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203212330133140 = 2251726311871914541
BaseRepresentation
bin101110001101001000001110…
…110000000110011010010100
3222122111220112200111200101201
4232031020032300012122110
5203113412323003230030
62000110242232402244
760542414660033626
oct5615101660063224
9878456480450351
10203212330133140
11598279576977a9
121a95bab2246384
138950ac0791003
14382775a3d4c16
15187604448a2ca
hexb8d20ec06694

203212330133140 has 96 divisors (see below), whose sum is σ = 453948997227264. Its totient is φ = 76148331939840.

The previous prime is 203212330133129. The next prime is 203212330133159. The reversal of 203212330133140 is 41331033212302.

It is a super-2 number, since 2×2032123301331402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203212330133099 and 203212330133108.

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, 105184270 + ... + 107098810.

It is an arithmetic number, because the mean of its divisors is an integer number (4728635387784).

Almost surely, 2203212330133140 is an apocalyptic number.

203212330133140 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 203212330133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226974498613632).

203212330133140 is an abundant number, since it is smaller than the sum of its proper divisors (250736667094124).

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

203212330133140 is a wasteful number, since it uses less digits than its factorization.

203212330133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916017 (or 1916015 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 203212330133140 its reverse (41331033212302), we get a palindrome (244543363345442).

The spelling of 203212330133140 in words is "two hundred three trillion, two hundred twelve billion, three hundred thirty million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 263 340 526 1052 1187 1315 2374 2630 4471 4748 5260 5935 8942 11870 17884 20179 22355 23740 40358 44710 80716 89420 100895 201790 312181 403580 624362 1248724 1560905 1914541 3121810 3829082 5307077 6243620 7658164 9572705 10614154 19145410 21228308 26535385 32547197 38290820 53070770 65094394 106141540 130188788 162735985 325471970 503524283 650943940 1007048566 2014097132 2272560167 2517621415 4545120334 5035242830 8559912811 9090240668 10070485660 11362800835 17119825622 22725601670 34239651244 38633522839 42799564055 45451203340 77267045678 85599128110 154534091356 171198256220 193167614195 386335228390 597683323921 772670456780 1195366647842 2390733295684 2988416619605 5976833239210 10160616506657 11953666478420 20321233013314 40642466026628 50803082533285 101606165066570 203212330133140