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12002031122313 = 339716376155939
BaseRepresentation
bin1010111010100111000011…
…0011010011011110001001
31120111101100011222210210210
42232221300303103132021
53033120124431403223
641305353524031333
72346055343165631
oct256516063233611
946441304883723
1012002031122313
11390803a749091
12141a0a7b32549
13690a2c4429cb
142d6c896596c1
1515c3013ce893
hexaea70cd3789

12002031122313 has 16 divisors (see below), whose sum is σ = 16052820114240. Its totient is φ = 7976322737856.

The previous prime is 12002031122303. The next prime is 12002031122353. The reversal of 12002031122313 is 31322113020021.

It is not a de Polignac number, because 12002031122313 - 25 = 12002031122281 is a prime.

It is a super-4 number, since 4×120020311223134 (a number of 53 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12002031122313.

It is not an unprimeable number, because it can be changed into a prime (12002031122303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128303 + ... + 5027636.

It is an arithmetic number, because the mean of its divisors is an integer number (1003301257140).

Almost surely, 212002031122313 is an apocalyptic number.

It is an amenable number.

12002031122313 is a deficient number, since it is larger than the sum of its proper divisors (4050788991927).

12002031122313 is a wasteful number, since it uses less digits than its factorization.

12002031122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157976.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12002031122313 its reverse (31322113020021), we get a palindrome (43324144142334).

The spelling of 12002031122313 in words is "twelve trillion, two billion, thirty-one million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 397 1191 1637 4911 649889 1949667 6155939 18467817 2443907783 7331723349 10077272143 30231816429 4000677040771 12002031122313