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2311121430 = 2335194310477
BaseRepresentation
bin1000100111000000…
…1110101000010110
312222001210010121000
42021300032220112
514213121341210
61021155204130
7111162131232
oct21160165026
95861703530
102311121430
11a86627812
12545ba6646
132aaa6a297
1417cd255c2
15d7d6bac0
hex89c0ea16

2311121430 has 128 divisors (see below), whose sum is σ = 6638860800. Its totient is φ = 570229632.

The previous prime is 2311121413. The next prime is 2311121431. The reversal of 2311121430 is 341211132.

2311121430 is a `hidden beast` number, since 231 + 1 + 1 + 2 + 1 + 430 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311121431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215352 + ... + 225828.

It is an arithmetic number, because the mean of its divisors is an integer number (51866100).

Almost surely, 22311121430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311121430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319430400).

2311121430 is an abundant number, since it is smaller than the sum of its proper divisors (4327739370).

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

2311121430 is a wasteful number, since it uses less digits than its factorization.

2311121430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2311121430 is about 48074.1243289984. The cubic root of 2311121430 is about 1322.1302895095.

Adding to 2311121430 its reverse (341211132), we get a palindrome (2652332562).

The spelling of 2311121430 in words is "two billion, three hundred eleven million, one hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 43 45 54 57 86 90 95 114 129 135 171 190 215 258 270 285 342 387 430 513 570 645 774 817 855 1026 1161 1290 1634 1710 1935 2322 2451 2565 3870 4085 4902 5130 5805 7353 8170 10477 11610 12255 14706 20954 22059 24510 31431 36765 44118 52385 62862 73530 94293 104770 110295 157155 188586 199063 220590 282879 314310 398126 450511 471465 565758 597189 901022 942930 995315 1194378 1351533 1414395 1791567 1990630 2252555 2703066 2828790 2985945 3583134 4054599 4505110 5374701 5971890 6757665 8109198 8559709 8957835 10749402 12163797 13515330 17119418 17915670 20272995 24327594 25679127 26873505 40545990 42798545 51358254 53747010 60818985 77037381 85597090 121637970 128395635 154074762 231112143 256791270 385186905 462224286 770373810 1155560715 2311121430