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103221213012 = 22323498215633
BaseRepresentation
bin110000000100001110…
…1101011011101010100
3100212102122220220210100
41200020131223131110
53142344112304022
6115230312454100
710312626556041
oct1401035533524
9325378826710
10103221213012
113a859758115
12180086aa330
13996cc97848
144dd2bac1c8
152a41e281ac
hex180876b754

103221213012 has 36 divisors (see below), whose sum is σ = 261667942900. Its totient is φ = 34308479232.

The previous prime is 103221212993. The next prime is 103221213091. The reversal of 103221213012 is 210312122301.

It can be written as a sum of positive squares in 2 ways, for example, as 88515770256 + 14705442756 = 297516^2 + 121266^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1032212130122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4095253 + ... + 4120380.

Almost surely, 2103221213012 is an apocalyptic number.

103221213012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103221213012 is an abundant number, since it is smaller than the sum of its proper divisors (158446729888).

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

103221213012 is a wasteful number, since it uses less digits than its factorization.

103221213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215992 (or 8215987 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103221213012 its reverse (210312122301), we get a palindrome (313533335313).

The spelling of 103221213012 in words is "one hundred three billion, two hundred twenty-one million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 349 698 1047 1396 2094 3141 4188 6282 12564 8215633 16431266 24646899 32862532 49293798 73940697 98587596 147881394 295762788 2867255917 5734511834 8601767751 11469023668 17203535502 25805303253 34407071004 51610606506 103221213012