Search a number
-
+
1131021012 = 2231114535897
BaseRepresentation
bin100001101101010…
…0000001011010100
32220211012211011010
41003122200023110
54304020133022
6304121412220
740012343232
oct10332401324
92824184133
101131021012
11530482910
1227693a070
13150422604
14aa2d5952
156946250c
hex436a02d4

1131021012 has 48 divisors (see below), whose sum is σ = 2881432512. Its totient is φ = 342439680.

The previous prime is 1131021011. The next prime is 1131021013. The reversal of 1131021012 is 2101201311.

It is an interprime number because it is at equal distance from previous prime (1131021011) and next prime (1131021013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131021011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188848 + ... + 194744.

It is an arithmetic number, because the mean of its divisors is an integer number (60029844).

Almost surely, 21131021012 is an apocalyptic number.

1131021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131021012 is an abundant number, since it is smaller than the sum of its proper divisors (1750411500).

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

1131021012 is a wasteful number, since it uses less digits than its factorization.

1131021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1131021012 is about 33630.6558366024. The cubic root of 1131021012 is about 1041.8940496923.

Adding to 1131021012 its reverse (2101201311), we get a palindrome (3232222323).

The spelling of 1131021012 in words is "one billion, one hundred thirty-one million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1453 2906 4359 5812 5897 8718 11794 15983 17436 17691 23588 31966 35382 47949 63932 64867 70764 95898 129734 191796 194601 259468 389202 778404 8568341 17136682 25705023 34273364 51410046 94251751 102820092 188503502 282755253 377007004 565510506 1131021012