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3000133331112 = 2333143601115601
BaseRepresentation
bin101011101010000101111…
…000011010100010101000
3101121210212110011012100110
4223222011320122202220
5343123233113043422
610214124153134320
7426516046360401
oct53520570324250
911553773135313
103000133331112
11a57393063385
124055426ba3a0
13189bb0343958
14a52c88c29a8
15530912ce60c
hex2ba85e1a8a8

3000133331112 has 128 divisors (see below), whose sum is σ = 7924158443520. Its totient is φ = 945060480000.

The previous prime is 3000133331033. The next prime is 3000133331113. The reversal of 3000133331112 is 2111333310003.

It is not an unprimeable number, because it can be changed into a prime (3000133331113) 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, 192296112 + ... + 192311712.

It is an arithmetic number, because the mean of its divisors is an integer number (61907487840).

Almost surely, 23000133331112 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 3000133331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962079221760).

3000133331112 is an abundant number, since it is smaller than the sum of its proper divisors (4924025112408).

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

3000133331112 is a wasteful number, since it uses less digits than its factorization.

3000133331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21695 (or 21691 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 3000133331112 its reverse (2111333310003), we get a palindrome (5111466641115).

The spelling of 3000133331112 in words is "three trillion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 43 62 86 93 124 129 172 186 248 258 344 372 516 744 1032 1333 2666 3999 5332 6011 7998 10664 12022 15601 15996 18033 24044 31202 31992 36066 46803 48088 62404 72132 93606 124808 144264 186341 187212 258473 372682 374424 483631 516946 559023 670843 745364 775419 967262 1033892 1118046 1341686 1450893 1490728 1550838 1934524 2012529 2067784 2236092 2683372 2901786 3101676 3869048 4025058 4472184 5366744 5803572 6203352 8012663 8050116 11607144 16025326 16100232 20796133 24037989 32050652 41592266 48075978 62388399 64101304 83184532 93777611 96151956 124776798 166369064 187555222 192303912 249553596 281332833 375110444 499107192 562665666 750220888 1125331332 2250662664 2907105941 4032437273 5814211882 8064874546 8721317823 11628423764 12097311819 16129749092 17442635646 23256847528 24194623638 32259498184 34885271292 48389247276 69770542584 96778494552 125005555463 250011110926 375016666389 500022221852 750033332778 1000044443704 1500066665556 3000133331112