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2133100303020 = 22325131263343963
BaseRepresentation
bin11111000010100110101…
…011111001001010101100
321112220220102112210210200
4133002212223321022230
5234422042134144040
64311533250233500
7310053133261521
oct37024653711254
97486812483720
102133100303020
11752708569515
122a54aab85890
131261c583bb1b
14753579d1148
153a7480e9630
hex1f0a6af92ac

2133100303020 has 144 divisors (see below), whose sum is σ = 6544605779712. Its totient is φ = 562336594560.

The previous prime is 2133100302997. The next prime is 2133100303039. The reversal of 2133100303020 is 203030013312.

2133100303020 is a `hidden beast` number, since 2 + 1 + 331 + 0 + 0 + 30 + 302 + 0 = 666.

It is a super-2 number, since 2×21331003030202 (a number of 25 digits) contains 22 as substring.

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 = 2133100302984 and 2133100303002.

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, 6029559 + ... + 6373521.

It is an arithmetic number, because the mean of its divisors is an integer number (45448651248).

Almost surely, 22133100303020 is an apocalyptic number.

2133100303020 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 2133100303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272302889856).

2133100303020 is an abundant number, since it is smaller than the sum of its proper divisors (4411505476692).

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

2133100303020 is a wasteful number, since it uses less digits than its factorization.

2133100303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344372 (or 344367 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2133100303020 its reverse (203030013312), we get a palindrome (2336130316332).

The spelling of 2133100303020 in words is "two trillion, one hundred thirty-three billion, one hundred million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 263 393 524 526 655 786 789 1052 1179 1310 1315 1572 1578 1965 2358 2367 2620 2630 3156 3930 3945 4716 4734 5260 5895 7860 7890 9468 11790 11835 15780 23580 23670 34453 47340 68906 103359 137812 172265 206718 310077 343963 344530 413436 516795 620154 687926 689060 1031889 1033590 1240308 1375852 1550385 1719815 2063778 2067180 3095667 3100770 3439630 4127556 5159445 6191334 6201540 6879260 10318890 12382668 15478335 20637780 30956670 45059153 61913340 90118306 90462269 135177459 180236612 180924538 225295765 270354918 271386807 361849076 405532377 450591530 452311345 540709836 542773614 675887295 811064754 814160421 901183060 904622690 1085547228 1351774590 1356934035 1622129508 1628320842 1809245380 2027661885 2703549180 2713868070 3256641684 4055323770 4070802105 5427736140 8110647540 8141604210 11850557239 16283208420 23701114478 35551671717 47402228956 59252786195 71103343434 106655015151 118505572390 142206686868 177758358585 213310030302 237011144780 355516717170 426620060604 533275075755 711033434340 1066550151510 2133100303020