Search a number
-
+
1113155120 = 2457111571151
BaseRepresentation
bin100001001011001…
…0110011000110000
32212120121010202102
41002112112120300
54234431430440
6302242435532
736404443130
oct10226263060
92776533672
101113155120
1152138aa10
12270962ba8
1314980868c
14a7ba4ac0
1567ad3b15
hex42596630

1113155120 has 160 divisors (see below), whose sum is σ = 3250077696. Its totient is φ = 344448000.

The previous prime is 1113155107. The next prime is 1113155123. The reversal of 1113155120 is 215513111.

It is a happy number.

It is a super-2 number, since 2×11131551202 = 2478228642364428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1113155092 and 1113155101.

It is not an unprimeable number, because it can be changed into a prime (1113155123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966545 + ... + 967695.

Almost surely, 21113155120 is an apocalyptic number.

1113155120 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 1113155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625038848).

1113155120 is an abundant number, since it is smaller than the sum of its proper divisors (2136922576).

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

1113155120 is a wasteful number, since it uses less digits than its factorization.

1113155120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The square root of 1113155120 is about 33363.9793789650. The cubic root of 1113155120 is about 1036.3789006771.

Adding to 1113155120 its reverse (215513111), we get a palindrome (1328668231).

It can be divided in two parts, 11 and 13155120, that added together give a palindrome (13155131).

The spelling of 1113155120 in words is "one billion, one hundred thirteen million, one hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 157 176 220 280 308 314 385 440 560 616 628 770 785 880 1099 1151 1232 1256 1540 1570 1727 2198 2302 2512 3080 3140 3454 4396 4604 5495 5755 6160 6280 6908 8057 8635 8792 9208 10990 11510 12089 12560 12661 13816 16114 17270 17584 18416 21980 23020 24178 25322 27632 32228 34540 40285 43960 46040 48356 50644 60445 63305 64456 69080 80570 87920 88627 92080 96712 101288 120890 126610 128912 138160 161140 177254 180707 193424 202576 241780 253220 322280 354508 361414 443135 483560 506440 644560 709016 722828 886270 903535 967120 1012880 1264949 1418032 1445656 1772540 1807070 1987777 2529898 2891312 3545080 3614140 3975554 5059796 6324745 7090160 7228280 7951108 9938885 10119592 12649490 13914439 14456560 15902216 19877770 20239184 25298980 27828878 31804432 39755540 50597960 55657756 69572195 79511080 101195920 111315512 139144390 159022160 222631024 278288780 556577560 1113155120