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1040203134220 = 22517191271267891
BaseRepresentation
bin11110010001100001111…
…00000011010100001100
310200102221112201020202011
433020300330003110030
5114020314000243340
62113510203111004
7135103126516615
oct17106074032414
93612845636664
101040203134220
11371169607758
12149721b12464
1377124461b63
14384bb9b0c0c
151c0d0ec60ea
hexf230f0350c

1040203134220 has 96 divisors (see below), whose sum is σ = 2453827461120. Its totient is φ = 368073538560.

The previous prime is 1040203134193. The next prime is 1040203134253. The reversal of 1040203134220 is 224313020401.

It is a super-2 number, since 2×10402031342202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1040203134191 and 1040203134200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186475 + ... + 1454365.

It is an arithmetic number, because the mean of its divisors is an integer number (25560702720).

Almost surely, 21040203134220 is an apocalyptic number.

1040203134220 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 1040203134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226913730560).

1040203134220 is an abundant number, since it is smaller than the sum of its proper divisors (1413624326900).

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

1040203134220 is a wasteful number, since it uses less digits than its factorization.

1040203134220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268063 (or 1268061 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1040203134220 its reverse (224313020401), we get a palindrome (1264516154621).

The spelling of 1040203134220 in words is "one trillion, forty billion, two hundred three million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 127 170 190 254 323 340 380 508 635 646 1270 1292 1615 2159 2413 2540 3230 4318 4826 6460 8636 9652 10795 12065 21590 24130 41021 43180 48260 82042 164084 205105 410210 820420 1267891 2535782 5071564 6339455 12678910 21554147 24089929 25357820 43108294 48179858 86216588 96359716 107770735 120449645 161022157 215541470 240899290 322044314 409528793 431082940 481798580 644088628 805110785 819057586 1610221570 1638115172 2047643965 2737376669 3059420983 3220443140 4095287930 5474753338 6118841966 8190575860 10949506676 12237683932 13686883345 15297104915 27373766690 30594209830 52010156711 54747533380 61188419660 104020313422 208040626844 260050783555 520101567110 1040203134220