Search a number
-
+
2311114203432 = 23321391637141067
BaseRepresentation
bin100001101000011001001…
…001000010000100101000
322011221101112002220121100
4201220121021002010220
5300331130214002212
64525413342041400
7325654364413026
oct41503111020450
98157345086540
102311114203432
11811157798681
12313aab579260
13139c24b64cc8
147dc03b0d716
15401b6288bdc
hex21a19242128

2311114203432 has 96 divisors (see below), whose sum is σ = 6308194183200. Its totient is φ = 764356528512.

The previous prime is 2311114203413. The next prime is 2311114203439. The reversal of 2311114203432 is 2343024111132.

2311114203432 is a `hidden beast` number, since 2 + 3 + 1 + 11 + 14 + 203 + 432 = 666.

It is a super-2 number, since 2×23111142034322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2311114203396 and 2311114203405.

It is not an unprimeable number, because it can be changed into a prime (2311114203439) 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 23 ways as a sum of consecutive naturals, for example, 16312563 + ... + 16453629.

It is an arithmetic number, because the mean of its divisors is an integer number (65710356075).

Almost surely, 22311114203432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311114203432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154097091600).

2311114203432 is an abundant number, since it is smaller than the sum of its proper divisors (3997079979768).

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

2311114203432 is a wasteful number, since it uses less digits than its factorization.

2311114203432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142855 (or 142848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2311114203432 its reverse (2343024111132), we get a palindrome (4654138314564).

The spelling of 2311114203432 in words is "two trillion, three hundred eleven billion, one hundred fourteen million, two hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1637 1668 2502 3274 3336 4911 5004 6548 9822 10008 13096 14733 19644 29466 39288 58932 117864 141067 227543 282134 423201 455086 564268 682629 846402 910172 1128536 1269603 1365258 1692804 1820344 2047887 2539206 2730516 3385608 4095774 5078412 5461032 8191548 10156824 16383096 19608313 39216626 58824939 78433252 117649878 156866504 176474817 230926679 235299756 352949634 461853358 470599512 692780037 705899268 923706716 1385560074 1411798536 1847413432 2078340111 2771120148 4156680222 5542240296 8313360444 16626720888 32098808381 64197616762 96296425143 128395233524 192592850286 256790467048 288889275429 385185700572 577778550858 770371401144 1155557101716 2311114203432