Search a number
-
+
10020011220 = 223251732331381
BaseRepresentation
bin10010101010011110…
…10011110011010100
3221212022102022100200
421111033103303110
5131010110324340
64334135340500
7503206455462
oct112517236324
927768368320
1010020011220
11428204280a
121b37821730
13c38ba5a2b
146b0a91832
153d9a12330
hex2553d3cd4

10020011220 has 144 divisors (see below), whose sum is σ = 30723153552. Its totient is φ = 2643240960.

The previous prime is 10020011201. The next prime is 10020011233. The reversal of 10020011220 is 2211002001.

It can be written as a sum of positive squares in 8 ways, for example, as 1602756 + 10018408464 = 1266^2 + 100092^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 7254930 + ... + 7256310.

It is an arithmetic number, because the mean of its divisors is an integer number (213355233).

Almost surely, 210020011220 is an apocalyptic number.

10020011220 is a gapful number since it is divisible by the number (10) 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 10020011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361576776).

10020011220 is an abundant number, since it is smaller than the sum of its proper divisors (20703142332).

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

10020011220 is a wasteful number, since it uses less digits than its factorization.

10020011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020011220 its reverse (2211002001), we get a palindrome (12231013221).

The spelling of 10020011220 in words is "ten billion, twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 233 346 466 519 692 699 865 932 1038 1165 1381 1398 1557 1730 2076 2097 2330 2595 2762 2796 3114 3460 3495 4143 4194 4660 5190 5524 6228 6905 6990 7785 8286 8388 10380 10485 12429 13810 13980 15570 16572 20715 20970 24858 27620 31140 40309 41430 41940 49716 62145 80618 82860 120927 124290 161236 201545 238913 241854 248580 321773 362781 403090 477826 483708 604635 643546 716739 725562 806180 955652 965319 1194565 1209270 1287092 1433478 1451124 1608865 1813905 1930638 2150217 2389130 2418540 2866956 2895957 3217730 3583695 3627810 3861276 4300434 4778260 4826595 5791914 6435460 7167390 7255620 8600868 9653190 10751085 11583828 14334780 14479785 19306380 21502170 28959570 43004340 55666729 57919140 111333458 167000187 222666916 278333645 334000374 501000561 556667290 668000748 835000935 1002001122 1113334580 1670001870 2004002244 2505002805 3340003740 5010005610 10020011220