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101330027104 = 25149163241541
BaseRepresentation
bin101111001011110111…
…1011000001001100000
3100200112212022201102211
41132113233120021200
53130010441331404
6114314514051504
710215024006355
oct1362757301140
9320485281384
10101330027104
1139a79182159
121777b279b94
13972b22bb27
144c9395a62c
152980dabb04
hex1797bd8260

101330027104 has 96 divisors (see below), whose sum is σ = 203277967200. Its totient is φ = 49716633600.

The previous prime is 101330027089. The next prime is 101330027107. The reversal of 101330027104 is 401720033101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330027107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187301074 + ... + 187301614.

It is an arithmetic number, because the mean of its divisors is an integer number (2117478825).

Almost surely, 2101330027104 is an apocalyptic number.

It is an amenable number.

101330027104 is an abundant number, since it is smaller than the sum of its proper divisors (101947940096).

101330027104 is a wasteful number, since it uses less digits than its factorization.

101330027104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The spelling of 101330027104 in words is "one hundred one billion, three hundred thirty million, twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 149 163 241 298 326 482 541 596 652 964 1082 1192 1304 1928 2164 2384 2608 3856 4328 4768 5216 7712 8656 17312 24287 35909 39283 48574 71818 78566 80609 88183 97148 130381 143636 157132 161218 176366 194296 260762 287272 314264 322436 352732 388592 521524 574544 628528 644872 705464 777184 1043048 1149088 1257056 1289744 1410928 2086096 2579488 2821856 4172192 5853167 11706334 13139267 19426769 21252103 23412668 26278534 38853538 42504206 46825336 52557068 77707076 85008412 93650672 105114136 155414152 170016824 187301344 210228272 310828304 340033648 420456544 621656608 680067296 3166563347 6333126694 12666253388 25332506776 50665013552 101330027104