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312213022014321 = 32505148413141863
BaseRepresentation
bin100011011111101001100001…
…0010001010111101101110001
31111221110021101022112020120200
41012333103002101113231301
5311410244232113424241
63024004403211225413
7122522434510652661
oct10677230221275561
91457407338466520
10312213022014321
119053188760662a
122b024b85448269
131052973bc2278c
145715295b521a1
15261659d0534b6
hex11bf4c2457b71

312213022014321 has 24 divisors (see below), whose sum is σ = 451076145938496. Its totient is φ = 208095041263200.

The previous prime is 312213022014221. The next prime is 312213022014329. The reversal of 312213022014321 is 123410220312213.

312213022014321 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 1 + 3 + 0 + 220 + 1 + 432 + 1 = 666.

It is not a de Polignac number, because 312213022014321 - 213 = 312213022006129 is a prime.

It is a super-2 number, since 2×3122130220143212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312213022014329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200735636 + ... + 2200877498.

It is an arithmetic number, because the mean of its divisors is an integer number (18794839414104).

Almost surely, 2312213022014321 is an apocalyptic number.

It is an amenable number.

312213022014321 is a deficient number, since it is larger than the sum of its proper divisors (138863123924175).

312213022014321 is a wasteful number, since it uses less digits than its factorization.

312213022014321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195333 (or 195330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312213022014321 its reverse (123410220312213), we get a palindrome (435623242326534).

The spelling of 312213022014321 in words is "three hundred twelve trillion, two hundred thirteen billion, twenty-two million, fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 5051 15153 45459 48413 141863 145239 425589 435717 1276767 244534063 716550013 733602189 2149650039 2200806567 6448950117 6868013419 20604040257 61812120771 34690335779369 104071007338107 312213022014321