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2233103132331 = 326140963115761
BaseRepresentation
bin100000011111101111010…
…100011010011010101011
321220111000210111220010200
4200133233110122122223
5243041343400213311
64425512354043243
7320223243302661
oct40375724323253
97814023456120
102233103132331
11791065557295
12300959879523
13132771acc2c6
147a12318ac31
153d14c6e2556
hex207ef51a6ab

2233103132331 has 48 divisors (see below), whose sum is σ = 3291905048640. Its totient is φ = 1458342144000.

The previous prime is 2233103132263. The next prime is 2233103132387. The reversal of 2233103132331 is 1332313013322.

2233103132331 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 10 + 313 + 2 + 331 = 666.

It is not a de Polignac number, because 2233103132331 - 235 = 2198743393963 is a prime.

It is a super-2 number, since 2×22331031323312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2233103132295 and 2233103132304.

It is not an unprimeable number, because it can be changed into a prime (2233103132531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141677491 + ... + 141693251.

It is an arithmetic number, because the mean of its divisors is an integer number (68581355180).

Almost surely, 22233103132331 is an apocalyptic number.

2233103132331 is a deficient number, since it is larger than the sum of its proper divisors (1058801916309).

2233103132331 is a wasteful number, since it uses less digits than its factorization.

2233103132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16868 (or 16865 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2233103132331 its reverse (1332313013322), we get a palindrome (3565416145653).

The spelling of 2233103132331 in words is "two trillion, two hundred thirty-three billion, one hundred three million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 61 183 409 549 631 1227 1893 3681 5679 15761 24949 38491 47283 74847 115473 141849 224541 258079 346419 774237 961421 2322711 2884263 6446249 8652789 9945191 15742819 19338747 29835573 47228457 58016241 89506719 141685371 393221189 606656651 1179663567 1819969953 3538990701 4067583119 5459909859 12202749357 36608248071 248122570259 744367710777 2233103132331