Search a number
-
+
403020131220 = 2232571272518561
BaseRepresentation
bin1011101110101011101…
…11110010101110010100
31102112021011110221011200
411313111313302232110
523100341123144340
6505051144032500
741055133410210
oct5672567625624
91375234427150
10403020131220
11145a133a2713
1266136762730
132c00a250935
1415713329940
15a73bb17330
hex5dd5df2b94

403020131220 has 144 divisors (see below), whose sum is σ = 1408138088448. Its totient is φ = 91393505280.

The previous prime is 403020131219. The next prime is 403020131249. The reversal of 403020131220 is 22131020304.

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 = 403020131193 and 403020131202.

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, 1099261 + ... + 1419300.

Almost surely, 2403020131220 is an apocalyptic number.

It is an amenable number.

403020131220 is an abundant number, since it is smaller than the sum of its proper divisors (1005117957228).

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

403020131220 is a wasteful number, since it uses less digits than its factorization.

403020131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518710 (or 2518705 counting only the distinct ones).

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

Adding to 403020131220 its reverse (22131020304), we get a palindrome (425151151524).

The spelling of 403020131220 in words is "four hundred three billion, twenty million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 127 140 180 210 252 254 315 381 420 508 630 635 762 889 1143 1260 1270 1524 1778 1905 2286 2540 2667 3556 3810 4445 4572 5334 5715 7620 8001 8890 10668 11430 13335 16002 17780 22860 26670 32004 40005 53340 80010 160020 2518561 5037122 7555683 10074244 12592805 15111366 17629927 22667049 25185610 30222732 35259854 37778415 45334098 50371220 52889781 70519708 75556830 88149635 90668196 105779562 113335245 151113660 158669343 176299270 211559124 226670490 264448905 317338686 319857247 352598540 453340980 528897810 634677372 639714494 793346715 959571741 1057795620 1279428988 1586693430 1599286235 1919143482 2239000729 2878715223 3173386860 3198572470 3838286964 4478001458 4797858705 5757430446 6397144940 6717002187 8956002916 9595717410 11195003645 11514860892 13434004374 14393576115 19191434820 20151006561 22390007290 26868008748 28787152230 33585010935 40302013122 44780014580 57574304460 67170021870 80604026244 100755032805 134340043740 201510065610 403020131220