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101100001222012 = 221323607139261571
BaseRepresentation
bin10110111111001100101101…
…101010001101110101111100
3111020222001202220200101022011
4112333030231222031311330
5101222410300303101022
6555004411022301004
730203143164226432
oct2677145552156574
9436861686611264
10101100001222012
112a2392a70222a1
12b409a35a27764
1344548c625b4b0
141ad73a2516d52
15ba4c9a412977
hex5bf32da8dd7c

101100001222012 has 48 divisors (see below), whose sum is σ = 199146276145152. Its totient is φ = 44559246029760.

The previous prime is 101100001222001. The next prime is 101100001222027. The reversal of 101100001222012 is 210222100001101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101100001221983 and 101100001222001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68904814 + ... + 70356757.

It is an arithmetic number, because the mean of its divisors is an integer number (4148880753024).

Almost surely, 2101100001222012 is an apocalyptic number.

It is an amenable number.

101100001222012 is a deficient number, since it is larger than the sum of its proper divisors (98046274923140).

101100001222012 is a wasteful number, since it uses less digits than its factorization.

101100001222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139262218 (or 139262216 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101100001222012 its reverse (210222100001101), we get a palindrome (311322101223113).

The spelling of 101100001222012 in words is "one hundred one trillion, one hundred billion, one million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 13 23 26 46 52 92 299 598 607 1196 1214 2428 7891 13961 15782 27922 31564 55844 181493 362986 725972 139261571 278523142 557046284 1810400423 3203016133 3620800846 6406032266 7241601692 12812064532 41639209729 83278419458 84531773597 166556838916 169063547194 338127094388 1098913056761 1944230792731 2197826113522 3888461585462 4395652227044 7776923170924 25275000305503 50550000611006 101100001222012