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930111010101012 = 22319475992241907
BaseRepresentation
bin1101001101111011100101100…
…0010110111101011100010100
311111222020202002111121221112010
43103132321120112331130110
51433402414322041213022
613054103033235424220
7366625205620641015
oct32336713026753424
94458222074557463
10930111010101012
1124a3a8956292453
12883998b3455070
1330bcb126bb358c
141259788245100c
15727e4c642750c
hex34dee585bd714

930111010101012 has 144 divisors (see below), whose sum is σ = 2337000344663040. Its totient is φ = 286988817495744.

The previous prime is 930111010100981. The next prime is 930111010101029. The reversal of 930111010101012 is 210101010111039.

It is a super-2 number, since 2×9301110101010122 (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 930111010101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3844790563 + ... + 3845032469.

It is an arithmetic number, because the mean of its divisors is an integer number (16229169060160).

Almost surely, 2930111010101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930111010101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168500172331520).

930111010101012 is an abundant number, since it is smaller than the sum of its proper divisors (1406889334562028).

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

930111010101012 is a wasteful number, since it uses less digits than its factorization.

930111010101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243178 (or 242577 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 21.

The spelling of 930111010101012 in words is "nine hundred thirty trillion, one hundred eleven billion, ten million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 599 893 1198 1786 1797 2396 2679 3572 3594 5358 7188 10716 11381 22762 28153 34143 45524 56306 68286 84459 112612 136572 168918 241907 337836 358801 483814 534907 717602 725721 967628 1069814 1076403 1435204 1451442 1604721 2139628 2152806 2902884 3209442 4305612 4596233 6418884 6817219 9192466 11369629 13634438 13788699 16863647 18384932 20451657 22739258 27268876 27577398 33727294 34108887 40903314 45478516 50590941 55154796 67454588 68217774 81806628 101181882 136435548 144902293 202363764 216022951 289804586 320409293 432045902 434706879 579609172 640818586 648068853 864091804 869413758 961227879 1281637172 1296137706 1738827516 1922455758 2592275412 2753143567 3844911516 5506287134 6810407771 8259430701 11012574268 13620815542 16518861402 20431223313 27241631084 33037722804 40862446626 81724893252 86796473507 129397747649 173592947014 258795495298 260389420521 347185894028 388193242947 517590990596 520778841042 776386485894 1041557682084 1552772971788 1649132996633 3298265993266 4079434254829 4947398989899 6596531986532 8158868509658 9894797979798 12238302764487 16317737019316 19789595959596 24476605528974 48953211057948 77509250841751 155018501683502 232527752525253 310037003367004 465055505050506 930111010101012