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103536130446 = 23372113346277
BaseRepresentation
bin110000001101100111…
…0111111100110001110
3100220020121111101022000
41200123032333212032
53144020222133241
6115321442333130
710323502405500
oct1403316774616
9326217441260
10103536130446
113aa004a0261
121809605a1a6
1399c02b9518
145022945d70
152a5e8d1eb6
hex181b3bf98e

103536130446 has 96 divisors (see below), whose sum is σ = 270013733280. Its totient is φ = 29319881472.

The previous prime is 103536130427. The next prime is 103536130457. The reversal of 103536130446 is 644031635301.

103536130446 is a `hidden beast` number, since 1 + 0 + 35 + 3 + 613 + 0 + 4 + 4 + 6 = 666.

It is a super-2 number, since 2×1035361304462 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103536130446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125860 + ... + 472136.

It is an arithmetic number, because the mean of its divisors is an integer number (2812643055).

Almost surely, 2103536130446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103536130446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135006866640).

103536130446 is an abundant number, since it is smaller than the sum of its proper divisors (166477602834).

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

103536130446 is a wasteful number, since it uses less digits than its factorization.

103536130446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346415 (or 346402 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 103536130446 its reverse (644031635301), we get a palindrome (747567765747).

The spelling of 103536130446 in words is "one hundred three billion, five hundred thirty-six million, one hundred thirty thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 113 126 147 189 226 294 339 378 441 678 791 882 1017 1323 1582 2034 2373 2646 3051 4746 5537 6102 7119 11074 14238 16611 21357 33222 42714 49833 99666 149499 298998 346277 692554 1038831 2077662 2423939 3116493 4847878 6232986 7271817 9349479 14543634 16967573 18698958 21815451 33935146 39129301 43630902 50902719 65446353 78258602 101805438 117387903 130892706 152708157 234775806 273905107 305416314 352163709 458124471 547810214 704327418 821715321 916248942 1056491127 1643430642 1917335749 2112982254 2465145963 3834671498 4930291926 5752007247 7395437889 11504014494 14790875778 17256021741 34512043482 51768065223 103536130446