Search a number
-
+
2111011040 = 255174318049
BaseRepresentation
bin111110111010011…
…0111100011100000
312110010020110202002
41331310313203200
513310404323130
6545250143132
7103212204065
oct17564674340
95403213662
102111011040
11993679926
124aab81aa8
13278474978
14160514c6c
15c54deb45
hex7dd378e0

2111011040 has 96 divisors (see below), whose sum is σ = 5403736800. Its totient is φ = 776208384.

The previous prime is 2111011037. The next prime is 2111011043. The reversal of 2111011040 is 401101112.

It is an interprime number because it is at equal distance from previous prime (2111011037) and next prime (2111011043).

It is a super-2 number, since 2×21110110402 = 8912735222003763200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111011043) 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, 107936 + ... + 125984.

It is an arithmetic number, because the mean of its divisors is an integer number (56288925).

Almost surely, 22111011040 is an apocalyptic number.

2111011040 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 2111011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701868400).

2111011040 is an abundant number, since it is smaller than the sum of its proper divisors (3292725760).

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

2111011040 is a wasteful number, since it uses less digits than its factorization.

2111011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18124 (or 18116 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2111011040 is about 45945.7401725122. The cubic root of 2111011040 is about 1282.8134404325.

Adding to 2111011040 its reverse (401101112), we get a palindrome (2512112152).

The spelling of 2111011040 in words is "two billion, one hundred eleven million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 68 80 85 86 136 160 170 172 215 272 340 344 430 544 680 688 731 860 1360 1376 1462 1720 2720 2924 3440 3655 5848 6880 7310 11696 14620 18049 23392 29240 36098 58480 72196 90245 116960 144392 180490 288784 306833 360980 577568 613666 721960 776107 1227332 1443920 1534165 1552214 2454664 2887840 3068330 3104428 3880535 4909328 6136660 6208856 7761070 9818656 12273320 12417712 13193819 15522140 24546640 24835424 26387638 31044280 49093280 52775276 62088560 65969095 105550552 124177120 131938190 211101104 263876380 422202208 527752760 1055505520 2111011040