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331012302220000 = 2554125771315943
BaseRepresentation
bin100101101000011011100111…
…0101100001010101011100000
31121102000110121110212022002001
41023100313032230022223200
5321341301143332020000
63132000541413133344
7126502564266106042
oct11320671654125340
91542013543768061
10331012302220000
119651a590148435
123116049a32a254
131129143176b7cb
145ba511c037a92
1528405c9e1b46a
hex12d0dceb0aae0

331012302220000 has 120 divisors (see below), whose sum is σ = 814405282525296. Its totient is φ = 132394292736000.

The previous prime is 331012302219971. The next prime is 331012302220009. The reversal of 331012302220000 is 22203210133.

It is a self number, because there is not a number n which added to its sum of digits gives 331012302220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331012302220009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 250882029 + ... + 252197971.

Almost surely, 2331012302220000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331012302220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407202641262648).

331012302220000 is an abundant number, since it is smaller than the sum of its proper divisors (483392980305296).

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

331012302220000 is a wasteful number, since it uses less digits than its factorization.

331012302220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328550 (or 1328527 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 331012302220000 its reverse (22203210133), we get a palindrome (331034505430133).

The spelling of 331012302220000 in words is "three hundred thirty-one trillion, twelve billion, three hundred two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 12577 20000 25154 50308 62885 100616 125770 201232 251540 314425 402464 503080 628850 1006160 1257700 1315943 1572125 2012320 2515400 2631886 3144250 5030800 5263772 6288500 6579715 7860625 10061600 10527544 12577000 13159430 15721250 21055088 25154000 26318860 31442500 32898575 42110176 50308000 52637720 62885000 65797150 105275440 125770000 131594300 164492875 210550880 251540000 263188600 328985750 526377200 657971500 822464375 1052754400 1315943000 1644928750 2631886000 3289857500 5263772000 6579715000 13159430000 16550615111 26318860000 33101230222 66202460444 82753075555 132404920888 165506151110 264809841776 331012302220 413765377775 529619683552 662024604440 827530755550 1324049208880 1655061511100 2068826888875 2648098417760 3310123022200 4137653777750 6620246044400 8275307555500 10344134444375 13240492088800 16550615111000 20688268888750 33101230222000 41376537777500 66202460444000 82753075555000 165506151110000 331012302220000