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20101011000012 = 22326165913889933
BaseRepresentation
bin1001001001000001000011…
…00111101100101011001100
32122011122020000110222012100
410210200201213230223030
510113313332304000022
6110430135454235100
74143151535244165
oct444404147545314
978148200428170
1020101011000012
11644a87774a438
122307863ab5a90
13b2a6953b2427
144d6c7369076c
1524cd17c261ac
hex1248219ecacc

20101011000012 has 72 divisors (see below), whose sum is σ = 51722225034480. Its totient is φ = 6580494184320.

The previous prime is 20101010999989. The next prime is 20101011000041. The reversal of 20101011000012 is 21000011010102.

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 = 20101010999958 and 20101011000003.

It is an unprimeable number.

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, 5497803 + ... + 8392130.

It is an arithmetic number, because the mean of its divisors is an integer number (718364236590).

Almost surely, 220101011000012 is an apocalyptic number.

It is an amenable number.

20101011000012 is an abundant number, since it is smaller than the sum of its proper divisors (31621214034468).

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

20101011000012 is a wasteful number, since it uses less digits than its factorization.

20101011000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13890663 (or 13890658 counting only the distinct ones).

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

Adding to 20101011000012 its reverse (21000011010102), we get a palindrome (41101022010114).

The spelling of 20101011000012 in words is "twenty trillion, one hundred one billion, eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 659 732 1098 1318 1977 2196 2636 3954 5931 7908 11862 23724 40199 80398 120597 160796 241194 361791 482388 723582 1447164 13889933 27779866 41669799 55559732 83339598 125009397 166679196 250018794 500037588 847285913 1694571826 2541857739 3389143652 5083715478 7625573217 9153465847 10167430956 15251146434 18306931694 27460397541 30502292868 36613863388 54920795082 82381192623 109841590164 164762385246 329524770492 558361416667 1116722833334 1675084250001 2233445666668 3350168500002 5025252750003 6700337000004 10050505500006 20101011000012