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10011220011012 = 2231153226999849
BaseRepresentation
bin1001000110101110101100…
…1101100110100000000100
31022110001201010122212102210
42101223223031212200010
52303010434310323022
633143031352503420
72052200236020543
oct221535315464004
938401633585383
1010011220011012
11320a8097823a0
1211582a93aab70
135780918255ac
1426878d31015a
15125634e90a0c
hex91aeb366804

10011220011012 has 72 divisors (see below), whose sum is σ = 25972991704800. Its totient is φ = 2976463243520.

The previous prime is 10011220010977. The next prime is 10011220011017. The reversal of 10011220011012 is 21011002211001.

It is a super-2 number, since 2×100112200110122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10011220011017) 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, 13129137 + ... + 13870712.

It is an arithmetic number, because the mean of its divisors is an integer number (360735995900).

Almost surely, 210011220011012 is an apocalyptic number.

10011220011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011220011012 is an abundant number, since it is smaller than the sum of its proper divisors (15961771693788).

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

10011220011012 is a wasteful number, since it uses less digits than its factorization.

10011220011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26999973 (or 26999918 counting only the distinct ones).

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

Adding to 10011220011012 its reverse (21011002211001), we get a palindrome (31022222222013).

The spelling of 10011220011012 in words is "ten trillion, eleven billion, two hundred twenty million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 2809 3498 5618 6996 8427 11236 16854 30899 33708 61798 92697 123596 185394 370788 26999849 53999698 80999547 107999396 161999094 296998339 323998188 593996678 890995017 1187993356 1430991997 1781990034 2861983994 3563980068 4292975991 5723967988 8585951982 15740911967 17171903964 31481823934 47222735901 62963647868 75842575841 94445471802 151685151682 188890943604 227527727523 303370303364 455055455046 834268334251 910110910092 1668536668502 2502805002753 3337073337004 5005610005506 10011220011012