Search a number
-
+
1111301133312 = 2103929389399
BaseRepresentation
bin10000001010111110101…
…101011001010000000000
310221020110111010211012210
4100022332231121100000
5121201421042231222
62210305200022120
7143201035530036
oct20127655312000
93836414124183
101111301133312
11399333577797
1215b464601940
1380a452094c6
143bb04364556
151dd92bc4d0c
hex102beb59400

1111301133312 has 88 divisors (see below), whose sum is σ = 2965218696000. Its totient is φ = 370034016256.

The previous prime is 1111301133307. The next prime is 1111301133337. The reversal of 1111301133312 is 2133311031111.

It is a super-4 number, since 4×11113011333124 (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2659189 + ... + 3048587.

It is an arithmetic number, because the mean of its divisors is an integer number (33695667000).

Almost surely, 21111301133312 is an apocalyptic number.

1111301133312 is a gapful number since it is divisible by the number (12) 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 1111301133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482609348000).

1111301133312 is an abundant number, since it is smaller than the sum of its proper divisors (1853917562688).

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

1111301133312 is an equidigital number, since it uses as much as digits as its factorization.

1111301133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390351 (or 390333 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 1111301133312 its reverse (2133311031111), we get a palindrome (3244612164423).

The spelling of 1111301133312 in words is "one trillion, one hundred eleven billion, three hundred one million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 929 1024 1536 1858 2787 3072 3716 5574 7432 11148 14864 22296 29728 44592 59456 89184 118912 178368 237824 356736 389399 475648 713472 778798 951296 1168197 1426944 1557596 2336394 2853888 3115192 4672788 6230384 9345576 12460768 18691152 24921536 37382304 49843072 74764608 99686144 149529216 199372288 299058432 361751671 398744576 598116864 723503342 1085255013 1196233728 1447006684 2170510026 2894013368 4341020052 5788026736 8682040104 11576053472 17364080208 23152106944 34728160416 46304213888 69456320832 92608427776 138912641664 185216855552 277825283328 370433711104 555650566656 1111301133312