Search a number
-
+
1200131142 = 237972231321
BaseRepresentation
bin100011110001000…
…1000110001000110
310002122020222102120
41013202020301012
54424213144032
6315030550410
741511642420
oct10742106106
93078228376
101200131142
11566496321
12295b08406
1316183c092
14b5565810
157056462c
hex47888c46

1200131142 has 64 divisors (see below), whose sum is σ = 2785972224. Its totient is φ = 337582080.

The previous prime is 1200131087. The next prime is 1200131159. The reversal of 1200131142 is 2411310021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907842 + ... + 909162.

It is an arithmetic number, because the mean of its divisors is an integer number (43530816).

Almost surely, 21200131142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200131142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392986112).

1200131142 is an abundant number, since it is smaller than the sum of its proper divisors (1585841082).

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

1200131142 is a wasteful number, since it uses less digits than its factorization.

1200131142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1200131142 is about 34642.9089713898. The cubic root of 1200131142 is about 1062.6972786531.

Adding to 1200131142 its reverse (2411310021), we get a palindrome (3611441163).

The spelling of 1200131142 in words is "one billion, two hundred million, one hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 97 194 223 291 446 582 669 679 1321 1338 1358 1561 2037 2642 3122 3963 4074 4683 7926 9247 9366 18494 21631 27741 43262 55482 64893 128137 129786 151417 256274 294583 302834 384411 454251 589166 768822 883749 896959 908502 1767498 1793918 2062081 2690877 4124162 5381754 6186243 12372486 28574551 57149102 85723653 171447306 200021857 400043714 600065571 1200131142