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205687131342 = 237211232765281
BaseRepresentation
bin1011111110001111101…
…0001000110011001110
3201122220200121220001120
42333203322020303032
511332221401200332
6234254045021410
720601055524600
oct2774372106316
9648820556046
10205687131342
117a260029150
1233a44254866
131651c632954
149d5352b170
15553c8aa32c
hex2fe3e88cce

205687131342 has 96 divisors (see below), whose sum is σ = 544738431744. Its totient is φ = 51102374400.

The previous prime is 205687131317. The next prime is 205687131359. The reversal of 205687131342 is 243131786502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 205687131294 and 205687131303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1308259 + ... + 1457022.

It is an arithmetic number, because the mean of its divisors is an integer number (5674358664).

Almost surely, 2205687131342 is an apocalyptic number.

205687131342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

205687131342 is an abundant number, since it is smaller than the sum of its proper divisors (339051300402).

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

205687131342 is a wasteful number, since it uses less digits than its factorization.

205687131342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765334 (or 2765327 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 205687131342 in words is "two hundred five billion, six hundred eighty-seven million, one hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 49 66 69 77 98 138 147 154 161 231 253 294 322 462 483 506 539 759 966 1078 1127 1518 1617 1771 2254 3234 3381 3542 5313 6762 10626 12397 24794 37191 74382 2765281 5530562 8295843 16591686 19356967 30418091 38713934 58070901 60836182 63601463 91254273 116141802 127202926 135498769 182508546 190804389 212926637 270997538 381608778 406496307 425853274 445210241 638779911 699616093 812992614 890420482 1277559822 1335630723 1399232186 1490486459 2098848279 2671261446 2980972918 3116471687 4197696558 4471459377 4897312651 6232943374 8942918754 9349415061 9794625302 14691937953 18698830122 29383875906 34281188557 68562377114 102843565671 205687131342