Search a number
-
+
1113120030100 = 2252138363116349
BaseRepresentation
bin10000001100101011000…
…111111011110110010100
310221102011020201100112111
4100030223013323312110
5121214132211430400
62211205453200404
7143264103100111
oct20145307736624
93842136640474
101113120030100
1139a087268881
1215b891790104
1380c74cb47b0
143bc37b59908
151de4c7123ba
hex1032b1fbd94

1113120030100 has 144 divisors (see below), whose sum is σ = 2636949974400. Its totient is φ = 405378086400.

The previous prime is 1113120030091. The next prime is 1113120030109. The reversal of 1113120030100 is 10300213111.

It is an interprime number because it is at equal distance from previous prime (1113120030091) and next prime (1113120030109).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113120030109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68076726 + ... + 68093074.

It is an arithmetic number, because the mean of its divisors is an integer number (18312152600).

Almost surely, 21113120030100 is an apocalyptic number.

1113120030100 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 1113120030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318474987200).

1113120030100 is an abundant number, since it is smaller than the sum of its proper divisors (1523829944300).

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

1113120030100 is a wasteful number, since it uses less digits than its factorization.

1113120030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17090 (or 17083 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1113120030100 its reverse (10300213111), we get a palindrome (1123420243211).

The spelling of 1113120030100 in words is "one trillion, one hundred thirteen billion, one hundred twenty million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 83 100 130 166 260 325 332 415 631 650 830 1079 1262 1300 1660 2075 2158 2524 3155 4150 4316 5395 6310 8203 8300 10790 12620 15775 16349 16406 21580 26975 31550 32698 32812 41015 52373 53950 63100 65396 81745 82030 104746 107900 163490 164060 205075 209492 212537 261865 326980 408725 410150 425074 523730 680849 817450 820300 850148 1047460 1062685 1309325 1356967 1361698 1634900 2125370 2618650 2713934 2723396 3404245 4250740 5237300 5313425 5427868 6784835 6808490 10316219 10626850 13569670 13616980 17021225 17640571 20632438 21253700 27139340 33924175 34042450 35281142 41264876 51581095 67848350 68084900 70562284 88202855 103162190 134110847 135696700 176405710 206324380 257905475 268221694 352811420 441014275 515810950 536443388 670554235 856246177 882028550 1031621900 1341108470 1712492354 1764057100 2682216940 3352771175 3424984708 4281230885 6705542350 8562461770 11131200301 13411084700 17124923540 21406154425 22262400602 42812308850 44524801204 55656001505 85624617700 111312003010 222624006020 278280007525 556560015050 1113120030100