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102111000330012 = 223313771271040929
BaseRepresentation
bin10111001101111010010001…
…111001101111111100011100
3111101112201100011212101102120
4113031322101321233330130
5101340441312041030022
61001101051310022540
730336163530654642
oct2715722171577434
9441481304771376
10102111000330012
112a599039726893
12b5519674a7a50
1344c90451cb65b
141b302ad67b192
15bc121c5ddd5c
hex5cde91e6ff1c

102111000330012 has 96 divisors (see below), whose sum is σ = 252627615313920. Its totient is φ = 32044260648960.

The previous prime is 102111000329963. The next prime is 102111000330041. The reversal of 102111000330012 is 210033000111201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102111000329973 and 102111000330000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97575564 + ... + 98616492.

It is an arithmetic number, because the mean of its divisors is an integer number (2631537659520).

Almost surely, 2102111000330012 is an apocalyptic number.

102111000330012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102111000330012 is an abundant number, since it is smaller than the sum of its proper divisors (150516614983908).

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

102111000330012 is a wasteful number, since it uses less digits than its factorization.

102111000330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048131 (or 1048129 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102111000330012 its reverse (210033000111201), we get a palindrome (312144000441213).

The spelling of 102111000330012 in words is "one hundred two trillion, one hundred eleven billion, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 31 37 62 74 93 111 124 148 186 222 372 444 1147 2294 3441 4588 6882 7127 13764 14254 21381 28508 42762 85524 220937 263699 441874 527398 662811 791097 883748 1040929 1054796 1325622 1582194 2081858 2651244 3122787 3164388 4163716 6245574 8174669 12491148 16349338 24524007 32268799 32698676 38514373 49048014 64537598 77028746 96806397 98096028 115543119 129075196 154057492 193612794 231086238 387225588 462172476 1193945563 2387891126 3581836689 4775782252 7163673378 7418700983 14327346756 14837401966 22256102949 29674803932 44512205898 89024411796 229979730473 274491936371 459959460946 548983872742 689939191419 823475809113 919918921892 1097967745484 1379878382838 1646951618226 2759756765676 3293903236452 8509250027501 17018500055002 25527750082503 34037000110004 51055500165006 102111000330012