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201101134320 = 24335191487447
BaseRepresentation
bin1011101101001010001…
…1111100100111110000
3201020002002021002211000
42323102203330213300
511243323342244240
6232215023122000
720346321303102
oct2732243744760
9636062232730
10201101134320
1178317390769
1232b84443300
1315c6b4a9248
149a3a437572
15536ee81430
hex2ed28fc9f0

201101134320 has 160 divisors (see below), whose sum is σ = 696309719040. Its totient is φ = 53346090240.

The previous prime is 201101134261. The next prime is 201101134361. The reversal of 201101134320 is 23431101102.

201101134320 is a `hidden beast` number, since 201 + 10 + 1 + 134 + 320 = 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 = 201101134293 and 201101134302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168837 + ... + 656283.

It is an arithmetic number, because the mean of its divisors is an integer number (4351935744).

Almost surely, 2201101134320 is an apocalyptic number.

201101134320 is a gapful number since it is divisible by the number (20) 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 201101134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348154859520).

201101134320 is an abundant number, since it is smaller than the sum of its proper divisors (495208584720).

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

201101134320 is a wasteful number, since it uses less digits than its factorization.

201101134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487660 (or 487648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201101134320 its reverse (23431101102), we get a palindrome (224532235422).

The spelling of 201101134320 in words is "two hundred one billion, one hundred one million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 191 216 240 270 360 382 432 540 573 720 764 955 1080 1146 1528 1719 1910 2160 2292 2865 3056 3438 3820 4584 5157 5730 6876 7640 8595 9168 10314 11460 13752 15280 17190 20628 22920 25785 27504 34380 41256 45840 51570 68760 82512 103140 137520 206280 412560 487447 974894 1462341 1949788 2437235 2924682 3899576 4387023 4874470 5849364 7311705 7799152 8774046 9748940 11698728 13161069 14623410 17548092 19497880 21935115 23397456 26322138 29246820 35096184 38995760 43870230 52644276 58493640 65805345 70192368 87740460 93102377 105288552 116987280 131610690 175480920 186204754 210577104 263221380 279307131 350961840 372409508 465511885 526442760 558614262 744819016 837921393 931023770 1052885520 1117228524 1396535655 1489638032 1675842786 1862047540 2234457048 2513764179 2793071310 3351685572 3724095080 4189606965 4468914096 5027528358 5586142620 6703371144 7448190160 8379213930 10055056716 11172285240 12568820895 13406742288 16758427860 20110113432 22344570480 25137641790 33516855720 40220226864 50275283580 67033711440 100550567160 201101134320