Search a number
-
+
102015440532 = 223215718049441
BaseRepresentation
bin101111100000010011…
…0000001011010010100
3100202022122001022220100
41133000212001122110
53132411423044112
6114510520534100
710241015636265
oct1370046013224
9322278038810
10102015440532
113a2a0069435
1217930921330
13980a231ac5
144d1a9b896c
1529c114c2dc
hex17c0981694

102015440532 has 36 divisors (see below), whose sum is σ = 259514877076. Its totient is φ = 33788551680.

The previous prime is 102015440521. The next prime is 102015440563. The reversal of 102015440532 is 235044510201.

102015440532 is a `hidden beast` number, since 1 + 0 + 201 + 54 + 405 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28397642256 + 73617798276 = 168516^2 + 271326^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 102015440496 and 102015440505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9019069 + ... + 9030372.

Almost surely, 2102015440532 is an apocalyptic number.

102015440532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102015440532 is an abundant number, since it is smaller than the sum of its proper divisors (157499436544).

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

102015440532 is a wasteful number, since it uses less digits than its factorization.

102015440532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18049608 (or 18049603 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 102015440532 its reverse (235044510201), we get a palindrome (337059950733).

The spelling of 102015440532 in words is "one hundred two billion, fifteen million, four hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 18049441 36098882 54148323 72197764 108296646 162444969 216593292 324889938 649779876 2833762237 5667524474 8501286711 11335048948 17002573422 25503860133 34005146844 51007720266 102015440532