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20120202111100 = 22527133463638467
BaseRepresentation
bin1001001001100100110010…
…11111111110100001111100
32122020110202110221102110111
410210302121133332201330
510114122133220023400
6110443032050315404
74144431236063320
oct444623137764174
978213673842414
1020120202111100
116457a25617223
12230b51ab88b64
13b2c433314270
144d7b74375980
1524d58c9613ba
hex124c997fe87c

20120202111100 has 144 divisors (see below), whose sum is σ = 53752018206208. Its totient is φ = 6365863560960.

The previous prime is 20120202111091. The next prime is 20120202111127. The reversal of 20120202111100 is 111120202102.

It is a super-3 number, since 3×201202021111003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 31194067 + ... + 31832533.

Almost surely, 220120202111100 is an apocalyptic number.

20120202111100 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 20120202111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26876009103104).

20120202111100 is an abundant number, since it is smaller than the sum of its proper divisors (33631816095108).

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

20120202111100 is a wasteful number, since it uses less digits than its factorization.

20120202111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641964 (or 641957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20120202111100 its reverse (111120202102), we get a palindrome (20231322313202).

The spelling of 20120202111100 in words is "twenty trillion, one hundred twenty billion, two hundred two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 3463 4550 6926 9100 13852 17315 24241 34630 45019 48482 69260 86575 90038 96964 121205 173150 180076 225095 242410 315133 346300 450190 484820 606025 630266 638467 900380 1125475 1212050 1260532 1276934 1575665 2250950 2424100 2553868 3151330 3192335 4469269 4501900 6302660 6384670 7878325 8300071 8938538 12769340 15756650 15961675 16600142 17877076 22346345 31513300 31923350 33200284 41500355 44692690 58100497 63846700 83000710 89385380 111731725 116200994 166001420 207501775 223463450 232401988 290502485 415003550 446926900 581004970 830007100 1162009940 1452512425 2211011221 2905024850 4422022442 5810049700 8844044884 11055056105 15477078547 22110112210 28743145873 30954157094 44220224420 55275280525 57486291746 61908314188 77385392735 110550561050 114972583492 143715729365 154770785470 201202021111 221101122100 287431458730 309541570940 386926963675 402404042222 574862917460 718578646825 773853927350 804808084444 1006010105555 1437157293650 1547707854700 2012020211110 2874314587300 4024040422220 5030050527775 10060101055550 20120202111100