Search a number
-
+
3433052222001 = 3217236736234019
BaseRepresentation
bin110001111101010001110…
…110111011001000110001
3110011012022022102111021100
4301331101312323020301
5422221342332101001
611145042235315013
7503013143260263
oct61752166731061
913135268374240
103433052222001
111103a49530726
124754222aba69
131bb9739a044c
14bc236a21b33
155e47cbc3586
hex31f51dbb231

3433052222001 has 96 divisors (see below), whose sum is σ = 5563527690240. Its totient is φ = 2028599096832.

The previous prime is 3433052221957. The next prime is 3433052222009. The reversal of 3433052222001 is 1002222503343.

3433052222001 is a `hidden beast` number, since 3 + 433 + 0 + 5 + 2 + 2 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 3433052222001 - 214 = 3433052205617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3433052222009) 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 95 ways as a sum of consecutive naturals, for example, 854203570 + ... + 854207588.

It is an arithmetic number, because the mean of its divisors is an integer number (57953413440).

Almost surely, 23433052222001 is an apocalyptic number.

It is an amenable number.

3433052222001 is a deficient number, since it is larger than the sum of its proper divisors (2130475468239).

3433052222001 is a wasteful number, since it uses less digits than its factorization.

3433052222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7755 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 3433052222001 its reverse (1002222503343), we get a palindrome (4435274725344).

The spelling of 3433052222001 in words is "three trillion, four hundred thirty-three billion, fifty-two million, two hundred twenty-two thousand, one".

Divisors: 1 3 9 17 23 51 67 69 153 201 207 391 603 1139 1173 1541 3417 3519 3623 4019 4623 10251 10869 12057 13869 26197 32607 36171 61591 68323 78591 83329 92437 184773 204969 235773 242741 249987 269273 277311 554319 614907 728223 749961 807819 831933 1416593 1571429 2184669 2423457 4126597 4249779 4577641 4714287 5583043 6193279 12379791 12749337 13732923 14142861 14560837 16749129 18579837 37139373 41198769 43682511 50247387 55739511 94911731 105285743 131047533 247534229 284735193 315857229 334899251 742602687 854205579 947571687 975576079 1004697753 2227808061 2926728237 3014093259 5693287267 8780184711 16584793343 17079861801 22438249817 49754380029 51239585403 67314749451 149263140087 201944248353 381450246889 1144350740667 3433052222001