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134311241020 = 225117129329347
BaseRepresentation
bin111110100010110010…
…0101110010100111100
3110211200101021222111011
41331011210232110330
54200032134203040
6141411324005004
712463233466105
oct1750544562474
9424611258434
10134311241020
1151a63215340
1222044690764
13c88612b718
146701cbb3ac
1537615b83ea
hex1f4592e53c

134311241020 has 96 divisors (see below), whose sum is σ = 313104185856. Its totient is φ = 47986579200.

The previous prime is 134311241011. The next prime is 134311241039. The reversal of 134311241020 is 20142113431.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 134311240982 and 134311241000.

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, 4561987 + ... + 4591333.

It is an arithmetic number, because the mean of its divisors is an integer number (3261501936).

Almost surely, 2134311241020 is an apocalyptic number.

134311241020 is a gapful number since it is divisible by the number (10) 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 134311241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156552092928).

134311241020 is an abundant number, since it is smaller than the sum of its proper divisors (178792944836).

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

134311241020 is a wasteful number, since it uses less digits than its factorization.

134311241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29731 (or 29729 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 134311241020 its reverse (20142113431), we get a palindrome (154453354451).

The spelling of 134311241020 in words is "one hundred thirty-four billion, three hundred eleven million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 293 355 586 710 781 1172 1420 1465 1562 2930 3124 3223 3905 5860 6446 7810 12892 15620 16115 20803 29347 32230 41606 58694 64460 83212 104015 117388 146735 208030 228833 293470 322817 416060 457666 586940 645634 915332 1144165 1291268 1614085 2083637 2288330 3228170 4167274 4576660 6456340 8334548 8598671 10418185 17197342 20836370 22920007 34394684 41672740 42993355 45840014 85986710 91680028 94585381 114600035 171973420 189170762 229200070 378341524 458400140 472926905 610505641 945853810 1221011282 1891707620 2442022564 3052528205 6105056410 6715562051 12210112820 13431124102 26862248204 33577810255 67155620510 134311241020