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2113211040 = 253519322811
BaseRepresentation
bin111110111110101…
…0000101010100000
312110021101020120120
41331331100222200
513311440223130
6545405240240
7103236666063
oct17575205240
95407336516
102113211040
11994941806
124ab863080
13278a65145
141609288da
15c57c6910
hex7df50aa0

2113211040 has 96 divisors (see below), whose sum is σ = 6691398336. Its totient is φ = 560578560.

The previous prime is 2113211011. The next prime is 2113211041. The reversal of 2113211040 is 401123112.

2113211040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2113211041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81235 + ... + 104045.

It is an arithmetic number, because the mean of its divisors is an integer number (69702066).

Almost surely, 22113211040 is an apocalyptic number.

2113211040 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 2113211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345699168).

2113211040 is an abundant number, since it is smaller than the sum of its proper divisors (4578187296).

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

2113211040 is a wasteful number, since it uses less digits than its factorization.

2113211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23022 (or 23014 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2113211040 is about 45969.6752218242. The cubic root of 2113211040 is about 1283.2589157200.

Adding to 2113211040 its reverse (401123112), we get a palindrome (2514334152).

The spelling of 2113211040 in words is "two billion, one hundred thirteen million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6176 7720 9264 11580 15440 18528 22811 23160 30880 45622 46320 68433 91244 92640 114055 136866 182488 228110 273732 342165 364976 456220 547464 684330 729952 912440 1094928 1368660 1824880 2189856 2737320 3649760 4402523 5474640 8805046 10949280 13207569 17610092 22012615 26415138 35220184 44025230 52830276 66037845 70440368 88050460 105660552 132075690 140880736 176100920 211321104 264151380 352201840 422642208 528302760 704403680 1056605520 2113211040