Search a number
-
+
4020311210010 = 23537210329227
BaseRepresentation
bin111010100000001101001…
…110001011100000011010
3112020100010101211002001120
4322200031032023200122
51011332044132210020
612314523325430110
7563313026305614
oct72401516134032
915210111732046
104020311210010
111310005961347
1254b1b610b336
13232162ac76b4
14dc826ab5db4
156e89e1eb740
hex3a80d38b81a

4020311210010 has 144 divisors (see below), whose sum is σ = 10014869271456. Its totient is φ = 1032868561536.

The previous prime is 4020311210009. The next prime is 4020311210021. The reversal of 4020311210010 is 100121130204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 435707017 + ... + 435716243.

It is an arithmetic number, because the mean of its divisors is an integer number (69547703274).

Almost surely, 24020311210010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020311210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007434635728).

4020311210010 is an abundant number, since it is smaller than the sum of its proper divisors (5994558061446).

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

4020311210010 is a wasteful number, since it uses less digits than its factorization.

4020311210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9517 (or 9377 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 4020311210010 its reverse (100121130204), we get a palindrome (4120432340214).

The spelling of 4020311210010 in words is "four trillion, twenty billion, three hundred eleven million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 103 111 185 206 222 309 370 515 555 618 1030 1110 1369 1545 2738 3090 3811 4107 6845 7622 8214 9227 10609 11433 13690 18454 19055 20535 21218 22866 27681 31827 38110 41070 46135 53045 55362 57165 63654 92270 106090 114330 138405 141007 159135 276810 282014 318270 341399 392533 423021 682798 705035 785066 846042 950381 1024197 1177599 1410070 1706995 1900762 1962665 2048394 2115105 2355198 2851143 3413990 3925330 4230210 4751905 5120985 5702286 5887995 9503810 10241970 11775990 12631763 14255715 14523721 25263526 28511430 29047442 35164097 37895289 43571163 63158815 70328194 72618605 75790578 87142326 97889243 105492291 126317630 145237210 175820485 189476445 195778486 210984582 217855815 293667729 351640970 378952890 435711630 489446215 527461455 587335458 978892430 1054922910 1301071589 1468338645 2602143178 2936677290 3621901991 3903214767 6505357945 7243803982 7806429534 10865705973 13010715890 18109509955 19516073835 21731411946 36219019910 39032147670 54328529865 108657059730 134010373667 268020747334 402031121001 670051868335 804062242002 1340103736670 2010155605005 4020311210010