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10002112002 = 232555672889
BaseRepresentation
bin10010101000010110…
…00001111000000010
3221211001201221020200
421110023001320002
5130441020041002
64332255550030
7502601356251
oct112413017002
927731657220
1010002112002
114272a27873
121b3182b316
13c3527988c
146ac552798
153d8178b1c
hex2542c1e02

10002112002 has 12 divisors (see below), whose sum is σ = 21671242710. Its totient is φ = 3334037328.

The previous prime is 10002111961. The next prime is 10002112067. The reversal of 10002112002 is 20021120001.

It can be written as a sum of positive squares in only one way, i.e., 9951858081 + 50253921 = 99759^2 + 7089^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277836427 + ... + 277836462.

Almost surely, 210002112002 is an apocalyptic number.

10002112002 is an abundant number, since it is smaller than the sum of its proper divisors (11669130708).

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

10002112002 is a wasteful number, since it uses less digits than its factorization.

10002112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555672897 (or 555672894 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002112002 its reverse (20021120001), we get a palindrome (30023232003).

The spelling of 10002112002 in words is "ten billion, two million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 555672889 1111345778 1667018667 3334037334 5001056001 10002112002