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113301032220 = 223253747361961
BaseRepresentation
bin110100110000101000…
…1001000110100011100
3101211110010212210021200
41221201101020310130
53324020031012340
6124014430155500
711120463612045
oct1514121106434
9354403783250
10113301032220
114406152a512
1219b60352b90
13a8b8380ccc
1456ab78b8cc
152e31d01330
hex1a61448d1c

113301032220 has 144 divisors (see below), whose sum is σ = 360479403648. Its totient is φ = 28771476480.

The previous prime is 113301032219. The next prime is 113301032233. The reversal of 113301032220 is 22230103311.

113301032220 is a `hidden beast` number, since 1 + 1 + 330 + 10 + 322 + 2 + 0 = 666.

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 = 113301032193 and 113301032202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132040 + ... + 494000.

It is an arithmetic number, because the mean of its divisors is an integer number (2503329192).

Almost surely, 2113301032220 is an apocalyptic number.

113301032220 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 113301032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180239701824).

113301032220 is an abundant number, since it is smaller than the sum of its proper divisors (247178371428).

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

113301032220 is a wasteful number, since it uses less digits than its factorization.

113301032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362060 (or 362055 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113301032220 its reverse (22230103311), we get a palindrome (135531135531).

The spelling of 113301032220 in words is "one hundred thirteen billion, three hundred one million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 47 60 74 90 94 111 141 148 180 185 188 222 235 282 333 370 423 444 470 555 564 666 705 740 846 940 1110 1332 1410 1665 1692 1739 2115 2220 2820 3330 3478 4230 5217 6660 6956 8460 8695 10434 15651 17390 20868 26085 31302 34780 52170 62604 78255 104340 156510 313020 361961 723922 1085883 1447844 1809805 2171766 3257649 3619610 4343532 5429415 6515298 7239220 10858830 13030596 13392557 16288245 17012167 21717660 26785114 32576490 34024334 40177671 51036501 53570228 65152980 66962785 68048668 80355342 85060835 102073002 120533013 133925570 153109503 160710684 170121670 200888355 204146004 241066026 255182505 267851140 306219006 340243340 401776710 482132052 510365010 602665065 612438012 629450179 765547515 803553420 1020730020 1205330130 1258900358 1531095030 1888350537 2410660260 2517800716 3062190060 3147250895 3776701074 5665051611 6294501790 7553402148 9441752685 11330103222 12589003580 18883505370 22660206444 28325258055 37767010740 56650516110 113301032220