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11100210012 = 22323741919889
BaseRepresentation
bin10100101011001111…
…11100001101011100
31001122121000002112100
422111213330031130
5140213123210022
65033244005100
7542034141213
oct122547741534
931577002470
1011100210012
114786863091
122199530790
13107b912908
1477431807a
1544e7861ac
hex2959fc35c

11100210012 has 72 divisors (see below), whose sum is σ = 28887440400. Its totient is φ = 3591295488.

The previous prime is 11100209999. The next prime is 11100210013. The reversal of 11100210012 is 21001200111.

It is a happy number.

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 = 11100209976 and 11100210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100210013) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 548164 + ... + 568052.

It is an arithmetic number, because the mean of its divisors is an integer number (401214450).

Almost surely, 211100210012 is an apocalyptic number.

11100210012 is a gapful number since it is divisible by the number (12) 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 11100210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443720200).

11100210012 is an abundant number, since it is smaller than the sum of its proper divisors (17787230388).

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

11100210012 is a wasteful number, since it uses less digits than its factorization.

11100210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20355 (or 20350 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100210012 its reverse (21001200111), we get a palindrome (32101410123).

Subtracting 11100210012 from its reverse (21001200111), we obtain a palindrome (9900990099).

The spelling of 11100210012 in words is "eleven billion, one hundred million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 419 444 666 838 1257 1332 1676 2514 3771 5028 7542 15084 15503 19889 31006 39778 46509 59667 62012 79556 93018 119334 139527 179001 186036 238668 279054 358002 558108 716004 735893 1471786 2207679 2943572 4415358 6623037 8333491 8830716 13246074 16666982 25000473 26492148 33333964 50000946 75001419 100001892 150002838 300005676 308339167 616678334 925017501 1233356668 1850035002 2775052503 3700070004 5550105006 11100210012