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2232312420031 = 411092773375351
BaseRepresentation
bin100000011111000000001…
…100000101011010111111
321220101222200122112202221
4200133000030011122333
5243033233434420111
64425302110230211
7320164532331211
oct40370014053277
97811880575687
102232312420031
1179079a18a451
12300778ab5367
1313267704b9c5
147a08a15c5b1
153d1030a2371
hex207c03056bf

2232312420031 has 32 divisors (see below), whose sum is σ = 2323376415360. Its totient is φ = 2143314432000.

The previous prime is 2232312420001. The next prime is 2232312420067. The reversal of 2232312420031 is 1300242132322.

It is a cyclic number.

It is not a de Polignac number, because 2232312420031 - 25 = 2232312419999 is a prime.

It is a super-3 number, since 3×22323124200313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2232312419978 and 2232312420005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232312420001) 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 31 ways as a sum of consecutive naturals, for example, 417174006 + ... + 417179356.

It is an arithmetic number, because the mean of its divisors is an integer number (72605512980).

Almost surely, 22232312420031 is an apocalyptic number.

2232312420031 is a deficient number, since it is larger than the sum of its proper divisors (91063995329).

2232312420031 is a wasteful number, since it uses less digits than its factorization.

2232312420031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2232312420031 its reverse (1300242132322), we get a palindrome (3532554552353).

The spelling of 2232312420031 in words is "two trillion, two hundred thirty-two billion, three hundred twelve million, four hundred twenty thousand, thirty-one".

Divisors: 1 41 109 277 337 4469 5351 11357 13817 30193 36733 93349 219391 583259 1237913 1482227 1506053 1803287 3827309 10175041 23913619 60771307 73934767 161562743 196558283 417176681 499510499 6624072463 8058889603 20479930459 54446644391 2232312420031