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2010002020110 = 2325721024344497
BaseRepresentation
bin11101001111111101011…
…101001101011100001110
321010011011111102010011100
4131033331131031130032
5230412441004120420
64135214315003530
7265134503162400
oct35177535153416
97104144363140
102010002020110
11705489815607
122856757395a6
131177087ab176
146d3dadbab70
1537441139190
hex1d3fd74d70e

2010002020110 has 144 divisors (see below), whose sum is σ = 6079960735056. Its totient is φ = 459373856256.

The previous prime is 2010002020093. The next prime is 2010002020111. The reversal of 2010002020110 is 110202000102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010002020092 and 2010002020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010002020111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45149382 + ... + 45193878.

It is an arithmetic number, because the mean of its divisors is an integer number (42221949549).

Almost surely, 22010002020110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010002020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039980367528).

2010002020110 is an abundant number, since it is smaller than the sum of its proper divisors (4069958714946).

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

2010002020110 is a wasteful number, since it uses less digits than its factorization.

2010002020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54767 (or 54757 counting only the distinct ones).

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

Adding to 2010002020110 its reverse (110202000102), we get a palindrome (2120204020212).

The spelling of 2010002020110 in words is "two trillion, ten billion, two million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 10243 20486 30729 44497 51215 61458 71701 88994 92187 102430 133491 143402 153645 184374 215103 222485 266982 307290 311479 358505 400473 430206 444970 460935 501907 622958 645309 667455 717010 800946 921870 934437 1003814 1075515 1290618 1334910 1505721 1557395 1868874 2002365 2151030 2180353 2509535 2803311 3011442 3114790 3226545 4004730 4360706 4517163 4672185 5019070 5606622 6453090 6541059 7528605 9034326 9344370 10901765 13082118 14016555 15057210 19623177 21803530 22585815 28033110 32705295 39246354 45171630 65410590 98115885 196231770 455782771 911565542 1367348313 2278913855 2734696626 3190479397 4102044939 4557827710 6380958794 6836741565 8204089878 9571438191 13673483130 15952396985 19142876382 20510224695 22333355779 28714314573 31904793970 41020449390 44666711558 47857190955 57428629146 67000067337 95714381910 111666778895 134000134674 143571572865 201000202011 223333557790 287143145730 335000336685 402000404022 670000673370 1005001010055 2010002020110