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1020387192318 = 2331347181117077
BaseRepresentation
bin11101101100100111101…
…00001110110111111110
310121112210112112002202000
432312103310032313332
5113204223110123233
62100432010443130
7133502101012344
oct16662364166776
93545715462660
101020387192318
1136381aa7226a
121459117334a6
13752b6c4c250
143755bd1b994
151b8214b5d13
hexed93d0edfe

1020387192318 has 128 divisors (see below), whose sum is σ = 2495431895040. Its totient is φ = 307097516160.

The previous prime is 1020387192317. The next prime is 1020387192343. The reversal of 1020387192318 is 8132917830201.

1020387192318 is a `hidden beast` number, since 1 + 0 + 20 + 387 + 19 + 231 + 8 = 666.

It is a super-2 number, since 2×10203871923182 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020387192317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59743596 + ... + 59760672.

It is an arithmetic number, because the mean of its divisors is an integer number (19495561680).

Almost surely, 21020387192318 is an apocalyptic number.

1020387192318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020387192318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247715947520).

1020387192318 is an abundant number, since it is smaller than the sum of its proper divisors (1475044702722).

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

1020387192318 is a wasteful number, since it uses less digits than its factorization.

1020387192318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18959 (or 18953 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1020387192318 in words is "one trillion, twenty billion, three hundred eighty-seven million, one hundred ninety-two thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 94 117 141 234 282 351 423 611 702 846 1222 1269 1811 1833 2538 3622 3666 5433 5499 10866 10998 16299 16497 17077 23543 32598 32994 34154 47086 48897 51231 70629 85117 97794 102462 141258 153693 170234 211887 222001 255351 307386 423774 444002 461079 510702 635661 666003 766053 802619 922158 1106521 1271322 1332006 1532106 1605238 1998009 2213042 2298159 2407857 3319563 3996018 4596318 4815714 5994027 6639126 7223571 9958689 10434047 11988054 14447142 19917378 20868094 21670713 29876067 30926447 31302141 43341426 59752134 61852894 62604282 92779341 93906423 185558682 187812846 278338023 281719269 402043811 556676046 563438538 804087622 835014069 1206131433 1453543009 1670028138 2412262866 2907086018 3618394299 4360629027 7236788598 8721258054 10855182897 13081887081 18896059117 21710365794 26163774162 37792118234 39245661243 56688177351 78491322486 113376354702 170064532053 340129064106 510193596159 1020387192318