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10112000213 = 72347615497
BaseRepresentation
bin10010110101011100…
…01110000011010101
3222002201111211112102
421122232032003111
5131202133001323
64351223131445
7505404404120
oct113256160325
928081454472
1010112000213
114319a62477
121b625a3b85
13c51c730a3
146bcd993b7
153e2b33328
hex25ab8e0d5

10112000213 has 8 divisors (see below), whose sum is σ = 11561514432. Its totient is φ = 8663721696.

The previous prime is 10112000201. The next prime is 10112000219. The reversal of 10112000213 is 31200021101.

10112000213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10112000213 - 222 = 10107805909 is a prime.

It is a super-3 number, since 3×101120002133 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112000194 and 10112000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112000219) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 291320 + ... + 324177.

It is an arithmetic number, because the mean of its divisors is an integer number (1445189304).

Almost surely, 210112000213 is an apocalyptic number.

It is an amenable number.

10112000213 is a deficient number, since it is larger than the sum of its proper divisors (1449514219).

10112000213 is an equidigital number, since it uses as much as digits as its factorization.

10112000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617851.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10112000213 its reverse (31200021101), we get a palindrome (41312021314).

The spelling of 10112000213 in words is "ten billion, one hundred twelve million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 7 2347 16429 615497 4308479 1444571459 10112000213