Search a number
-
+
103676311088 = 24719379128549
BaseRepresentation
bin110000010001110010…
…1101111011000110000
3100220121101021021222122
41200203211233120300
53144312113423323
6115343411053412
710330124050430
oct1404345573060
9326541237878
10103676311088
113aa72636029
1218114ba1268
139a1335ab4c
1450373d62c0
152a6bd71ec8
hex182396f630

103676311088 has 80 divisors (see below), whose sum is σ = 242291040000. Its totient is φ = 41982748416.

The previous prime is 103676310989. The next prime is 103676311093. The reversal of 103676311088 is 880113676301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742238 + ... + 870786.

It is an arithmetic number, because the mean of its divisors is an integer number (3028638000).

Almost surely, 2103676311088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103676311088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121145520000).

103676311088 is an abundant number, since it is smaller than the sum of its proper divisors (138614728912).

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

103676311088 is a wasteful number, since it uses less digits than its factorization.

103676311088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128962 (or 128956 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

Adding to 103676311088 its reverse (880113676301), we get a palindrome (983789987389).

The spelling of 103676311088 in words is "one hundred three billion, six hundred seventy-six million, three hundred eleven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 379 532 758 1064 1516 2128 2653 3032 5306 6064 7201 10612 14402 21224 28804 42448 50407 57608 100814 115216 128549 201628 257098 403256 514196 806512 899843 1028392 1799686 2056784 2442431 3599372 4884862 7198744 9769724 14397488 17097017 19539448 34194034 39078896 48720071 68388068 97440142 136776136 194880284 273552272 341040497 389760568 682080994 779521136 925681349 1364161988 1851362698 2728323976 3702725396 5456647952 6479769443 7405450792 12959538886 14810901584 25919077772 51838155544 103676311088