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10001133002313 = 333147254229467
BaseRepresentation
bin1001000110001001000111…
…1110101101111001001001
31022102002200011011201211000
42101202101332231321021
52302324310022033223
633134242421125213
72051362253612115
oct221422176557111
938362604151730
1010001133002313
11320650293a472
121156353259809
13577144ac28ab
142680b37bc745
15125244647543
hex91891fade49

10001133002313 has 32 divisors (see below), whose sum is σ = 15619858513920. Its totient is φ = 6315059935440.

The previous prime is 10001133002299. The next prime is 10001133002359. The reversal of 10001133002313 is 31320033110001.

It is a happy number.

10001133002313 is a `hidden beast` number, since 10 + 0 + 0 + 11 + 330 + 0 + 2 + 313 = 666.

10001133002313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001133002313 - 24 = 10001133002297 is a prime.

It is a super-2 number, since 2×100011330023132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001133002213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127075395 + ... + 127154072.

It is an arithmetic number, because the mean of its divisors is an integer number (488120578560).

Almost surely, 210001133002313 is an apocalyptic number.

It is an amenable number.

10001133002313 is a deficient number, since it is larger than the sum of its proper divisors (5618725511607).

10001133002313 is a wasteful number, since it uses less digits than its factorization.

10001133002313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254229554 (or 254229548 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10001133002313 its reverse (31320033110001), we get a palindrome (41321166112314).

The spelling of 10001133002313 in words is "ten trillion, one billion, one hundred thirty-three million, two thousand, three hundred thirteen".

Divisors: 1 3 9 27 31 47 93 141 279 423 837 1269 1457 4371 13113 39339 254229467 762688401 2288065203 6864195609 7881113477 11948784949 23643340431 35846354847 70930021293 107539064541 212790063879 322617193623 370412333419 1111237000257 3333711000771 10001133002313