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10130100012 = 22321716552451
BaseRepresentation
bin10010110111100110…
…10000111100101100
3222010222120101210100
421123303100330230
5131221301200022
64353111111100
7506014300164
oct113363207454
928128511710
1010130100012
1143291a508a
121b68672490
13c5593c626
146c154b5a4
153e450b1ac
hex25bcd0f2c

10130100012 has 36 divisors (see below), whose sum is σ = 27112916376. Its totient is φ = 3178070400.

The previous prime is 10130099999. The next prime is 10130100017. The reversal of 10130100012 is 21000103101.

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

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 = 10130099967 and 10130100003.

It is not an unprimeable number, because it can be changed into a prime (10130100017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8275614 + ... + 8276837.

It is an arithmetic number, because the mean of its divisors is an integer number (753136566).

Almost surely, 210130100012 is an apocalyptic number.

10130100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10130100012 is an abundant number, since it is smaller than the sum of its proper divisors (16982816364).

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

10130100012 is a wasteful number, since it uses less digits than its factorization.

10130100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16552478 (or 16552473 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10130100012 its reverse (21000103101), we get a palindrome (31130203113).

The spelling of 10130100012 in words is "ten billion, one hundred thirty million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 16552451 33104902 49657353 66209804 99314706 148972059 198629412 281391667 297944118 562783334 595888236 844175001 1125566668 1688350002 2532525003 3376700004 5065050006 10130100012