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20111001120 = 2532571995139
BaseRepresentation
bin10010101110101101…
…011000011000100000
31220220120101201011100
4102232231120120200
5312141404013440
613123332314400
71311240455220
oct225655303040
956816351140
1020111001120
118590154891
123a93172a00
131b866a0882
14d8ad3c080
157ca895230
hex4aeb58620

20111001120 has 144 divisors (see below), whose sum is σ = 78432943680. Its totient is φ = 4596797952.

The previous prime is 20111001109. The next prime is 20111001121. The reversal of 20111001120 is 2110011102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (20111001121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987490 + ... + 1007649.

It is an arithmetic number, because the mean of its divisors is an integer number (544673220).

Almost surely, 220111001120 is an apocalyptic number.

20111001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111001120 is an abundant number, since it is smaller than the sum of its proper divisors (58321942560).

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

20111001120 is a wasteful number, since it uses less digits than its factorization.

20111001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995167 (or 1995156 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20111001120 its reverse (2110011102), we get a palindrome (22221012222).

The spelling of 20111001120 in words is "twenty billion, one hundred eleven million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 1995139 3990278 5985417 7980556 9975695 11970834 13965973 15961112 17956251 19951390 23941668 27931946 29927085 31922224 35912502 39902780 41897919 47883336 55863892 59854170 63844448 69829865 71825004 79805560 83795838 89781255 95766672 111727784 119708340 125693757 139659730 143650008 159611120 167591676 179562510 191533344 209489595 223455568 239416680 251387514 279319460 287300016 319222240 335183352 359125020 418979190 446911136 478833360 502775028 558638920 574600032 628468785 670366704 718250040 837958380 957666720 1005550056 1117277840 1256937570 1340733408 1436500080 1675916760 2011100112 2234555680 2513875140 2873000160 3351833520 4022200224 5027750280 6703667040 10055500560 20111001120