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2033020200120 = 2335713186174011
BaseRepresentation
bin11101100101011001011…
…100100110010010111000
321012100120200011211000220
4131211121130212102320
5231302111132400440
64153542342300040
7266611064401050
oct35453134462270
97170520154026
102033020200120
117142209a1978
1228a01a427620
13119936564220
147058207c560
1537d3bd3a8d0
hex1d9597264b8

2033020200120 has 128 divisors (see below), whose sum is σ = 7506536163840. Its totient is φ = 428944919040.

The previous prime is 2033020200109. The next prime is 2033020200137. The reversal of 2033020200120 is 210020203302.

It is a super-2 number, since 2×20330202001202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2033020200120.

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, 93076086 + ... + 93097925.

It is an arithmetic number, because the mean of its divisors is an integer number (58644813780).

Almost surely, 22033020200120 is an apocalyptic number.

2033020200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2033020200120 is an abundant number, since it is smaller than the sum of its proper divisors (5473515963720).

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

2033020200120 is a wasteful number, since it uses less digits than its factorization.

2033020200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186174045 (or 186174041 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2033020200120 its reverse (210020203302), we get a palindrome (2243040403422).

The spelling of 2033020200120 in words is "two trillion, thirty-three billion, twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 186174011 372348022 558522033 744696044 930870055 1117044066 1303218077 1489392088 1861740110 2234088132 2420262143 2606436154 2792610165 3723480220 3909654231 4468176264 4840524286 5212872308 5585220330 6516090385 7260786429 7446960440 7819308462 9681048572 10425744616 11170440660 12101310715 13032180770 14521572858 15638616924 16941835001 19362097144 19548271155 22340881320 24202621430 26064361540 29043145716 31277233848 33883670002 36303932145 39096542310 48405242860 50825505003 52128723080 58086291432 67767340004 72607864290 78193084620 84709175005 96810485720 101651010006 135534680008 145215728580 156386169240 169418350010 203302020012 254127525015 290431457160 338836700020 406604040024 508255050030 677673400040 1016510100060 2033020200120