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312233022203130 = 2325717414241167663
BaseRepresentation
bin100011011111110010110101…
…0011000000010010011111010
31111221112012000011102002211100
41012333211222120002103322
5311411111212141000010
63024021511544512230
7122524043234524230
oct10677455230022372
91457465004362740
10312233022203130
119053a310154496
122b028a2747b676
131052b5a8665322
145716232086950
152616d6dd0a2c0
hex11bf96a6024fa

312233022203130 has 384 divisors, whose sum is σ = 1006556429039616. Its totient is φ = 65515334860800.

The previous prime is 312233022203119. The next prime is 312233022203153. The reversal of 312233022203130 is 31302220332213.

312233022203130 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 3 + 302 + 220 + 3 + 130 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312233022203094 and 312233022203103.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1862181679 + ... + 1862349341.

It is an arithmetic number, because the mean of its divisors is an integer number (2621240700624).

Almost surely, 2312233022203130 is an apocalyptic number.

312233022203130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312233022203130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503278214519808).

312233022203130 is an abundant number, since it is smaller than the sum of its proper divisors (694323406836486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312233022203130 is a wasteful number, since it uses less digits than its factorization.

312233022203130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171982 (or 171979 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 312233022203130 its reverse (31302220332213), we get a palindrome (343535242535343).

The spelling of 312233022203130 in words is "three hundred twelve trillion, two hundred thirty-three billion, twenty-two million, two hundred three thousand, one hundred thirty".