Search a number
-
+
217106106217 = 71113391955343
BaseRepresentation
bin1100101000110010001…
…0000100011101101001
3202202101111102220202221
43022030202010131221
512024113130344332
6243423121154041
721454043311540
oct3121442043551
9682344386687
10217106106217
118408a811a70
12360b048b921
131761c2b3510
14a717d01157
1559aa10a297
hex328c884769

217106106217 has 32 divisors (see below), whose sum is σ = 291578757120. Its totient is φ = 156117568320.

The previous prime is 217106106143. The next prime is 217106106227. The reversal of 217106106217 is 712601601712.

It is a de Polignac number, because none of the positive numbers 2k-217106106217 is a prime.

It is a super-2 number, since 2×2171061062172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (217106106227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3895248 + ... + 3950590.

It is an arithmetic number, because the mean of its divisors is an integer number (9111836160).

Almost surely, 2217106106217 is an apocalyptic number.

It is an amenable number.

217106106217 is a deficient number, since it is larger than the sum of its proper divisors (74472650903).

217106106217 is a wasteful number, since it uses less digits than its factorization.

217106106217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59293.

The product of its (nonzero) digits is 7056, while the sum is 34.

Adding to 217106106217 its reverse (712601601712), we get a palindrome (929707707929).

It can be divided in two parts, 217106 and 106217, that added together give a palindrome (323323).

The spelling of 217106106217 in words is "two hundred seventeen billion, one hundred six million, one hundred six thousand, two hundred seventeen".

Divisors: 1 7 11 13 77 91 143 1001 3919 27433 43109 50947 55343 301763 356629 387401 560417 608773 719459 3922919 4261411 5036213 7914049 55398343 216889217 1518224519 2385781387 2819559821 16700469709 19736918747 31015158031 217106106217