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11130313210020 = 2232575781684377
BaseRepresentation
bin1010000111110111101001…
…0111010111100010100100
31110102001021122221122022100
42201331322113113202210
52424324340140210040
635401110103532100
72226065352166404
oct241757227274244
943361248848270
1011130313210020
1136013807053a4
1212b916745a030
13629779170354
142a69d2492804
151447d1c8ab30
hexa1f7a5d78a4

11130313210020 has 72 divisors (see below), whose sum is σ = 33806550154104. Its totient is φ = 2964162636288.

The previous prime is 11130313209971. The next prime is 11130313210033. The reversal of 11130313210020 is 2001231303111.

11130313210020 is a `hidden beast` number, since 11 + 130 + 313 + 210 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3435714330624 + 7694598879396 = 1853568^2 + 2773914^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11130313209975 and 11130313210002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40705929 + ... + 40978448.

It is an arithmetic number, because the mean of its divisors is an integer number (469535418807).

Almost surely, 211130313210020 is an apocalyptic number.

11130313210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130313210020 is an abundant number, since it is smaller than the sum of its proper divisors (22676236944084).

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

11130313210020 is a wasteful number, since it uses less digits than its factorization.

11130313210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81685149 (or 81685144 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11130313210020 its reverse (2001231303111), we get a palindrome (13131544513131).

The spelling of 11130313210020 in words is "eleven trillion, one hundred thirty billion, three hundred thirteen million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 757 1514 2271 3028 3785 4542 6813 7570 9084 11355 13626 15140 22710 27252 34065 45420 68130 136260 81684377 163368754 245053131 326737508 408421885 490106262 735159393 816843770 980212524 1225265655 1470318786 1633687540 2450531310 2940637572 3675796965 4901062620 7351593930 14703187860 61835073389 123670146778 185505220167 247340293556 309175366945 371010440334 556515660501 618350733890 742020880668 927526100835 1113031321002 1236701467780 1855052201670 2226062642004 2782578302505 3710104403340 5565156605010 11130313210020