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1101010000212 = 223419178851527
BaseRepresentation
bin10000000001011001010…
…011110101100101010100
310220020220021120002120000
4100001121103311211110
5121014332030001322
62201444053211300
7142355024405403
oct20013123654524
93806807502500
101101010000212
11394a32495111
12159472030b30
137ca95107135
143b40969963a
151d98e4aa3ac
hex100594f5954

1101010000212 has 60 divisors (see below), whose sum is σ = 3029744884320. Its totient is φ = 347687366544.

The previous prime is 1101010000157. The next prime is 1101010000213. The reversal of 1101010000212 is 2120000101011.

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 = 1101010000194 and 1101010000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101010000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89419608 + ... + 89431919.

It is an arithmetic number, because the mean of its divisors is an integer number (50495748072).

Almost surely, 21101010000212 is an apocalyptic number.

1101010000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1101010000212 is an abundant number, since it is smaller than the sum of its proper divisors (1928734884108).

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

1101010000212 is a wasteful number, since it uses less digits than its factorization.

1101010000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178851562 (or 178851551 counting only the distinct ones).

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

Adding to 1101010000212 its reverse (2120000101011), we get a palindrome (3221010101223).

The spelling of 1101010000212 in words is "one trillion, one hundred one billion, ten million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 178851527 357703054 536554581 715406108 1073109162 1609663743 2146218324 3219327486 3398179013 4828991229 6438654972 6796358026 9657982458 10194537039 13592716052 14486973687 19315964916 20389074078 28973947374 30583611117 40778148156 57947894748 61167222234 91750833351 122334444468 183501666702 275252500053 367003333404 550505000106 1101010000212