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11012211200010 = 23529371822318773
BaseRepresentation
bin1010000000111111101011…
…1011111101000000001010
31102222202102221011220121110
42200033322323331000022
52420411002031400020
635230535011551150
72214414600522456
oct240177273750012
942882387156543
1011012211200010
113566286153249
12129a2a72bb4b6
1361b5a72649a7
142a0dcb24d666
151416bd7478e0
hexa03faefd00a

11012211200010 has 128 divisors (see below), whose sum is σ = 28082635822080. Its totient is φ = 2758399128576.

The previous prime is 11012211199991. The next prime is 11012211200027. The reversal of 11012211200010 is 1000211221011.

11012211200010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586588984 + ... + 586607756.

It is an arithmetic number, because the mean of its divisors is an integer number (219395592360).

Almost surely, 211012211200010 is an apocalyptic number.

11012211200010 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 11012211200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14041317911040).

11012211200010 is an abundant number, since it is smaller than the sum of its proper divisors (17070424622070).

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

11012211200010 is a wasteful number, since it uses less digits than its factorization.

11012211200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37072.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012211200010 its reverse (1000211221011), we get a palindrome (12012422421021).

The spelling of 11012211200010 in words is "eleven trillion, twelve billion, two hundred eleven million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 111 145 174 185 222 290 370 435 555 870 1073 1110 2146 3219 5365 6438 10730 16095 18223 18773 32190 36446 37546 54669 56319 91115 93865 109338 112638 182230 187730 273345 281595 528467 544417 546690 563190 674251 694601 1056934 1088834 1348502 1389202 1585401 1633251 2022753 2083803 2642335 2722085 3170802 3266502 3371255 3473005 4045506 4167606 5284670 5444170 6742510 6946010 7927005 8166255 10113765 10419015 15854010 16332510 19553279 20143429 20227530 20838030 39106558 40286858 58659837 60430287 97766395 100717145 117319674 120860574 195532790 201434290 293299185 302151435 342100379 586598370 604302870 684200758 1026301137 1710501895 2052602274 3421003790 5131505685 9920910991 10263011370 12657714023 19841821982 25315428046 29762732973 37973142069 49604554955 59525465946 63288570115 75946284138 99209109910 126577140230 148813664865 189865710345 297627329730 367073706667 379731420690 734147413334 1101221120001 1835368533335 2202442240002 3670737066670 5506105600005 11012211200010