Search a number
-
+
1113154020 = 2232511251109
BaseRepresentation
bin100001001011001…
…0110000111100100
32212120121002020200
41002112112013210
54234431412040
6302242430500
736404436666
oct10226260744
92776532220
101113154020
1152138a100
12270962430
13149808024
14a7ba4536
1567ad3630
hex425961e4

1113154020 has 108 divisors (see below), whose sum is σ = 3711505980. Its totient is φ = 269850240.

The previous prime is 1113154019. The next prime is 1113154039. The reversal of 1113154020 is 204513111.

It can be written as a sum of positive squares in 2 ways, for example, as 797949504 + 315204516 = 28248^2 + 17754^2 .

It is a super-2 number, since 2×11131540202 = 2478223744484320800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1113153984 and 1113154002.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3775 + ... + 47334.

Almost surely, 21113154020 is an apocalyptic number.

1113154020 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 1113154020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855752990).

1113154020 is an abundant number, since it is smaller than the sum of its proper divisors (2598351960).

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

1113154020 is a wasteful number, since it uses less digits than its factorization.

1113154020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51146 (or 51130 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1113154020 is about 33363.9628941168. The cubic root of 1113154020 is about 1036.3785592999.

Adding to 1113154020 its reverse (204513111), we get a palindrome (1317667131).

The spelling of 1113154020 in words is "one billion, one hundred thirteen million, one hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 51109 102218 153327 204436 255545 306654 459981 511090 562199 613308 766635 919962 1022180 1124398 1533270 1686597 1839924 2248796 2299905 2810995 3066540 3373194 4599810 5059791 5621990 6184189 6746388 8432985 9199620 10119582 11243980 12368378 16865970 18552567 20239164 24736756 25298955 30920945 33731940 37105134 50597910 55657701 61841890 74210268 92762835 101195820 111315402 123683780 185525670 222630804 278288505 371051340 556577010 1113154020