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42301212010112 = 271124795701931
BaseRepresentation
bin10011001111001000001001…
…01101110010011010000000
312112202221211012022101100002
421213210010231302122000
521021030340233310422
6225544524124015132
711624106316303346
oct1147440455623200
9175687735271302
1042301212010112
1112529930431300
1248b23123914a8
131a7acaaa98683
14a63565045996
154d55419b7692
hex267904b72680

42301212010112 has 96 divisors (see below), whose sum is σ = 92822891414400. Its totient is φ = 19187678681600.

The previous prime is 42301212010087. The next prime is 42301212010121. The reversal of 42301212010112 is 21101021210324.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4567787 + ... + 10269717.

It is an arithmetic number, because the mean of its divisors is an integer number (966905118900).

Almost surely, 242301212010112 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 42301212010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46411445707200).

42301212010112 is an abundant number, since it is smaller than the sum of its proper divisors (50521679404288).

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

42301212010112 is a wasteful number, since it uses less digits than its factorization.

42301212010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702446 (or 5702423 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 42301212010112 its reverse (21101021210324), we get a palindrome (63402233220436).

The spelling of 42301212010112 in words is "forty-two trillion, three hundred one billion, two hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 479 484 704 958 968 1408 1916 1936 3832 3872 5269 7664 7744 10538 15328 15488 21076 30656 42152 57959 61312 84304 115918 168608 231836 337216 463672 674432 927344 1854688 3709376 5701931 7418752 11403862 22807724 45615448 62721241 91230896 125442482 182461792 250884964 364923584 501769928 689933651 729847168 1003539856 1379867302 2007079712 2731224949 2759734604 4014159424 5462449898 5519469208 8028318848 10924899796 11038938416 21849799592 22077876832 30043474439 43699599184 44155753664 60086948878 87399198368 88311507328 120173897756 174798396736 240347795512 330478218829 349596793472 480695591024 660956437658 961391182048 1321912875316 1922782364096 2643825750632 3845564728192 5287651501264 10575303002528 21150606005056 42301212010112