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312220012213213 = 132937314543152671
BaseRepresentation
bin100011011111101100110001…
…0111010110111001111011101
31111221110221102110211010202221
41012333121202322313033131
5311410403041111310323
63024011520555345341
7122523102650451406
oct10677314272671735
91457427373733687
10312220012213213
1190534844376505
122b0263b6452251
131052a2b41a6540
14571575a27a9ad
15261685ba8355d
hex11bf662eb73dd

312220012213213 has 32 divisors (see below), whose sum is σ = 348790103101440. Its totient is φ = 277498131482880.

The previous prime is 312220012213181. The next prime is 312220012213253. The reversal of 312220012213213 is 312312210022213.

It is a cyclic number.

It is not a de Polignac number, because 312220012213213 - 25 = 312220012213181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312220012213253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2044974868 + ... + 2045127538.

It is an arithmetic number, because the mean of its divisors is an integer number (10899690721920).

Almost surely, 2312220012213213 is an apocalyptic number.

It is an amenable number.

312220012213213 is a deficient number, since it is larger than the sum of its proper divisors (36570090888227).

312220012213213 is a wasteful number, since it uses less digits than its factorization.

312220012213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167629.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 312220012213213 its reverse (312312210022213), we get a palindrome (624532222235426).

The spelling of 312220012213213 in words is "three hundred twelve trillion, two hundred twenty billion, twelve million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 13 29 373 377 4849 10817 14543 140621 152671 189059 421747 1984723 4427459 5424539 5482711 56946283 57556967 70519007 157311631 740301679 1651442207 2045051203 2220294353 21468748691 28863826589 64388536237 828169793669 837050971081 10766207317697 24016924016401 312220012213213