Search a number
-
+
3001033342112 = 251356361320903
BaseRepresentation
bin101011101010111011100…
…001101011110010100000
3101121220012011200111100012
4223222323201223302200
5343132104013421422
610214353343344052
7426550255343231
oct53527341536240
911556164614305
103001033342112
11a578050a2a23
12405753bb2028
13189cc4942340
14a5372243088
15530e530e4e2
hex2babb86bca0

3001033342112 has 96 divisors (see below), whose sum is σ = 6384772937088. Its totient is φ = 1380310557696.

The previous prime is 3001033342079. The next prime is 3001033342129. The reversal of 3001033342112 is 2112433301003.

It is a super-2 number, since 2×30010333421122 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143559053 + ... + 143579955.

It is an arithmetic number, because the mean of its divisors is an integer number (66508051428).

Almost surely, 23001033342112 is an apocalyptic number.

3001033342112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001033342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192386468544).

3001033342112 is an abundant number, since it is smaller than the sum of its proper divisors (3383739594976).

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

3001033342112 is a wasteful number, since it uses less digits than its factorization.

3001033342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22102 (or 22094 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 3001033342112 its reverse (2112433301003), we get a palindrome (5113466643115).

The spelling of 3001033342112 in words is "three trillion, one billion, thirty-three million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 563 613 1126 1226 2252 2452 4504 4904 7319 7969 9008 9808 14638 15938 18016 19616 20903 29276 31876 41806 58552 63752 83612 117104 127504 167224 234208 255008 271739 334448 345119 543478 668896 690238 1086956 1380476 2173912 2760952 4347824 4486547 5521904 8695648 8973094 11043808 11768389 12813539 17946188 23536778 25627078 35892376 47073556 51254156 71784752 94147112 102508312 143569504 152989057 166576007 188294224 205016624 305978114 333152014 376588448 410033248 611956228 666304028 1223912456 1332608056 2447824912 2665216112 4895649824 5330432224 7214022457 14428044914 28856089828 57712179656 93782291941 115424359312 187564583882 230848718624 375129167764 750258335528 1500516671056 3001033342112