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11001212210010 = 23511371709527209
BaseRepresentation
bin1010000000010110101101…
…0110001000101101011010
31102221201001101122022211110
42200011223112020231122
52420220440311210020
635221515341241150
72213545202614311
oct240055326105532
942851041568743
1011001212210010
113561651545270
1212981378631b6
1361a543601c99
142a0666563278
15141277d078e0
hexa016b588b5a

11001212210010 has 128 divisors (see below), whose sum is σ = 29599003411200. Its totient is φ = 2593357240320.

The previous prime is 11001212209991. The next prime is 11001212210039. The reversal of 11001212210010 is 1001221210011.

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, 20603286 + ... + 21130494.

It is an arithmetic number, because the mean of its divisors is an integer number (231242214150).

Almost surely, 211001212210010 is an apocalyptic number.

11001212210010 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 11001212210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799501705600).

11001212210010 is an abundant number, since it is smaller than the sum of its proper divisors (18597791201190).

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

11001212210010 is a wasteful number, since it uses less digits than its factorization.

11001212210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528976.

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

Adding to 11001212210010 its reverse (1001221210011), we get a palindrome (12002433420021).

Subtracting from 11001212210010 its reverse (1001221210011), we obtain a palindrome (9999990999999).

The spelling of 11001212210010 in words is "eleven trillion, one billion, two hundred twelve million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 1709 2035 2442 3418 4070 5127 6105 8545 10254 12210 17090 18799 25635 37598 51270 56397 63233 93995 112794 126466 187990 189699 281985 316165 379398 527209 563970 632330 695563 948495 1054418 1391126 1581627 1896990 2086689 2636045 3163254 3477815 4173378 5272090 5799299 6955630 7908135 10433445 11598598 15816270 17397897 19506733 20866890 28996495 34795794 39013466 57992990 58520199 86989485 97533665 117040398 173978970 195067330 214574063 292600995 429148126 585201990 643722189 901000181 1072870315 1287444378 1802000362 2145740630 2703000543 3218610945 4505000905 5406001086 6437221890 9010001810 9911001991 13515002715 19822003982 27030005430 29733005973 33337006697 49555009955 59466011946 66674013394 99110019910 100011020091 148665029865 166685033485 200022040182 297330059730 333370066970 366707073667 500055100455 733414147334 1000110200910 1100121221001 1833535368335 2200242442002 3667070736670 5500606105005 11001212210010