Search a number
-
+
1131434031 = 3713171311861
BaseRepresentation
bin100001101110000…
…0101000000101111
32220211222210201010
41003130011000233
54304121342111
6304134320303
740016013330
oct10334050057
92824883633
101131434031
11530735152
12276ab9093
131505385c0
14aa3a2287
15694e4aa6
hex4370502f

1131434031 has 64 divisors (see below), whose sum is σ = 1982002176. Its totient is φ = 557107200.

The previous prime is 1131433993. The next prime is 1131434041. The reversal of 1131434031 is 1304341311.

It is not a de Polignac number, because 1131434031 - 213 = 1131425839 is a prime.

It is a super-2 number, since 2×11314340312 = 2560285933009817922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1131433989 and 1131434007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131434041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607041 + ... + 608901.

It is an arithmetic number, because the mean of its divisors is an integer number (30968784).

Almost surely, 21131434031 is an apocalyptic number.

1131434031 is a deficient number, since it is larger than the sum of its proper divisors (850568145).

1131434031 is a wasteful number, since it uses less digits than its factorization.

1131434031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1131434031 is about 33636.7957897300. The cubic root of 1131434031 is about 1042.0208583203.

Adding to 1131434031 its reverse (1304341311), we get a palindrome (2435775342).

The spelling of 1131434031 in words is "one billion, one hundred thirty-one million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 7 13 17 21 39 51 91 119 131 221 273 357 393 663 917 1547 1703 1861 2227 2751 4641 5109 5583 6681 11921 13027 15589 24193 28951 31637 35763 39081 46767 72579 86853 94911 169351 202657 221459 243791 411281 508053 607971 664377 731373 1233843 1706537 2878967 3169283 4144447 5119611 8636901 9507849 12433341 22184981 29011129 53877811 66554943 87033387 161633433 377144677 1131434031