Search a number
-
+
1100202311320 = 235711334772513
BaseRepresentation
bin10000000000101001001…
…010101111111010011000
310220011210222202020200121
4100000221022233322120
5121011203242430240
62201232001443024
7142326016226320
oct20005112577230
93804728666617
101100202311320
11394658582532
12159287640474
137c996991608
143b3702cc280
151d94361504a
hex100292afe98

1100202311320 has 64 divisors (see below), whose sum is σ = 2854127949120. Its totient is φ = 373874049024.

The previous prime is 1100202311317. The next prime is 1100202311353. The reversal of 1100202311320 is 231132020011.

It is a junction number, because it is equal to n+sod(n) for n = 1100202311294 and 1100202311303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17354617 + ... + 17417896.

It is an arithmetic number, because the mean of its divisors is an integer number (44595749205).

Almost surely, 21100202311320 is an apocalyptic number.

1100202311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100202311320 is an abundant number, since it is smaller than the sum of its proper divisors (1753925637800).

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

1100202311320 is a wasteful number, since it uses less digits than its factorization.

1100202311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34772644 (or 34772640 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1100202311320 its reverse (231132020011), we get a palindrome (1331334331331).

The spelling of 1100202311320 in words is "one trillion, one hundred billion, two hundred two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1582 2260 3164 3955 4520 6328 7910 15820 31640 34772513 69545026 139090052 173862565 243407591 278180104 347725130 486815182 695450260 973630364 1217037955 1390900520 1947260728 2434075910 3929293969 4868151820 7858587938 9736303640 15717175876 19646469845 27505057783 31434351752 39292939690 55010115566 78585879380 110020231132 137525288915 157171758760 220040462264 275050577830 550101155660 1100202311320