Search a number
-
+
106410520242 = 232134177108869
BaseRepresentation
bin110001100011010001…
…1111010111010110010
3101011122221011111211100
41203012203322322302
53220412043121432
6120515002425230
710454644332615
oct1430643727262
9334587144740
10106410520242
1141145a67914
1218758802216
13a05a9613a0
1452165b217c
152b7be1307c
hex18c68faeb2

106410520242 has 48 divisors (see below), whose sum is σ = 248352937560. Its totient is φ = 32733559296.

The previous prime is 106410520217. The next prime is 106410520253. The reversal of 106410520242 is 242025014601.

106410520242 is a `hidden beast` number, since 1 + 0 + 6 + 410 + 5 + 2 + 0 + 242 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97600632921 + 8809887321 = 312411^2 + 93861^2 .

It is a super-2 number, since 2×1064105202422 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922984 + ... + 1031852.

Almost surely, 2106410520242 is an apocalyptic number.

106410520242 is an abundant number, since it is smaller than the sum of its proper divisors (141942417318).

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

106410520242 is a wasteful number, since it uses less digits than its factorization.

106410520242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113067 (or 113064 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 106410520242 its reverse (242025014601), we get a palindrome (348435534843).

The spelling of 106410520242 in words is "one hundred six billion, four hundred ten million, five hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4177 8354 12531 25062 37593 54301 75186 108602 108869 162903 217738 325806 326607 488709 653214 977418 979821 1415297 1959642 2830594 4245891 8491782 12737673 25475346 454745813 909491626 1364237439 2728474878 4092712317 5911695569 8185424634 11823391138 17735086707 35470173414 53205260121 106410520242