Search a number
-
+
10045363540122 = 2331787275337813
BaseRepresentation
bin1001001000101101111001…
…0100110101000010011010
31022120022211122201212012000
42102023132110311002122
52304040401031240442
633210435403101430
72054516321152311
oct222133624650232
938508748655160
1010045363540122
11322323a922149
121162a37b11876
1357b373483861
1426a2abb91278
15126482741d4c
hex922de53509a

10045363540122 has 64 divisors (see below), whose sum is σ = 22344226047360. Its totient is φ = 3345276644352.

The previous prime is 10045363540039. The next prime is 10045363540129. The reversal of 10045363540122 is 22104536354001.

10045363540122 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 5 + 3 + 635 + 4 + 0 + 12 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10045363540129) 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, 265640088 + ... + 265677900.

It is an arithmetic number, because the mean of its divisors is an integer number (349128531990).

Almost surely, 210045363540122 is an apocalyptic number.

10045363540122 is an abundant number, since it is smaller than the sum of its proper divisors (12298862507238).

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

10045363540122 is a wasteful number, since it uses less digits than its factorization.

10045363540122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42364 (or 42358 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10045363540122 its reverse (22104536354001), we get a palindrome (32149899894123).

The spelling of 10045363540122 in words is "ten trillion, forty-five billion, three hundred sixty-three million, five hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 1787 2753 3574 5361 5506 8259 10722 16083 16518 24777 32166 37813 48249 49554 74331 75626 96498 113439 148662 226878 340317 680634 1020951 2041902 4919611 9839222 14758833 29517666 44276499 67571831 88552998 104099189 132829497 135143662 202715493 208198378 265658994 312297567 405430986 608146479 624595134 936892701 1216292958 1824439437 1873785402 2810678103 3648878874 5621356206 186025250743 372050501486 558075752229 1116151504458 1674227256687 3348454513374 5022681770061 10045363540122