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10054215131301 = 32111392295036343
BaseRepresentation
bin1001001001001110110111…
…1010111110000010100101
31022121011200112120021120100
42102103231322332002211
52304212013033200201
633214502003254313
72055251552351505
oct222235572760245
938534615507510
1010054215131301
113226a72368660
1211646a837a399
1357c154271283
1426a8ab5b3a05
151267ee8a5886
hex924edebe0a5

10054215131301 has 96 divisors (see below), whose sum is σ = 16061059123200. Its totient is φ = 6010286002560.

The previous prime is 10054215131221. The next prime is 10054215131321. The reversal of 10054215131301 is 10313151245001.

10054215131301 is a `hidden beast` number, since 10 + 0 + 5 + 4 + 2 + 1 + 513 + 130 + 1 = 666.

It is not a de Polignac number, because 10054215131301 - 27 = 10054215131173 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054215131321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1585085136 + ... + 1585091478.

It is an arithmetic number, because the mean of its divisors is an integer number (167302699200).

Almost surely, 210054215131301 is an apocalyptic number.

10054215131301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10054215131301 is a deficient number, since it is larger than the sum of its proper divisors (6006843991899).

10054215131301 is a wasteful number, since it uses less digits than its factorization.

10054215131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10054215131301 its reverse (10313151245001), we get a palindrome (20367366376302).

The spelling of 10054215131301 in words is "ten trillion, fifty-four billion, two hundred fifteen million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 9 11 33 99 139 229 417 503 687 1251 1509 1529 2061 2519 4527 4587 5533 6343 7557 13761 16599 19029 22671 31831 49797 57087 69773 69917 95493 115187 209319 209751 286479 345561 350141 627957 629253 769087 881677 1036683 1050423 1267057 1452547 2307261 2645031 3151269 3190529 3801171 4357641 6921783 7935093 9571587 9698447 11403513 13072923 15978017 16010993 28714761 29095341 35095819 47934051 48032979 87286023 105287457 143802153 144098937 176120923 201904033 315862371 443483531 528362769 605712099 730631141 1330450593 1585088307 1817136297 2191893423 2220944363 3991351779 4878318841 6575680269 6662833089 8036942551 14634956523 19988499267 24110827653 43904869569 72332482959 101557728599 304673185797 914019557391 1117135014589 3351405043767 10054215131301