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31220212434401 = 417361716906121
BaseRepresentation
bin1110001100101000001011…
…01011000000010111100001
311002112121211021122220221002
413012110011223000113201
513043002443340400101
6150222211222241345
76401404653062354
oct706240553002741
9132477737586832
1031220212434401
119a47466012291
123602829b86255
1314560904207c3
1479d0d009829b
153921991e3d6b
hex1c6505ac05e1

31220212434401 has 16 divisors (see below), whose sum is σ = 32472332394768. Its totient is φ = 29992809369600.

The previous prime is 31220212434391. The next prime is 31220212434431. The reversal of 31220212434401 is 10443421202213.

It can be written as a sum of positive squares in 8 ways, for example, as 19511832528400 + 11708379906001 = 4417220^2 + 3421751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31220212434401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31220212434431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6606380 + ... + 10299741.

It is an arithmetic number, because the mean of its divisors is an integer number (2029520774673).

Almost surely, 231220212434401 is an apocalyptic number.

It is an amenable number.

31220212434401 is a deficient number, since it is larger than the sum of its proper divisors (1252119960367).

31220212434401 is a wasteful number, since it uses less digits than its factorization.

31220212434401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16906852.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 31220212434401 its reverse (10443421202213), we get a palindrome (41663633636614).

The spelling of 31220212434401 in words is "thirty-one trillion, two hundred twenty billion, two hundred twelve million, four hundred thirty-four thousand, four hundred one".

Divisors: 1 41 73 617 2993 25297 45041 1846681 16906121 693150961 1234146833 10431076657 50600020153 427674142937 761468595961 31220212434401