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11211001211010 = 23537181547102013
BaseRepresentation
bin1010001100100100001110…
…1111101010100010000010
31110200202112221122210020110
42203021003233222202002
52432140112302223020
635502132435452150
72234653026655656
oct243110357524202
943622487583213
1011211001211010
113632616a05837
121310925757056
136342679a2b33
142aa888760a66
1514695585b8e0
hexa3243bea882

11211001211010 has 128 divisors (see below), whose sum is σ = 27837345279744. Its totient is φ = 2887412935680.

The previous prime is 11211001210967. The next prime is 11211001211027. The reversal of 11211001211010 is 1011210011211.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109846764 + ... + 109948776.

It is an arithmetic number, because the mean of its divisors is an integer number (217479259998).

Almost surely, 211211001211010 is an apocalyptic number.

11211001211010 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 11211001211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918672639872).

11211001211010 is an abundant number, since it is smaller than the sum of its proper divisors (16626344068734).

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

11211001211010 is a wasteful number, since it uses less digits than its factorization.

11211001211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102788.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11211001211010 its reverse (1011210011211), we get a palindrome (12222211222221).

The spelling of 11211001211010 in words is "eleven trillion, two hundred eleven billion, one million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 181 185 222 362 370 543 547 555 905 1086 1094 1110 1641 1810 2715 2735 3282 5430 5470 6697 8205 13394 16410 20091 20239 33485 40182 40478 60717 66970 99007 100455 101195 102013 121434 198014 200910 202390 204026 297021 303585 306039 495035 510065 594042 607170 612078 990070 1020130 1485105 1530195 2970210 3060390 3663259 3774481 7326518 7548962 10989777 11323443 18316295 18464353 18872405 21979554 22646886 36632590 36928706 37744810 54948885 55393059 55801111 56617215 92321765 109897770 110786118 111602222 113234430 167403333 184643530 276965295 279005555 334806666 553930590 558011110 683181061 837016665 1366362122 1674033330 2049543183 2064641107 3415905305 4099086366 4129282214 6193923321 6831810610 10100001091 10247715915 10323205535 12387846642 20200002182 20495431830 20646411070 30300003273 30969616605 50500005455 60600006546 61939233210 101000010910 151500016365 303000032730 373700040367 747400080734 1121100121101 1868500201835 2242200242202 3737000403670 5605500605505 11211001211010