Search a number
-
+
113511005520 = 243511169925307
BaseRepresentation
bin110100110110111001…
…0000111110101010000
3101211222202222112111120
41221231302013311100
53324432304134040
6124051330442240
711125623425103
oct1515562076520
9354882875446
10113511005520
114415a004570
1219bba733380
13a91ca1a973
1456cb60873a
152e4547a7d0
hex1a6dc87d50

113511005520 has 160 divisors (see below), whose sum is σ = 384114700800. Its totient is φ = 27500536320.

The previous prime is 113511005497. The next prime is 113511005539. The reversal of 113511005520 is 25500115311.

It is a super-2 number, since 2×1135110055202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4472707 + ... + 4498013.

It is an arithmetic number, because the mean of its divisors is an integer number (2400716880).

Almost surely, 2113511005520 is an apocalyptic number.

113511005520 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 113511005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192057350400).

113511005520 is an abundant number, since it is smaller than the sum of its proper divisors (270603695280).

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

113511005520 is a wasteful number, since it uses less digits than its factorization.

113511005520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27033 (or 27027 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 113511005520 in words is "one hundred thirteen billion, five hundred eleven million, five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1699 2640 3398 5097 6796 8495 10194 13592 16990 18689 20388 25307 25485 27184 33980 37378 40776 50614 50970 56067 67960 74756 75921 81552 93445 101228 101940 112134 126535 135920 149512 151842 186890 202456 203880 224268 253070 278377 280335 299024 303684 373780 379605 404912 407760 448536 506140 556754 560670 607368 747560 759210 835131 897072 1012280 1113508 1121340 1214736 1391885 1495120 1518420 1670262 2024560 2227016 2242680 2783770 3036840 3340524 4175655 4454032 4485360 5567540 6073680 6681048 8351310 11135080 13362096 16702620 22270160 33405240 42996593 66810480 85993186 128989779 171986372 214982965 257979558 343972744 429965930 472962523 515959116 644948895 687945488 859931860 945925046 1031918232 1289897790 1418887569 1719863720 1891850092 2063836464 2364812615 2579795580 2837775138 3439727440 3783700184 4729625230 5159591160 5675550276 7094437845 7567400368 9459250460 10319182320 11351100552 14188875690 18918500920 22702201104 28377751380 37837001840 56755502760 113511005520