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103152654250542 = 233131936372126407
BaseRepresentation
bin10111011101000100011001…
…010100000111001000101110
3111112020022000211111012212000
4113131010121110013020232
5102010023113442004132
61003215401500353130
730504350635131351
oct2735043124071056
9445208024435760
10103152654250542
112a95a88215a796
12b69b8132457a6
13457333b0b1240
141b68887bc0298
15bdd385b3c87c
hex5dd11950722e

103152654250542 has 128 divisors (see below), whose sum is σ = 259925309414400. Its totient is φ = 30060508295808.

The previous prime is 103152654250531. The next prime is 103152654250573. The reversal of 103152654250542 is 245052456251301.

103152654250542 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 5 + 2 + 6 + 54 + 2 + 50 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47447103 + ... + 49573509.

It is an arithmetic number, because the mean of its divisors is an integer number (2030666479800).

Almost surely, 2103152654250542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103152654250542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129962654707200).

103152654250542 is an abundant number, since it is smaller than the sum of its proper divisors (156772655163858).

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

103152654250542 is a wasteful number, since it uses less digits than its factorization.

103152654250542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130087 (or 2130081 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 103152654250542 in words is "one hundred three trillion, one hundred fifty-two billion, six hundred fifty-four million, two hundred fifty thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 3637 4446 6669 7274 10911 13338 21822 32733 47281 65466 69103 94562 98199 138206 141843 196398 207309 283686 414618 425529 621927 851058 898339 1243854 1276587 1796678 1865781 2126407 2553174 2695017 3731562 4252814 5390034 6379221 8085051 12758442 16170102 19137663 24255153 27643291 38275326 40401733 48510306 55286582 57412989 80803466 82929873 114825978 121205199 165859746 242410398 248789619 363615597 497579238 525222529 727231194 746368857 1050445058 1090846791 1492737714 1575667587 2181693582 3151335174 4727002761 7733742259 9454005522 14181008283 15467484518 23201226777 28362016566 46402453554 69603680331 100538649367 139207360662 146941102921 201077298734 208811040993 293882205842 301615948101 417622081986 440823308763 603231896202 881646617526 904847844303 1322469926289 1809695688606 1910234337973 2644939852578 2714543532909 3820468675946 3967409778867 5429087065818 5730703013919 7934819557734 11461406027838 17192109041757 34384218083514 51576327125271 103152654250542