Search a number
-
+
103020362550 = 23252755635879
BaseRepresentation
bin101111111110001111…
…1011111101100110110
3100211220122222122202100
41133330133133230312
53141441203100200
6115154335522530
710304640430140
oct1377437375466
9324818878670
10103020362550
113a7663441a6
1217b71389446
13993a4a3411
144db4247c90
152a2e4a1d00
hex17fc7dfb36

103020362550 has 144 divisors (see below), whose sum is σ = 316432247040. Its totient is φ = 23539273920.

The previous prime is 103020362503. The next prime is 103020362563. The reversal of 103020362550 is 55263020301.

103020362550 is a `hidden beast` number, since 1 + 0 + 30 + 2 + 0 + 3 + 625 + 5 + 0 = 666.

It is a super-2 number, since 2×1030203625502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17520511 + ... + 17526389.

It is an arithmetic number, because the mean of its divisors is an integer number (2197446160).

Almost surely, 2103020362550 is an apocalyptic number.

103020362550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103020362550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158216123520).

103020362550 is an abundant number, since it is smaller than the sum of its proper divisors (213411884490).

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

103020362550 is a wasteful number, since it uses less digits than its factorization.

103020362550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11467 (or 11459 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 103020362550 its reverse (55263020301), we get a palindrome (158283382851).

The spelling of 103020362550 in words is "one hundred three billion, twenty million, three hundred sixty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 5563 5879 11126 11758 16689 17637 27815 29395 33378 35274 38941 41153 50067 52911 55630 58790 77882 82306 83445 88185 100134 105822 116823 123459 139075 146975 166890 176370 194705 205765 233646 246918 250335 264555 278150 293950 350469 370377 389410 411530 417225 440925 500670 529110 584115 617295 700938 740754 834450 881850 973525 1028825 1168230 1234590 1251675 1322775 1752345 1851885 1947050 2057650 2503350 2645550 2920575 3086475 3504690 3703770 5841150 6172950 8761725 9259425 17523450 18518850 32704877 65409754 98114631 163524385 196229262 228934139 294343893 327048770 457868278 490573155 588687786 686802417 817621925 981146310 1144670695 1373604834 1471719465 1635243850 2060407251 2289341390 2452865775 2943438930 3434012085 4120814502 4905731550 5723353475 6868024170 7358597325 10302036255 11446706950 14717194650 17170060425 20604072510 34340120850 51510181275 103020362550