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2113011040 = 25579671951
BaseRepresentation
bin111110111110001…
…1111110101100000
312110021000002020011
41331330133311200
513311412323130
6545401054304
7103235204020
oct17574376540
95407002204
102113011040
11994815518
124ab787394
132789c50ba
141608b5a80
15c578752a
hex7df1fd60

2113011040 has 96 divisors (see below), whose sum is σ = 5713956864. Its totient is φ = 723340800.

The previous prime is 2113011031. The next prime is 2113011041. The reversal of 2113011040 is 401103112.

It is a self number, because there is not a number n which added to its sum of digits gives 2113011040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113011041) 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, 1082065 + ... + 1084015.

It is an arithmetic number, because the mean of its divisors is an integer number (59520384).

Almost surely, 22113011040 is an apocalyptic number.

2113011040 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 2113011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856978432).

2113011040 is an abundant number, since it is smaller than the sum of its proper divisors (3600945824).

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

2113011040 is a wasteful number, since it uses less digits than its factorization.

2113011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2113011040 is about 45967.4998232447. The cubic root of 2113011040 is about 1283.2184307463.

Adding to 2113011040 its reverse (401103112), we get a palindrome (2514114152).

The spelling of 2113011040 in words is "two billion, one hundred thirteen million, eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 967 1120 1934 1951 3868 3902 4835 6769 7736 7804 9670 9755 13538 13657 15472 15608 19340 19510 27076 27314 30944 31216 33845 38680 39020 54152 54628 62432 67690 68285 77360 78040 108304 109256 135380 136570 154720 156080 216608 218512 270760 273140 312160 437024 541520 546280 1083040 1092560 1886617 2185120 3773234 7546468 9433085 13206319 15092936 18866170 26412638 30185872 37732340 52825276 60371744 66031595 75464680 105650552 132063190 150929360 211301104 264126380 301858720 422602208 528252760 1056505520 2113011040