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202103310420 = 2232511349292471
BaseRepresentation
bin1011110000111001001…
…0111100100001010100
3201022122221000220222100
42330032102330201110
511302401421413140
6232502303202100
720413210536234
oct2741622744124
9638587026870
10202103310420
1178791060480
1233203ba6330
131609acc8a5b
149ad358dcc4
1553cce42530
hex2f0e4bc854

202103310420 has 144 divisors (see below), whose sum is σ = 670696790400. Its totient is φ = 48854188800.

The previous prime is 202103310397. The next prime is 202103310433. The reversal of 202103310420 is 24013301202.

202103310420 is a `hidden beast` number, since 2 + 0 + 210 + 3 + 31 + 0 + 420 = 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 = 202103310393 and 202103310402.

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, 544785 + ... + 837255.

It is an arithmetic number, because the mean of its divisors is an integer number (4657616600).

Almost surely, 2202103310420 is an apocalyptic number.

202103310420 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 202103310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335348395200).

202103310420 is an abundant number, since it is smaller than the sum of its proper divisors (468593479980).

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

202103310420 is a wasteful number, since it uses less digits than its factorization.

202103310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292846 (or 292841 counting only the distinct ones).

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

Adding to 202103310420 its reverse (24013301202), we get a palindrome (226116611622).

The spelling of 202103310420 in words is "two hundred two billion, one hundred three million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 349 396 495 660 698 990 1047 1396 1745 1980 2094 3141 3490 3839 4188 5235 6282 6980 7678 10470 11517 12564 15356 15705 19195 20940 23034 31410 34551 38390 46068 57585 62820 69102 76780 115170 138204 172755 230340 292471 345510 584942 691020 877413 1169884 1462355 1754826 2632239 2924710 3217181 3509652 4387065 5264478 5849420 6434362 8774130 9651543 10528956 12868724 13161195 16085905 17548260 19303086 26322390 28954629 32171810 38606172 48257715 52644780 57909258 64343620 96515430 102072379 115818516 144773145 193030860 204144758 289546290 306217137 408289516 510361895 579092580 612434274 918651411 1020723790 1122796169 1224868548 1531085685 1837302822 2041447580 2245592338 3062171370 3368388507 3674605644 4491184676 4593257055 5613980845 6124342740 6736777014 9186514110 10105165521 11227961690 13473554028 16841942535 18373028220 20210331042 22455923380 33683885070 40420662084 50525827605 67367770140 101051655210 202103310420