Search a number
-
+
10112113255520 = 2551071192749523
BaseRepresentation
bin1001001100100110100011…
…1010110010010001100000
31022210201010120002201210102
42103021220322302101200
52311134101443134040
633301235105121532
72062401410320463
oct223115072622140
938721116081712
1010112113255520
1132495833462a1
1211739663292a8
13584750404883
1426d600c4d2da
1512808c820515
hex93268eb2460

10112113255520 has 96 divisors (see below), whose sum is σ = 24115646032128. Its totient is φ = 4006626139648.

The previous prime is 10112113255499. The next prime is 10112113255529. The reversal of 10112113255520 is 2555231121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112113255529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204165479 + ... + 204215001.

It is an arithmetic number, because the mean of its divisors is an integer number (251204646168).

Almost surely, 210112113255520 is an apocalyptic number.

10112113255520 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 10112113255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057823016064).

10112113255520 is an abundant number, since it is smaller than the sum of its proper divisors (14003532776608).

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

10112113255520 is a wasteful number, since it uses less digits than its factorization.

10112113255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61572 (or 61564 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 29.

Adding to 10112113255520 its reverse (2555231121101), we get a palindrome (12667344376621).

The spelling of 10112113255520 in words is "ten trillion, one hundred twelve billion, one hundred thirteen million, two hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 4280 8560 11927 17120 23854 47708 49523 59635 95416 99046 119270 190832 198092 238540 247615 381664 396184 477080 495230 792368 954160 990460 1276189 1584736 1908320 1980920 2552378 3961840 5104756 5298961 6380945 7923680 10209512 10597922 12761890 20419024 21195844 25523780 26494805 40838048 42391688 51047560 52989610 84783376 102095120 105979220 169566752 204190240 211958440 423916880 590660821 847833760 1181321642 2362643284 2953304105 4725286568 5906608210 9450573136 11813216420 18901146272 23626432840 47252865680 63200707847 94505731360 126401415694 252802831388 316003539235 505605662776 632007078470 1011211325552 1264014156940 2022422651104 2528028313880 5056056627760 10112113255520