Search a number
-
+
10520540123130 = 233550976551991
BaseRepresentation
bin1001100100011000000100…
…0011101000111111111010
31101020202100112022022222000
42121012001003220333322
52334332031232420010
634213022554241430
72134040535364602
oct231060103507772
941222315268860
1010520540123130
1133968106a1a94
12121ab4b726276
135b410c8438bb
142852a8275c02
151339e3e337c0
hex991810e8ffa

10520540123130 has 64 divisors (see below), whose sum is σ = 28109891462400. Its totient is φ = 2799965586240.

The previous prime is 10520540123129. The next prime is 10520540123141. The reversal of 10520540123130 is 3132104502501.

10520540123130 is a `hidden beast` number, since 1 + 0 + 5 + 20 + 5 + 401 + 231 + 3 + 0 = 666.

It is a super-2 number, since 2×105205401231302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10520540123094 and 10520540123103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38138566 + ... + 38413425.

It is an arithmetic number, because the mean of its divisors is an integer number (439217054100).

Almost surely, 210520540123130 is an apocalyptic number.

10520540123130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10520540123130 is an abundant number, since it is smaller than the sum of its proper divisors (17589351339270).

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

10520540123130 is a wasteful number, since it uses less digits than its factorization.

10520540123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76552516 (or 76552510 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10520540123130 its reverse (3132104502501), we get a palindrome (13652644625631).

The spelling of 10520540123130 in words is "ten trillion, five hundred twenty billion, five hundred forty million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 509 1018 1527 2545 3054 4581 5090 7635 9162 13743 15270 22905 27486 45810 68715 137430 76551991 153103982 229655973 382759955 459311946 688967919 765519910 1148279865 1377935838 2066903757 2296559730 3444839595 4133807514 6889679190 10334518785 20669037570 38964963419 77929926838 116894890257 194824817095 233789780514 350684670771 389649634190 584474451285 701369341542 1052054012313 1168948902570 1753423353855 2104108024626 3506846707710 5260270061565 10520540123130