Search a number
-
+
2113421300232 = 2331167971231787
BaseRepresentation
bin11110110000010001101…
…110011101001000001000
321111001002222000212221120
4132300101232131020020
5234111241323101412
64254520425035240
7305455356435534
oct36602156351010
97431088025846
102113421300232
1174532a255450
122a1718625b20
131243aa804288
147440c1c6bc4
1539e95638b8c
hex1ec11b9d208

2113421300232 has 128 divisors (see below), whose sum is σ = 5910217367040. Its totient is φ = 624367687680.

The previous prime is 2113421300227. The next prime is 2113421300267. The reversal of 2113421300232 is 2320031243112.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1099843 + ... + 2331629.

It is an arithmetic number, because the mean of its divisors is an integer number (46173573180).

Almost surely, 22113421300232 is an apocalyptic number.

2113421300232 is a gapful number since it is divisible by the number (22) 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 2113421300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955108683520).

2113421300232 is an abundant number, since it is smaller than the sum of its proper divisors (3796796066808).

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

2113421300232 is a wasteful number, since it uses less digits than its factorization.

2113421300232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231971 (or 1231967 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2113421300232 its reverse (2320031243112), we get a palindrome (4433452543344).

The spelling of 2113421300232 in words is "two trillion, one hundred thirteen billion, four hundred twenty-one million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 97 132 134 194 201 264 268 291 388 402 536 582 737 776 804 1067 1164 1474 1608 2134 2211 2328 2948 3201 4268 4422 5896 6402 6499 8536 8844 12804 12998 17688 19497 25608 25996 38994 51992 71489 77988 142978 155976 214467 285956 428934 571912 857868 1231787 1715736 2463574 3695361 4927148 7390722 9854296 13549657 14781444 27099314 29562888 40648971 54198628 81297942 82529729 108397256 119483339 162595884 165059458 238966678 247589187 325191768 330118916 358450017 477933356 495178374 660237832 716900034 907827019 955866712 990356748 1314316729 1433800068 1815654038 1980713496 2628633458 2723481057 2867600136 3631308076 3942950187 5257266916 5446962114 7262616152 7885900374 8005383713 10514533832 10893924228 15771800748 16010767426 21787848456 24016151139 31543601496 32021534852 48032302278 64043069704 88059220843 96064604556 176118441686 192129209112 264177662529 352236883372 528355325058 704473766744 1056710650116 2113421300232