Search a number
-
+
1132351205200 = 245226849105437
BaseRepresentation
bin10000011110100101011…
…001000010111101010000
311000020210111120021021221
4100132211121002331100
5122023023402031300
62224110040054424
7144544501302025
oct20364531027520
94006714507257
101132351205200
113a725580a316
1216355a164414
1382a1b303347
143cb3dcad54c
151e6c5c1331a
hex107a5642f50

1132351205200 has 60 divisors (see below), whose sum is σ = 2720600898300. Its totient is φ = 452919316480.

The previous prime is 1132351205147. The next prime is 1132351205269. The reversal of 1132351205200 is 25021532311.

It can be written as a sum of positive squares in 6 ways, for example, as 313210361104 + 819140844096 = 559652^2 + 905064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10686882 + ... + 10792318.

It is an arithmetic number, because the mean of its divisors is an integer number (45343348305).

Almost surely, 21132351205200 is an apocalyptic number.

1132351205200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132351205200 is an abundant number, since it is smaller than the sum of its proper divisors (1588249693100).

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

1132351205200 is a wasteful number, since it uses less digits than its factorization.

1132351205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132304 (or 132293 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 1132351205200 its reverse (25021532311), we get a palindrome (1157372737511).

The spelling of 1132351205200 in words is "one trillion, one hundred thirty-two billion, three hundred fifty-one million, two hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 26849 53698 105437 107396 134245 210874 214792 268490 421748 429584 527185 536980 671225 843496 1054370 1073960 1342450 1686992 2108740 2147920 2635925 2684900 4217480 5271850 5369800 8434960 10543700 10739600 21087400 42174800 2830878013 5661756026 11323512052 14154390065 22647024104 28308780130 45294048208 56617560260 70771950325 113235120520 141543900650 226470241040 283087801300 566175602600 1132351205200