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2311115040 = 2532513123457
BaseRepresentation
bin1000100111000000…
…1101000100100000
312222001202210211100
42021300031010200
514213121140130
61021155114400
7111162103503
oct21160150440
95861683740
102311115040
11a86622a33
12545ba2a00
132aaa673c0
1417cd2313a
15d7d69c60
hex89c0d120

2311115040 has 144 divisors (see below), whose sum is σ = 8493416568. Its totient is φ = 568885248.

The previous prime is 2311115033. The next prime is 2311115047. The reversal of 2311115040 is 405111132.

It is an interprime number because it is at equal distance from previous prime (2311115033) and next prime (2311115047).

It can be written as a sum of positive squares in 4 ways, for example, as 2093611536 + 217503504 = 45756^2 + 14748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23111150402 = 10682505456228403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2311115047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43009 + ... + 80448.

Almost surely, 22311115040 is an apocalyptic number.

2311115040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2311115040 is an abundant number, since it is smaller than the sum of its proper divisors (6182301528).

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

2311115040 is a wasteful number, since it uses less digits than its factorization.

2311115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123491 (or 123480 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2311115040 is about 48074.0578690836. The cubic root of 2311115040 is about 1322.1290709928.

Adding to 2311115040 its reverse (405111132), we get a palindrome (2716226172).

It can be divided in two parts, 231 and 1115040, that added together give a triangular number (1115271 = T1493).

The spelling of 2311115040 in words is "two billion, three hundred eleven million, one hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 123457 246914 370371 493828 617285 740742 987656 1111113 1234570 1481484 1604941 1851855 1975312 2222226 2469140 2962968 3209882 3703710 3950624 4444452 4814823 4938280 5555565 5925936 6419764 7407420 8024705 8888904 9629646 9876560 11111130 11851872 12839528 14444469 14814840 16049410 17777808 19259292 19753120 22222260 24074115 25679056 28888938 29629680 32098820 35555616 38518584 44444520 48148230 51358112 57777876 59259360 64197640 72222345 77037168 88889040 96296460 115555752 128395280 144444690 154074336 177778080 192592920 231111504 256790560 288889380 385185840 462223008 577778760 770371680 1155557520 2311115040