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12010213313031 = 359317784127299
BaseRepresentation
bin1010111011000101100001…
…1111111000101000000111
31120112011110102020011101110
42232301120133320220013
53033233404102004111
641313225452500103
72346465165520233
oct256613037705007
946464412204343
1012010213313031
11391055934507a
12141b7b017a633
13691734645b8b
142d74241cb5c3
1515c62e8b75a6
hexaec587f8a07

12010213313031 has 32 divisors (see below), whose sum is σ = 16339089312000. Its totient is φ = 7844982225920.

The previous prime is 12010213313017. The next prime is 12010213313047. The reversal of 12010213313031 is 13031331201021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12010213313031 - 26 = 12010213312967 is a prime.

It is a super-2 number, since 2×120102133130312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12010213312989 and 12010213313007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010213313531) 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 31 ways as a sum of consecutive naturals, for example, 439937020 + ... + 439964318.

It is an arithmetic number, because the mean of its divisors is an integer number (510596541000).

Almost surely, 212010213313031 is an apocalyptic number.

12010213313031 is a deficient number, since it is larger than the sum of its proper divisors (4328875998969).

12010213313031 is a wasteful number, since it uses less digits than its factorization.

12010213313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35519.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12010213313031 its reverse (13031331201021), we get a palindrome (25041544514052).

The spelling of 12010213313031 in words is "twelve trillion, ten billion, two hundred thirteen million, three hundred thirteen thousand, thirty-one".

Divisors: 1 3 59 177 317 951 7841 18703 23523 27299 56109 81897 462619 1387857 1610641 2485597 4831923 7456791 8653783 25961349 146650223 214051459 439950669 510573197 642154377 1531719591 12629036081 37887108243 67854312503 203562937509 4003404437677 12010213313031