Search a number
-
+
13032031011120 = 24325111645458461
BaseRepresentation
bin1011110110100100000110…
…0101000100000100110000
31201010211221122111111010200
42331221001211010010300
53202004044414323440
643414455444155200
72513350606611432
oct275510145040460
951124848444120
1013032031011120
114174942841510
121565840998b00
13736bb8a64b34
14330a7a0bc652
15178ed674bc30
hexbda41944130

13032031011120 has 120 divisors (see below), whose sum is σ = 47744622733392. Its totient is φ = 3159280243200.

The previous prime is 13032031011073. The next prime is 13032031011137. The reversal of 13032031011120 is 2111013023031.

13032031011120 is a `hidden beast` number, since 1 + 3 + 0 + 320 + 310 + 1 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 13032031011093 and 13032031011102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822721311 + ... + 822737150.

Almost surely, 213032031011120 is an apocalyptic number.

13032031011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13032031011120 is an abundant number, since it is smaller than the sum of its proper divisors (34712591722272).

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

13032031011120 is a wasteful number, since it uses less digits than its factorization.

13032031011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645458491 (or 1645458482 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13032031011120 its reverse (2111013023031), we get a palindrome (15143044034151).

The spelling of 13032031011120 in words is "thirteen trillion, thirty-two billion, thirty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 1645458461 3290916922 4936375383 6581833844 8227292305 9872750766 13163667688 14809126149 16454584610 18100043071 19745501532 24681876915 26327335376 29618252298 32909169220 36200086142 39491003064 49363753830 54300129213 59236504596 65818338440 72400172284 74045630745 78982006128 90500215355 98727507660 108600258426 118473009192 131636676880 144800344568 148091261490 162900387639 181000430710 197455015320 217200516852 236946018384 271500646065 289600689136 296182522980 325800775278 362000861420 394910030640 434401033704 543001292130 592365045960 651601550556 724001722840 814501938195 868802067408 1086002584260 1184730091920 1303203101112 1448003445680 1629003876390 2172005168520 2606406202224 3258007752780 4344010337040 6516015505560 13032031011120