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10121321006 = 231211773683
BaseRepresentation
bin10010110110100011…
…10001101000101110
3222010101001101020222
421123101301220232
5131212024233011
64352155011342
7505546544336
oct113321615056
928111041228
1010121321006
114324249305
121b65739b52
13c53b87754
146c03040c6
153e3874ddb
hex25b471a2e

10121321006 has 16 divisors (see below), whose sum is σ = 15746016768. Its totient is φ = 4874196600.

The previous prime is 10121321003. The next prime is 10121321017. The reversal of 10121321006 is 60012312101.

10121321006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101213210062 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121321003) 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, 373760 + ... + 399923.

It is an arithmetic number, because the mean of its divisors is an integer number (984126048).

Almost surely, 210121321006 is an apocalyptic number.

10121321006 is a deficient number, since it is larger than the sum of its proper divisors (5624695762).

10121321006 is a wasteful number, since it uses less digits than its factorization.

10121321006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773927.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10121321006 its reverse (60012312101), we get a palindrome (70133633107).

The spelling of 10121321006 in words is "ten billion, one hundred twenty-one million, three hundred twenty-one thousand, six".

Divisors: 1 2 31 62 211 422 6541 13082 773683 1547366 23984173 47968346 163247113 326494226 5060660503 10121321006