is σ = 4812960902400. Its totient is φ = 754236748800.

The previous prime is 2011233204011. The next prime is 2011233204049. The reversal of 2011233204040 is 404023321102.

It is not an unprimeable number, because it can be changed into a prime (2011233204049) 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, 196270197 + ... + 196280443.

It is an arithmetic number, because the mean of its divisors is an integer number (37601257050).

Almost surely, 22011233204040 is an apocalyptic number.

2011233204040 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 2011233204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406480451200).

2011233204040 is an abundant number, since it is smaller than the sum of its proper divisors (2801727698360).

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

2011233204040 is a wasteful number, since it uses less digits than its factorization.

2011233204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935 (or 12931 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2011233204040 its reverse (404023321102), we get a palindrome (2415256525142).

The spelling of 2011233204040 in words is "two trillion, eleven billion, two hundred thirty-three million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 101 152 190 202 380 404 505 760 808 1010 1919 2020 2557 3838 4040 5114 7676 9595 10228 10247 12785 15352 19190 20456 20494 25570 38380 40988 48583 51140 51235 76760 81976 97166 102280 102470 194332 194693 204940 242915 258257 388664 389386 409880 485830 516514 778772 971660 973465 1033028 1034947 1291285 1557544 1943320 1946930 2066056 2069894 2582570 3893860 4139788 4906883 5165140 5174735 7787720 8279576 9813766 10330280 10349470 19627532 19663993 20698940 24534415 26201579 39255064 39327986 41397880 49068830 52403158 78655972 98137660 98319965 104806316 131007895 157311944 196275320 196639930 209612632 262015790 393279860 497830001 524031580 786559720 995660002 1048063160 1991320004 2489150005 2646359479 3982640008 4978300010 5292718958 9956600020 10585437916 13231797395 19913200040 21170875832 26463594790 50280830101 52927189580 100561660202 105854379160 201123320404 251404150505 402246640808 502808301010 1005616602020 2011233204040