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213301312022130 = 235194185910625311
BaseRepresentation
bin110000011111111100010100…
…111011101110011001110010
31000222020101222011212020121020
4300133330110323232121302
5210424212041334202010
62033353134152240310
762633340233113143
oct6037742473563162
91028211864766536
10213301312022130
1161a6763a978a52
121bb0b2819a0096
1392032c582cc47
143a95ba511baca
15199d6cb19c470
hexc1ff14eee672

213301312022130 has 128 divisors (see below), whose sum is σ = 552652227993600. Its totient is φ = 52511132044800.

The previous prime is 213301312022119. The next prime is 213301312022273. The reversal of 213301312022130 is 31220213103312.

It is a self number, because there is not a number n which added to its sum of digits gives 213301312022130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14762175 + ... + 25387485.

It is an arithmetic number, because the mean of its divisors is an integer number (4317595531200).

Almost surely, 2213301312022130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213301312022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276326113996800).

213301312022130 is an abundant number, since it is smaller than the sum of its proper divisors (339350915971470).

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

213301312022130 is a wasteful number, since it uses less digits than its factorization.

213301312022130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10626240.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213301312022130 its reverse (31220213103312), we get a palindrome (244521525125442).

The spelling of 213301312022130 in words is "two hundred thirteen trillion, three hundred one billion, three hundred twelve million, twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 95 114 123 190 205 246 285 410 570 615 779 859 1230 1558 1718 2337 2577 3895 4295 4674 5154 7790 8590 11685 12885 16321 23370 25770 32642 35219 48963 70438 81605 97926 105657 163210 176095 211314 244815 352190 489630 528285 669161 1056570 1338322 2007483 3345805 4014966 6691610 10037415 10625311 20074830 21250622 31875933 53126555 63751866 106253110 159379665 201880909 318759330 403761818 435637751 605642727 871275502 1009404545 1211285454 1306913253 2018809090 2178188755 2613826506 3028213635 4356377510 6056427270 6534566265 8277117269 9127142149 13069132530 16554234538 18254284298 24831351807 27381426447 41385586345 45635710745 49662703614 54762852894 82771172690 91271421490 124156759035 136907132235 173415700831 248313518070 273814264470 346831401662 374212828109 520247102493 748425656218 867078504155 1040494204986 1122638484327 1734157008310 1871064140545 2245276968654 2601235512465 3742128281090 5202471024930 5613192421635 7110043734071 11226384843270 14220087468142 21330131202213 35550218670355 42660262404426 71100437340710 106650656011065 213301312022130