Search a number
-
+
11101890119152 = 2471092234078003
BaseRepresentation
bin1010000110001101110000…
…1101111000010111110000
31110022022220210220000121011
42201203130031320113300
52423343132332303102
635340045442240304
72224041120666310
oct241433415702760
943268823800534
1011101890119152
1135a0315601558
1212b3754656094
13626b996b7aa1
142a549764b440
15143bbb7ee2d7
hexa18dc3785f0

11101890119152 has 80 divisors (see below), whose sum is σ = 24919540602880. Its totient is φ = 4693160445696.

The previous prime is 11101890119147. The next prime is 11101890119153. The reversal of 11101890119152 is 25191109810111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101890119153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683383 + ... + 4761385.

It is an arithmetic number, because the mean of its divisors is an integer number (311494257536).

Almost surely, 211101890119152 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 11101890119152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12459770301440).

11101890119152 is an abundant number, since it is smaller than the sum of its proper divisors (13817650483728).

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

11101890119152 is a wasteful number, since it uses less digits than its factorization.

11101890119152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078350 (or 4078344 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 40.

Adding to 11101890119152 its reverse (25191109810111), we get a palindrome (36292999929263).

The spelling of 11101890119152 in words is "eleven trillion, one hundred one billion, eight hundred ninety million, one hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 223 436 446 763 872 892 1526 1561 1744 1784 3052 3122 3568 6104 6244 12208 12488 24307 24976 48614 97228 170149 194456 340298 388912 680596 1361192 2722384 4078003 8156006 16312012 28546021 32624024 57092042 65248048 114184084 228368168 444502327 456736336 889004654 909394669 1778009308 1818789338 3111516289 3556018616 3637578676 6223032578 6365762683 7112037232 7275157352 12446065156 12731525366 14550314704 24892130312 25463050732 49784260624 50926101464 99124018921 101852202928 198248037842 396496075684 693868132447 792992151368 1387736264894 1585984302736 2775472529788 5550945059576 11101890119152