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10420403301 = 33711192511051
BaseRepresentation
bin10011011010001101…
…01011110001100101
3222220012211100001000
421231012223301211
5132320110401201
64442001223513
7516140652360
oct115506536145
928805740030
1010420403301
114468056260
122029931b99
13ca0b23919
1470bd190d7
1540ec51d86
hex26d1abc65

10420403301 has 128 divisors (see below), whose sum is σ = 20359987200. Its totient is φ = 5103000000.

The previous prime is 10420403267. The next prime is 10420403303. The reversal of 10420403301 is 10330402401.

It is not a de Polignac number, because 10420403301 - 27 = 10420403173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420403303) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9914226 + ... + 9915276.

It is an arithmetic number, because the mean of its divisors is an integer number (159062400).

Almost surely, 210420403301 is an apocalyptic number.

10420403301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10420403301 is a deficient number, since it is larger than the sum of its proper divisors (9939583899).

10420403301 is a wasteful number, since it uses less digits than its factorization.

10420403301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10420403301 its reverse (10330402401), we get a palindrome (20750805702).

The spelling of 10420403301 in words is "ten billion, four hundred twenty million, four hundred three thousand, three hundred one".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 133 171 189 209 231 251 297 399 513 627 693 753 1051 1197 1463 1757 1881 2079 2259 2761 3153 3591 4389 4769 5271 5643 6777 7357 8283 9459 11561 13167 14307 15813 19327 19969 22071 24849 28377 33383 34683 39501 42921 47439 52459 57981 59907 66213 74547 80927 100149 104049 128763 139783 157377 173943 179721 198639 219659 242781 263801 300447 312147 367213 419349 472131 521829 539163 658977 728343 791403 901341 1101639 1258047 1416393 1537613 1846607 1976931 2185029 2374209 2901811 3304917 3774141 4612839 5012219 5539821 5930793 7122627 8705433 9914751 13838517 15036657 16619463 20312677 26116299 35085533 41515551 45109971 49858389 55134409 60938031 78348897 105256599 135329913 165403227 182814093 315769797 385940863 496209681 548442279 947309391 1157822589 1488629043 3473467767 10420403301