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1000011330120 = 2335113831978027
BaseRepresentation
bin11101000110101010101…
…00011111001001001000
310112121012111202001111010
432203111110133021020
5112341010400030440
62043222053203520
7132151133025315
oct16432524371110
93477174661433
101000011330120
11356114364430
121419859305a0
13733ba73495a
1436587b55d0c
151b02c753580
hexe8d551f248

1000011330120 has 128 divisors (see below), whose sum is σ = 3281311088640. Its totient is φ = 241793898240.

The previous prime is 1000011330041. The next prime is 1000011330151. The reversal of 1000011330120 is 210331100001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000011330096 and 1000011330105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 483454 + ... + 1494573.

It is an arithmetic number, because the mean of its divisors is an integer number (25635242880).

Almost surely, 21000011330120 is an apocalyptic number.

1000011330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000011330120 is an abundant number, since it is smaller than the sum of its proper divisors (2281299758520).

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

1000011330120 is a wasteful number, since it uses less digits than its factorization.

1000011330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978435 (or 1978431 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1000011330120 its reverse (210331100001), we get a palindrome (1210342430121).

The spelling of 1000011330120 in words is "one trillion, eleven million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 383 440 660 766 1149 1320 1532 1915 2298 3064 3830 4213 4596 5745 7660 8426 9192 11490 12639 15320 16852 21065 22980 25278 33704 42130 45960 50556 63195 84260 101112 126390 168520 252780 505560 1978027 3956054 5934081 7912108 9890135 11868162 15824216 19780270 21758297 23736324 29670405 39560540 43516594 47472648 59340810 65274891 79121080 87033188 108791485 118681620 130549782 174066376 217582970 237363240 261099564 326374455 435165940 522199128 652748910 757584341 870331880 1305497820 1515168682 2272753023 2610995640 3030337364 3787921705 4545506046 6060674728 7575843410 8333427751 9091012092 11363765115 15151686820 16666855502 18182024184 22727530230 25000283253 30303373640 33333711004 41667138755 45455060460 50000566506 66667422008 83334277510 90910120920 100001133012 125001416265 166668555020 200002266024 250002832530 333337110040 500005665060 1000011330120