Search a number
-
+
1011433411300 = 2252131495221649
BaseRepresentation
bin11101011011111100010…
…00010001001011100100
310120200200112101220020211
432231332020101023210
5113032403423130200
62052351320105204
7133034156100454
oct16557610211344
93520615356224
101011433411300
1135aa4587a044
12144033005204
13744bac32380
1436d4cad7d64
151b49a3b8aba
hexeb7e2112e4

1011433411300 has 72 divisors (see below), whose sum is σ = 2379505905000. Its totient is φ = 370945873920.

The previous prime is 1011433411279. The next prime is 1011433411361. The reversal of 1011433411300 is 31143341101.

1011433411300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 781257996544 + 230175414756 = 883888^2 + 479766^2 .

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, 2417125 + ... + 2804524.

It is an arithmetic number, because the mean of its divisors is an integer number (33048693125).

Almost surely, 21011433411300 is an apocalyptic number.

1011433411300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011433411300 is an abundant number, since it is smaller than the sum of its proper divisors (1368072493700).

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

1011433411300 is a wasteful number, since it uses less digits than its factorization.

1011433411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221825 (or 5221818 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1011433411300 its reverse (31143341101), we get a palindrome (1042576752401).

The spelling of 1011433411300 in words is "one trillion, eleven billion, four hundred thirty-three million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 149 260 298 325 596 650 745 1300 1490 1937 2980 3725 3874 7450 7748 9685 14900 19370 38740 48425 96850 193700 5221649 10443298 20886596 26108245 52216490 67881437 104432980 130541225 135762874 261082450 271525748 339407185 522164900 678814370 778025701 1357628740 1556051402 1697035925 3112102804 3394071850 3890128505 6788143700 7780257010 10114334113 15560514020 19450642525 20228668226 38901285050 40457336452 50571670565 77802570100 101143341130 202286682260 252858352825 505716705650 1011433411300