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214145320015220 = 2251171101135739481
BaseRepresentation
bin110000101100001110010111…
…101110101101010101110100
31001002020002111112210122222212
4300230032113232231111310
5211032024103410441340
62035241000224512552
763051326442513056
oct6054162756552564
91032202445718885
10214145320015220
116226257a434270
122002696a47b758
139264a8101b7c9
143ac49900858d6
1519b5627c79a65
hexc2c397bad574

214145320015220 has 96 divisors (see below), whose sum is σ = 502422860927232. Its totient is φ = 76014108800000.

The previous prime is 214145320015163. The next prime is 214145320015301. The reversal of 214145320015220 is 22510023541412.

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, 66292121 + ... + 69447360.

It is an arithmetic number, because the mean of its divisors is an integer number (5233571467992).

Almost surely, 2214145320015220 is an apocalyptic number.

214145320015220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214145320015220 is an abundant number, since it is smaller than the sum of its proper divisors (288277540912012).

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

214145320015220 is a wasteful number, since it uses less digits than its factorization.

214145320015220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135739673 (or 135739671 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 214145320015220 its reverse (22510023541412), we get a palindrome (236655343556632).

The spelling of 214145320015220 in words is "two hundred fourteen trillion, one hundred forty-five billion, three hundred twenty million, fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 101 110 142 202 220 284 355 404 505 710 781 1010 1111 1420 1562 2020 2222 3124 3905 4444 5555 7171 7810 11110 14342 15620 22220 28684 35855 71710 78881 143420 157762 315524 394405 788810 1577620 135739481 271478962 542957924 678697405 1357394810 1493134291 2714789620 2986268582 5972537164 7465671455 9637503151 13709687581 14931342910 19275006302 27419375162 29862685820 38550012604 48187515755 54838750324 68548437905 96375031510 106012534661 137096875810 150806563391 192750063020 212025069322 274193751620 301613126782 424050138644 530062673305 603226253564 754032816955 973387818251 1060125346610 1508065633910 1946775636502 2120250693220 3016131267820 3893551273004 4866939091255 9733878182510 10707266000761 19467756365020 21414532001522 42829064003044 53536330003805 107072660007610 214145320015220