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1104131311232 = 272331119310141
BaseRepresentation
bin10000000100010011010…
…110101100011010000000
310220112221210212010022212
4100010103112230122000
5121042230103424412
62203121513521252
7142525255202465
oct20042326543200
93815853763285
101104131311232
113962943822a4
12159ba3413228
1380171984231
143b62403d66c
151dac3513222
hex101135ac680

1104131311232 has 128 divisors (see below), whose sum is σ = 2371533880320. Its totient is φ = 510549811200.

The previous prime is 1104131311229. The next prime is 1104131311321. The reversal of 1104131311232 is 2321131314011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1104131311198 and 1104131311207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108872882 + ... + 108883022.

It is an arithmetic number, because the mean of its divisors is an integer number (18527608440).

Almost surely, 21104131311232 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 1104131311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185766940160).

1104131311232 is an abundant number, since it is smaller than the sum of its proper divisors (1267402569088).

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

1104131311232 is a wasteful number, since it uses less digits than its factorization.

1104131311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11402 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 1104131311232 its reverse (2321131314011), we get a palindrome (3425262625243).

The spelling of 1104131311232 in words is "one trillion, one hundred four billion, one hundred thirty-one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 368 496 713 736 992 1193 1426 1472 1984 2386 2852 2944 3968 4772 5704 9544 10141 11408 19088 20282 22816 27439 36983 38176 40564 45632 54878 73966 76352 81128 91264 109756 147932 152704 162256 219512 233243 295864 314371 324512 439024 466486 591728 628742 649024 850609 878048 932972 1183456 1257484 1298048 1701218 1756096 1865944 2366912 2514968 3402436 3512192 3731888 4733824 5029936 6804872 7230533 7463776 10059872 12098213 13609744 14461066 14927552 20119744 24196426 27219488 28922132 29855104 40239488 48392852 54438976 57844264 96785704 108877952 115688528 193571408 231377056 278258899 375044603 387142816 462754112 556517798 750089206 774285632 925508224 1113035596 1500178412 1548571264 2226071192 3000356824 4452142384 6000713648 8626025869 8904284768 12001427296 17252051738 17808569536 24002854592 34504103476 35617139072 48005709184 69008206952 138016413904 276032827808 552065655616 1104131311232