Search a number
-
+
1101100020200 = 23529756757733
BaseRepresentation
bin10000000001011110101…
…011001111000111101000
310220021010112221120202122
4100001132223033013220
5121020023101121300
62201501030450412
7142360166513345
oct20013653170750
93807115846678
101101100020200
11394a7928a4a4
12159498203a08
137caaa9651bb
143b41760d7cc
151d99733cc85
hex1005eacf1e8

1101100020200 has 48 divisors (see below), whose sum is σ = 2586449938380. Its totient is φ = 435899381760.

The previous prime is 1101100020121. The next prime is 1101100020203. The reversal of 1101100020200 is 20200011011.

It can be written as a sum of positive squares in 6 ways, for example, as 125442055684 + 975657964516 = 354178^2 + 987754^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1101100020203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28359467 + ... + 28398266.

Almost surely, 21101100020200 is an apocalyptic number.

1101100020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101100020200 is an abundant number, since it is smaller than the sum of its proper divisors (1485349918180).

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

1101100020200 is a wasteful number, since it uses less digits than its factorization.

1101100020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56757846 (or 56757837 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1101100020200 its reverse (20200011011), we get a palindrome (1121300031211).

The spelling of 1101100020200 in words is "one trillion, one hundred one billion, one hundred million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 9700 19400 56757733 113515466 227030932 283788665 454061864 567577330 1135154660 1418943325 2270309320 2837886650 5505500101 5675773300 11011000202 11351546600 22022000404 27527500505 44044000808 55055001010 110110002020 137637502525 220220004040 275275005050 550550010100 1101100020200