Search a number
-
+
2010000101220 = 22325372693112069
BaseRepresentation
bin11101001111111101010…
…101111000111101100100
321010011011100210121221100
4131033331111320331210
5230412440011214340
64135214205520100
7265134450651066
oct35177525707544
97104140717840
102010000101220
11705488724951
12285674b73030
13117708288927
146d3daa3b736
1537440daa830
hex1d3fd578f64

2010000101220 has 144 divisors (see below), whose sum is σ = 6264165201840. Its totient is φ = 521315232768.

The previous prime is 2010000101177. The next prime is 2010000101279. The reversal of 2010000101220 is 221010000102.

It can be written as a sum of positive squares in 8 ways, for example, as 12617130276 + 1997382970944 = 112326^2 + 1413288^2 .

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

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, 17879346 + ... + 17991414.

It is an arithmetic number, because the mean of its divisors is an integer number (43501147235).

Almost surely, 22010000101220 is an apocalyptic number.

2010000101220 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 2010000101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132082600920).

2010000101220 is an abundant number, since it is smaller than the sum of its proper divisors (4254165100620).

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

2010000101220 is a wasteful number, since it uses less digits than its factorization.

2010000101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114814 (or 114809 counting only the distinct ones).

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

Adding to 2010000101220 its reverse (221010000102), we get a palindrome (2231010101322).

The spelling of 2010000101220 in words is "two trillion, ten billion, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 2693 3330 5386 6660 8079 10772 13465 16158 24237 26930 32316 40395 48474 53860 80790 96948 99641 112069 121185 161580 199282 224138 242370 298923 336207 398564 448276 484740 498205 560345 597846 672414 896769 996410 1008621 1120690 1195692 1344828 1494615 1681035 1793538 1992820 2017242 2241380 2989230 3362070 3587076 4034484 4146553 4483845 5043105 5978460 6724140 8293106 8967690 10086210 12439659 16586212 17935380 20172420 20732765 24879318 37318977 41465530 49758636 62198295 74637954 82931060 124396590 149275908 186594885 248793180 301801817 373189770 603603634 746379540 905405451 1207207268 1509009085 1810810902 2716216353 3018018170 3621621804 4527027255 5432432706 6036036340 9054054510 10864865412 11166667229 13581081765 18108109020 22333334458 27162163530 33500001687 44666668916 54324327060 55833336145 67000003374 100500005061 111666672290 134000006748 167500008435 201000010122 223333344580 335000016870 402000020244 502500025305 670000033740 1005000050610 2010000101220