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1020517372244 = 229711345175153
BaseRepresentation
bin11101101100110111001…
…00110101000101010100
310121120010121110221000202
432312123210311011110
5113210004421402434
62100452541000032
7133505241352556
oct16663344650524
93546117427022
101020517372244
113638874a7387
12145949253018
1375307bcb8a6
14375713274d6
151b82cb2ca7e
hexed9b935154

1020517372244 has 48 divisors (see below), whose sum is σ = 1821040513488. Its totient is φ = 500321353728.

The previous prime is 1020517372243. The next prime is 1020517372253. The reversal of 1020517372244 is 4422737150201.

It can be written as a sum of positive squares in 8 ways, for example, as 370075122244 + 650442250000 = 608338^2 + 806500^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020517372198 and 1020517372207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020517372243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198040772 + ... + 198045924.

It is an arithmetic number, because the mean of its divisors is an integer number (37938344031).

Almost surely, 21020517372244 is an apocalyptic number.

It is an amenable number.

1020517372244 is a deficient number, since it is larger than the sum of its proper divisors (800523141244).

1020517372244 is a wasteful number, since it uses less digits than its factorization.

1020517372244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 1020517372244 in words is "one trillion, twenty billion, five hundred seventeen million, three hundred seventy-two thousand, two hundred forty-four".

Divisors: 1 2 4 97 113 194 226 388 452 4517 5153 9034 10306 10961 18068 20612 21922 43844 438149 499841 510421 582289 876298 999682 1020842 1164578 1752596 1999364 2041684 2329156 23276101 46552202 49510837 56482033 93104404 99021674 112964066 198043348 225928132 2257781797 2630199413 4515563594 5260398826 9031127188 10520797652 255129343061 510258686122 1020517372244