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201300114125 = 53112337712423
BaseRepresentation
bin1011101101111001101…
…0111111101011001101
3201020120221200022210102
42323132122333223031
511244230312123000
6232250452020445
720354255511125
oct2733632775315
9636527608712
10201300114125
1178409737190
123301b001725
1315ca0797086
149a58a31c85
1553826883d5
hex2ede6bfacd

201300114125 has 128 divisors (see below), whose sum is σ = 297965371392. Its totient is φ = 134275680000.

The previous prime is 201300114083. The next prime is 201300114229. The reversal of 201300114125 is 521411003102.

It is not a de Polignac number, because 201300114125 - 212 = 201300110029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201300114097 and 201300114106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83077664 + ... + 83080086.

It is an arithmetic number, because the mean of its divisors is an integer number (2327854464).

Almost surely, 2201300114125 is an apocalyptic number.

201300114125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201300114125 is a deficient number, since it is larger than the sum of its proper divisors (96665257267).

201300114125 is a wasteful number, since it uses less digits than its factorization.

201300114125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 201300114125 its reverse (521411003102), we get a palindrome (722711117227).

The spelling of 201300114125 in words is "two hundred one billion, three hundred million, one hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 5 11 23 25 37 55 71 115 125 185 253 275 355 407 575 781 851 925 1265 1375 1633 1775 2035 2423 2627 2875 3905 4255 4625 6325 8165 8875 9361 10175 12115 13135 17963 19525 21275 26653 28897 31625 40825 46805 50875 55729 60421 60575 65675 89651 89815 97625 106375 133265 144485 172033 204125 234025 278645 302105 302875 328375 448255 449075 613019 664631 666325 722425 860165 986161 1170125 1393225 1510525 1892363 2061973 2241275 2245375 3065095 3323155 3331625 3612125 3956759 4300825 4930805 6365221 6966125 7552625 9461815 10309865 11206375 15325475 16615775 19783795 21504125 22681703 24654025 31826105 43524349 47309075 51549325 70017431 76627375 83078875 98918975 113408515 123270125 146400083 159130525 217621745 236545375 257746625 350087155 494594875 567042575 732000415 795652625 1088108725 1610400913 1750435775 2835212875 3660002075 5440543625 8052004565 8752178875 18300010375 40260022825 201300114125