Search a number
-
+
1142134110 = 2325132611231
BaseRepresentation
bin100010000010011…
…1001010101011110
32221121010102110100
41010010321111132
54314341242420
6305155521530
740205660025
oct10404712536
92847112410
101142134110
11536783297
1227a5b92a6
13152813a00
14ab9898bc
156a40a190
hex4413955e

1142134110 has 144 divisors (see below), whose sum is σ = 3270915648. Its totient is φ = 276307200.

The previous prime is 1142134109. The next prime is 1142134117. The reversal of 1142134110 is 114312411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142134117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 927195 + ... + 928425.

It is an arithmetic number, because the mean of its divisors is an integer number (22714692).

Almost surely, 21142134110 is an apocalyptic number.

1142134110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142134110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635457824).

1142134110 is an abundant number, since it is smaller than the sum of its proper divisors (2128781538).

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

1142134110 is a wasteful number, since it uses less digits than its factorization.

1142134110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1142134110 is about 33795.4746970656. The cubic root of 1142134110 is about 1045.2953874480.

Adding to 1142134110 its reverse (114312411), we get a palindrome (1256446521).

The spelling of 1142134110 in words is "one billion, one hundred forty-two million, one hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 61 65 78 90 117 122 130 169 183 195 234 305 338 366 390 507 549 585 610 793 845 915 1014 1098 1170 1231 1521 1586 1690 1830 2379 2462 2535 2745 3042 3693 3965 4758 5070 5490 6155 7137 7386 7605 7930 10309 11079 11895 12310 14274 15210 16003 18465 20618 22158 23790 30927 32006 35685 36930 48009 51545 55395 61854 71370 75091 80015 92781 96018 103090 110790 144027 150182 154635 160030 185562 208039 225273 240045 288054 309270 375455 416078 450546 463905 480090 624117 675819 720135 750910 927810 976183 1040195 1126365 1248234 1351638 1440270 1872351 1952366 2080390 2252730 2928549 3120585 3379095 3744702 4880915 5857098 6241170 6758190 8785647 9361755 9761830 12690379 14642745 17571294 18723510 25380758 29285490 38071137 43928235 63451895 76142274 87856470 114213411 126903790 190355685 228426822 380711370 571067055 1142134110