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1020242104131 = 319113617256723
BaseRepresentation
bin11101101100010110010…
…10110000111101000011
310121112102102111212011110
432312023022300331003
5113203423434313011
62100405345014403
7133465356540615
oct16661312607503
93545372455143
101020242104131
11363756085378
12145891024403
1375292b7cc53
1437546950db5
151b8138a6ba6
hexed8b2b0f43

1020242104131 has 32 divisors (see below), whose sum is σ = 1446937539840. Its totient is φ = 637623512064.

The previous prime is 1020242104129. The next prime is 1020242104163. The reversal of 1020242104131 is 1314012420201.

It is not a de Polignac number, because 1020242104131 - 21 = 1020242104129 is a prime.

It is a super-2 number, since 2×10202421041312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020242104098 and 1020242104107.

It is not an unprimeable number, because it can be changed into a prime (1020242104111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3845736 + ... + 4102458.

It is an arithmetic number, because the mean of its divisors is an integer number (45216798120).

Almost surely, 21020242104131 is an apocalyptic number.

1020242104131 is a deficient number, since it is larger than the sum of its proper divisors (426695435709).

1020242104131 is a wasteful number, since it uses less digits than its factorization.

1020242104131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257475.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1020242104131 its reverse (1314012420201), we get a palindrome (2334254524332).

The spelling of 1020242104131 in words is "one trillion, twenty billion, two hundred forty-two million, one hundred four thousand, one hundred thirty-one".

Divisors: 1 3 19 57 113 339 617 1851 2147 6441 11723 35169 69721 209163 256723 770169 1324699 3974097 4877737 14633211 29009699 87029097 158398091 475194273 551184281 1653552843 3009563729 9028691187 17898984283 53696952849 340080701377 1020242104131