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133131221310 = 23523353546583
BaseRepresentation
bin111101111111100111…
…1010011100100111110
3110201122010212202202110
41323333033103210332
54140123043040220
6141054252034450
712422054465313
oct1737717234476
9421563782673
10133131221310
115150811603a
1221975462a26
13c7288116c9
14662d2acd0a
1536e2bc7be0
hex1eff3d393e

133131221310 has 64 divisors (see below), whose sum is σ = 334351991808. Its totient is φ = 33861848064.

The previous prime is 133131221303. The next prime is 133131221351. The reversal of 133131221310 is 13122131331.

It is a happy number.

It is a super-3 number, since 3×1331312213103 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29722 + ... + 516861.

It is an arithmetic number, because the mean of its divisors is an integer number (5224249872).

Almost surely, 2133131221310 is an apocalyptic number.

133131221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133131221310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167175995904).

133131221310 is an abundant number, since it is smaller than the sum of its proper divisors (201220770498).

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

133131221310 is a wasteful number, since it uses less digits than its factorization.

133131221310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546969.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133131221310 its reverse (13122131331), we get a palindrome (146253352641).

The spelling of 133131221310 in words is "one hundred thirty-three billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 353 690 706 1059 1765 2118 3530 5295 8119 10590 16238 24357 40595 48714 81190 121785 243570 546583 1093166 1639749 2732915 3279498 5465830 8198745 12571409 16397490 25142818 37714227 62857045 75428454 125714090 188571135 192943799 377142270 385887598 578831397 964718995 1157662794 1929437990 2894156985 4437707377 5788313970 8875414754 13313122131 22188536885 26626244262 44377073770 66565610655 133131221310