Search a number
-
+
10420225365 = 35112151193197
BaseRepresentation
bin10011011010001100…
…00000010101010101
3222220012111021221210
421231012000111111
5132320034202430
64441553332033
7516136311534
oct115506002525
928805437853
1010420225365
114467a44600
122029867019
13ca0a90934
1470bcb031b
1540ec192b0
hex26d180555

10420225365 has 96 divisors (see below), whose sum is σ = 18636887808. Its totient is φ = 4967424000.

The previous prime is 10420225357. The next prime is 10420225397. The reversal of 10420225365 is 56352202401.

It is not a de Polignac number, because 10420225365 - 23 = 10420225357 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52894447 + ... + 52894643.

It is an arithmetic number, because the mean of its divisors is an integer number (194134248).

Almost surely, 210420225365 is an apocalyptic number.

10420225365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10420225365 is a deficient number, since it is larger than the sum of its proper divisors (8216662443).

10420225365 is a wasteful number, since it uses less digits than its factorization.

10420225365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10420225365 its reverse (56352202401), we get a palindrome (66772427766).

The spelling of 10420225365 in words is "ten billion, four hundred twenty million, two hundred twenty-five thousand, three hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 121 151 165 193 197 363 453 579 591 605 755 965 985 1661 1815 2123 2167 2265 2895 2955 4983 6369 6501 8305 10615 10835 18271 23353 23837 24915 29143 29747 31845 32505 38021 54813 70059 71511 87429 89241 91355 114063 116765 119185 145715 148735 190105 274065 320573 327217 350295 357555 418231 437145 446205 570315 961719 981651 1254693 1602865 1636085 2091155 3526303 3599387 4600541 4808595 4908255 5741171 6273465 10578909 10798161 13801623 17223513 17631515 17996935 23002705 28705855 52894545 53990805 63152881 69008115 86117565 189458643 315764405 694681691 947293215 2084045073 3473408455 10420225365