Search a number
-
+
51350200114230 = 2345718310757731
BaseRepresentation
bin10111010110011111001100…
…11011111101110000110110
320201211000211201212202010000
423223033212123331300312
523212310202212123410
6301113542315412130
713546633554136623
oct1353174633756066
9221730751782100
1051350200114230
11153a85522a4096
12591401a154046
1322863c2b84404
14c97511cd534a
155e0b0aca7dc0
hex2eb3e66fdc36

51350200114230 has 160 divisors (see below), whose sum is σ = 141706698110208. Its totient is φ = 13337863963200.

The previous prime is 51350200114193. The next prime is 51350200114237. The reversal of 51350200114230 is 3241100205315.

51350200114230 is a `hidden beast` number, since 5 + 1 + 35 + 0 + 200 + 1 + 1 + 423 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51350200114194 and 51350200114203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51350200114237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 605536 + ... + 10152195.

Almost surely, 251350200114230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51350200114230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70853349055104).

51350200114230 is an abundant number, since it is smaller than the sum of its proper divisors (90356497995978).

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

51350200114230 is a wasteful number, since it uses less digits than its factorization.

51350200114230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10757904 (or 10757895 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 51350200114230 its reverse (3241100205315), we get a palindrome (54591300319545).

The spelling of 51350200114230 in words is "fifty-one trillion, three hundred fifty billion, two hundred million, one hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 81 83 90 135 142 162 166 213 249 270 355 405 415 426 498 639 710 747 810 830 1065 1245 1278 1494 1917 2130 2241 2490 3195 3735 3834 4482 5751 5893 6390 6723 7470 9585 11205 11502 11786 13446 17679 19170 22410 28755 29465 33615 35358 53037 57510 58930 67230 88395 106074 159111 176790 265185 318222 477333 530370 795555 954666 1591110 2386665 4773330 10757731 21515462 32273193 53788655 64546386 96819579 107577310 161365965 193639158 290458737 322731930 484097895 580917474 763798901 871376211 892891673 968195790 1452293685 1527597802 1742752422 1785783346 2291396703 2678675019 2904587370 3818994505 4356881055 4464458365 4582793406 5357350038 6874190109 7637989010 8036025057 8713762110 8928916730 11456983515 13393375095 13748380218 16072050114 20622570327 22913967030 24108075171 26786750190 34370950545 40180125285 41245140654 48216150342 61867710981 63395308783 68741901090 72324225513 80360250570 103112851635 120540375855 123735421962 126790617566 144648451026 190185926349 206225703270 241080751710 309338554905 316976543915 361621127565 380371852698 570557779047 618677109810 633953087830 723242255130 950929631745 1141115558094 1711673337141 1901859263490 2852788895235 3423346674282 5135020011423 5705577790470 8558366685705 10270040022846 17116733371410 25675100057115 51350200114230