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10101330012 = 22319223198673
BaseRepresentation
bin10010110100001011…
…00001000001011100
3222001222102201202210
421122011201001130
5131141420030022
64350202320420
7505214613504
oct113205410134
928058381683
1010101330012
114313a34824
121b5aab9110
13c4c9a8467
146bb7bca04
153e1c26a0c
hex25a16105c

10101330012 has 48 divisors (see below), whose sum is σ = 24921666560. Its totient is φ = 3175573248.

The previous prime is 10101329999. The next prime is 10101330017. The reversal of 10101330012 is 21003310101.

It is a super-2 number, since 2×101013300122 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10101330012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101330017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48493 + ... + 150180.

Almost surely, 210101330012 is an apocalyptic number.

10101330012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101330012 is an abundant number, since it is smaller than the sum of its proper divisors (14820336548).

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

10101330012 is a wasteful number, since it uses less digits than its factorization.

10101330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198922 (or 198920 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10101330012 its reverse (21003310101), we get a palindrome (31104640113).

The spelling of 10101330012 in words is "ten billion, one hundred one million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 223 228 446 669 892 1338 2676 4237 8474 12711 16948 25422 50844 198673 397346 596019 794692 1192038 2384076 3774787 7549574 11324361 15099148 22648722 44304079 45297444 88608158 132912237 177216316 265824474 531648948 841777501 1683555002 2525332503 3367110004 5050665006 10101330012