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102001123110 = 235311012634129
BaseRepresentation
bin101111011111110111…
…1011001111100100110
3100202021122002221002110
41132333233121330212
53132344241414420
6114505250021450
710240453145445
oct1367757317446
9322248087073
10102001123110
113a292a7a557
1217927b77886
13980728b063
144d18b2cd5c
1529bec6eee0
hex17bfbd9f26

102001123110 has 128 divisors (see below), whose sum is σ = 256233922560. Its totient is φ = 25956864000.

The previous prime is 102001123109. The next prime is 102001123153. The reversal of 102001123110 is 11321100201.

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, 24701526 + ... + 24705654.

It is an arithmetic number, because the mean of its divisors is an integer number (2001827520).

Almost surely, 2102001123110 is an apocalyptic number.

102001123110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001123110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128116961280).

102001123110 is an abundant number, since it is smaller than the sum of its proper divisors (154232799450).

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

102001123110 is a wasteful number, since it uses less digits than its factorization.

102001123110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102001123110 its reverse (11321100201), we get a palindrome (113322223311).

The spelling of 102001123110 in words is "one hundred two billion, one million, one hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 101 155 186 202 263 303 310 465 505 526 606 789 930 1010 1315 1515 1578 2630 3030 3131 3945 4129 6262 7890 8153 8258 9393 12387 15655 16306 18786 20645 24459 24774 26563 31310 40765 41290 46965 48918 53126 61935 79689 81530 93930 122295 123870 127999 132815 159378 244590 255998 265630 383997 398445 417029 639995 767994 796890 823453 834058 1085927 1251087 1279990 1646906 1919985 2085145 2171854 2470359 2502174 3257781 3839970 4117265 4170290 4940718 5429635 6255435 6515562 8234530 10859270 12351795 12510870 12927899 16288905 24703590 25855798 32577810 33663737 38783697 64639495 67327474 77567394 100991211 109678627 129278990 168318685 193918485 201982422 219357254 329035881 336637370 387836970 504956055 548393135 658071762 1009912110 1096786270 1645179405 3290358810 3400037437 6800074874 10200112311 17000187185 20400224622 34000374370 51000561555 102001123110