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2230141341012 = 2231379316757139
BaseRepresentation
bin100000011100111110110…
…010000100110101010100
321220012101101101022020220
4200130332302010311110
5243014312140403022
64424302432354340
7320056660424604
oct40347662046524
97805341338226
102230141341012
1178a885713672
123002719a59b0
131323bc305170
1479d21a8cc04
153d02769985c
hex2073ec84d54

2230141341012 has 96 divisors (see below), whose sum is σ = 5676772147200. Its totient is φ = 677285511552.

The previous prime is 2230141341011. The next prime is 2230141341041. The reversal of 2230141341012 is 2101431410322.

Adding to 2230141341012 its reverse (2101431410322), we get a palindrome (4331572751334).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230141341011) 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, 39001539 + ... + 39058677.

It is an arithmetic number, because the mean of its divisors is an integer number (59133043200).

Almost surely, 22230141341012 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 2230141341012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838386073600).

2230141341012 is an abundant number, since it is smaller than the sum of its proper divisors (3446630806188).

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

2230141341012 is a wasteful number, since it uses less digits than its factorization.

2230141341012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60405 (or 60403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 2230141341012 in words is "two trillion, two hundred thirty billion, one hundred forty-one million, three hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 237 316 474 948 1027 2054 3081 3167 4108 6162 6334 9501 12324 12668 19002 38004 41171 57139 82342 114278 123513 164684 171417 228556 247026 250193 342834 494052 500386 685668 742807 750579 1000772 1485614 1501158 2228421 2971228 3002316 3252509 4456842 4513981 6505018 8913684 9027962 9757527 13010036 13541943 18055924 19515054 27083886 39030108 54167772 58681753 117363506 176045259 180959213 234727012 352090518 361918426 542877639 704181036 723836852 1085755278 2171510556 2352469769 4704939538 7057409307 9409879076 14114818614 14295777827 28229637228 28591555654 42887333481 57183111308 85774666962 171549333924 185845111751 371690223502 557535335253 743380447004 1115070670506 2230141341012