Search a number
-
+
10200020303310 = 2353153283731233
BaseRepresentation
bin1001010001101110000010…
…0101100011110111001110
31100010010000221201110020020
42110123200211203313032
52314104120144201220
633405454042203010
72101633004022525
oct224334045436716
940103027643206
1010200020303310
113282893602412
1211889ba1b3466
1358cb1c735b96
1427397dbb74bc
1512a4d5078040
hex946e0963dce

10200020303310 has 128 divisors (see below), whose sum is σ = 25837527453696. Its totient is φ = 2573468651520.

The previous prime is 10200020303293. The next prime is 10200020303311. The reversal of 10200020303310 is 1330302000201.

10200020303310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102000203033102 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10200020303310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200020303311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13583454 + ... + 14314686.

It is an arithmetic number, because the mean of its divisors is an integer number (201855683232).

Almost surely, 210200020303310 is an apocalyptic number.

10200020303310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200020303310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12918763726848).

10200020303310 is an abundant number, since it is smaller than the sum of its proper divisors (15637507150386).

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

10200020303310 is a wasteful number, since it uses less digits than its factorization.

10200020303310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731610.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10200020303310 its reverse (1330302000201), we get a palindrome (11530322303511).

The spelling of 10200020303310 in words is "ten trillion, two hundred billion, twenty million, three hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 53 62 93 106 155 159 186 265 283 310 318 465 530 566 795 849 930 1415 1590 1643 1698 2830 3286 4245 4929 8215 8490 8773 9858 14999 16430 17546 24645 26319 29998 43865 44997 49290 52638 74995 87730 89994 131595 149990 224985 263190 449970 464969 731233 929938 1394907 1462466 2193699 2324845 2789814 3656165 4387398 4649690 6974535 7312330 10968495 13949070 21936990 22668223 38755349 45336446 68004669 77510698 113341115 116266047 136009338 193776745 206938939 226682230 232532094 340023345 387553490 413877878 581330235 620816817 680046690 1034694695 1162660470 1201415819 1241633634 2069389390 2402831638 3104084085 3604247457 6007079095 6208168170 6415107109 7208494914 10967763767 12014158190 12830214218 18021237285 19245321327 21935527534 32075535545 32903291301 36042474570 38490642654 54838818835 64151071090 65806582602 96226606635 109677637670 164516456505 192453213270 329032913010 340000676777 680001353554 1020002030331 1700003383885 2040004060662 3400006767770 5100010151655 10200020303310