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1012052276140 = 225379743932117
BaseRepresentation
bin11101011101000110000…
…01000011001110101100
310120202021122220111012211
432232203001003032230
5113040140340314030
62052532544340204
7133055412260233
oct16564301031654
93522248814184
101012052276140
11360233142394
12144186314664
1374589204799
1436daad91b1a
151b4d48b112a
hexeba30433ac

1012052276140 has 96 divisors (see below), whose sum is σ = 2210345343360. Its totient is φ = 388919107584.

The previous prime is 1012052276107. The next prime is 1012052276159. The reversal of 1012052276140 is 416722502101.

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, 31495362 + ... + 31527478.

It is an arithmetic number, because the mean of its divisors is an integer number (23024430660).

Almost surely, 21012052276140 is an apocalyptic number.

1012052276140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012052276140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105172671680).

1012052276140 is an abundant number, since it is smaller than the sum of its proper divisors (1198293067220).

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

1012052276140 is a wasteful number, since it uses less digits than its factorization.

1012052276140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32699 (or 32697 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 1012052276140 its reverse (416722502101), we get a palindrome (1428774778241).

The spelling of 1012052276140 in words is "one trillion, twelve billion, fifty-two million, two hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 97 148 185 194 370 388 439 485 740 878 970 1756 1940 2195 3589 4390 7178 8780 14356 16243 17945 32117 32486 35890 42583 64234 64972 71780 81215 85166 128468 160585 162430 170332 212915 321170 324860 425830 642340 851660 1188329 1575571 2376658 3115349 3151142 4753316 5941645 6230698 6302284 7877855 11883290 12461396 14099363 15576745 15755710 23766580 28198726 31153490 31511420 56397452 62306980 70496815 115267913 140993630 230535826 281987260 461071652 521676431 576339565 1043352862 1152679130 1367638211 2086705724 2305358260 2608382155 2735276422 5216764310 5470552844 6838191055 10433528620 13676382110 27352764220 50602613807 101205227614 202410455228 253013069035 506026138070 1012052276140