Search a number
-
+
1131312121192 = 2311217956311597
BaseRepresentation
bin10000011101100111011…
…101010000010101101000
311000011010002100100000001
4100131213131100111220
5122013411400334232
62223415000552344
7144506653236421
oct20354735202550
94004102310001
101131312121192
113a6872221100
1216330a1826b4
13828b3c60536
143ca81caa648
151e6648b16e7
hex10767750568

1131312121192 has 96 divisors (see below), whose sum is σ = 2348970775200. Its totient is φ = 510407680640.

The previous prime is 1131312121189. The next prime is 1131312121207. The reversal of 1131312121192 is 2911212131311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131312121192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97546338 + ... + 97557934.

It is an arithmetic number, because the mean of its divisors is an integer number (24468445575).

Almost surely, 21131312121192 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 1131312121192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174485387600).

1131312121192 is an abundant number, since it is smaller than the sum of its proper divisors (1217658654008).

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

1131312121192 is a wasteful number, since it uses less digits than its factorization.

1131312121192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12367 (or 12352 counting only the distinct ones).

The product of its digits is 648, while the sum is 28.

The spelling of 1131312121192 in words is "one trillion, one hundred thirty-one billion, three hundred twelve million, one hundred twenty-one thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 121 179 242 358 484 563 716 968 1126 1432 1969 2252 3938 4504 6193 7876 11597 12386 15752 21659 23194 24772 43318 46388 49544 68123 86636 92776 100777 127567 136246 173272 201554 255134 272492 403108 510268 544984 806216 1020536 1108547 1403237 2075863 2217094 2806474 4151726 4434188 5612948 6529111 8303452 8868376 11225896 12194017 13058222 16606904 22834493 24388034 26116444 45668986 48776068 52232888 71820221 91337972 97552136 143640442 182675944 251179423 287280884 502358846 574561768 790022431 1004717692 1168710869 1580044862 2009435384 2337421738 3160089724 4674843476 6320179448 9349686952 12855819559 25711639118 51423278236 102846556472 141414015149 282828030298 565656060596 1131312121192