Search a number
-
+
1130310133100 = 2252191271218371
BaseRepresentation
bin10000011100101011101…
…110111110010101101100
311000001112020221001201222
4100130223232332111230
5122004333343224400
62223131324522512
7144443065415351
oct20345356762554
94001466831658
101130310133100
113a63a866a675
1216308a6b0438
13827844a8485
143c9c8ba2628
151e60693b185
hex1072bbbe56c

1130310133100 has 72 divisors (see below), whose sum is σ = 2474724274176. Its totient is φ = 448095240000.

The previous prime is 1130310133087. The next prime is 1130310133157. The reversal of 1130310133100 is 13310130311.

It is a super-2 number, since 2×11303101331002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5066915 + ... + 5285285.

Almost surely, 21130310133100 is an apocalyptic number.

1130310133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130310133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237362137088).

1130310133100 is an abundant number, since it is smaller than the sum of its proper divisors (1344414141076).

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

1130310133100 is a wasteful number, since it uses less digits than its factorization.

1130310133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218847 (or 218840 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1130310133100 its reverse (13310130311), we get a palindrome (1143620263411).

The spelling of 1130310133100 in words is "one trillion, one hundred thirty billion, three hundred ten million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 271 382 542 764 955 1084 1355 1910 2710 3820 4775 5420 6775 9550 13550 19100 27100 51761 103522 207044 218371 258805 436742 517610 873484 1035220 1091855 1294025 2183710 2588050 4367420 5176100 5459275 10918550 21837100 41708861 59178541 83417722 118357082 166835444 208544305 236714164 295892705 417088610 591785410 834177220 1042721525 1183570820 1479463525 2085443050 2958927050 4170886100 5917854100 11303101331 22606202662 45212405324 56515506655 113031013310 226062026620 282577533275 565155066550 1130310133100