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403013212000020 = 223355912649504457
BaseRepresentation
bin101101110100010011101001…
…1010101110100111100010100
31221211221200112200020112102000
41123220213103111310330110
5410310432024233000040
63545045414053315300
7150613513043221056
oct13350472325647424
91854850480215360
10403013212000020
11107459a41706556
123924a7b1335b30
13143b4ca134893b
147173d2d0d38d6
15318d4726ee130
hex16e89d3574f14

403013212000020 has 96 divisors (see below), whose sum is σ = 1275070049366400. Its totient is φ = 105648661216512.

The previous prime is 403013211999907. The next prime is 403013212000033. The reversal of 403013212000020 is 20000212310304.

403013212000020 is a `hidden beast` number, since 4 + 0 + 301 + 321 + 20 + 0 + 0 + 0 + 20 = 666.

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 = 403013211999957 and 403013212000002.

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, 6324720369 + ... + 6324784088.

It is an arithmetic number, because the mean of its divisors is an integer number (13281979680900).

Almost surely, 2403013212000020 is an apocalyptic number.

It is an amenable number.

403013212000020 is an abundant number, since it is smaller than the sum of its proper divisors (872056837366380).

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

403013212000020 is a wasteful number, since it uses less digits than its factorization.

403013212000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12649504534 (or 12649504526 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 403013212000020 its reverse (20000212310304), we get a palindrome (423013424310324).

The spelling of 403013212000020 in words is "four hundred three trillion, thirteen billion, two hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 708 885 1062 1180 1593 1770 2124 2655 3186 3540 5310 6372 7965 10620 15930 31860 12649504457 25299008914 37948513371 50598017828 63247522285 75897026742 113845540113 126495044570 151794053484 189742566855 227691080226 252990089140 341536620339 379485133710 455382160452 569227700565 683073240678 746320762963 758970267420 1138455401130 1366146481356 1492641525926 1707683101695 2238962288889 2276910802260 2985283051852 3415366203390 3731603814815 4477924577778 6716886866667 6830732406780 7463207629630 8955849155556 11194811444445 13433773733334 14926415259260 20150660600001 22389622888890 26867547466668 33584434333335 40301321200002 44779245777780 67168868666670 80602642400004 100753303000005 134337737333340 201506606000010 403013212000020