Search a number
-
+
1342311100 = 2252136116927
BaseRepresentation
bin101000000000010…
…0000101010111100
310110112210110122221
41100000200222330
510222112423400
6341110215124
745156312304
oct12000405274
93415713587
101342311100
11629777219
123156544a4
13185130730
14ca3b6604
157cc9bc1a
hex50020abc

1342311100 has 72 divisors (see below), whose sum is σ = 3188490368. Its totient is φ = 487468800.

The previous prime is 1342311059. The next prime is 1342311127. The reversal of 1342311100 is 11132431.

It is a congruent number.

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, 70837 + ... + 87763.

Almost surely, 21342311100 is an apocalyptic number.

1342311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594245184).

1342311100 is an abundant number, since it is smaller than the sum of its proper divisors (1846179268).

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

1342311100 is a wasteful number, since it uses less digits than its factorization.

1342311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17015 (or 17008 counting only the distinct ones).

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

The square root of 1342311100 is about 36637.5640565800. The cubic root of 1342311100 is about 1103.1072201389.

Adding to 1342311100 its reverse (11132431), we get a palindrome (1353443531).

The spelling of 1342311100 in words is "one billion, three hundred forty-two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 100 122 130 244 260 305 325 610 650 793 1220 1300 1525 1586 3050 3172 3965 6100 7930 15860 16927 19825 33854 39650 67708 79300 84635 169270 220051 338540 423175 440102 846350 880204 1032547 1100255 1692700 2065094 2200510 4130188 4401020 5162735 5501275 10325470 11002550 13423111 20650940 22005100 25813675 26846222 51627350 53692444 67115555 103254700 134231110 268462220 335577775 671155550 1342311100