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101685853620 = 223251343455493
BaseRepresentation
bin101111010110011110…
…0101111110110110100
3100201110122212120122200
41132230330233312310
53131223034303440
6114414104424500
710226604331431
oct1365474576664
9321418776580
10101685853620
113a14101695a
121785a478130
139786b75070
144cc8d02b88
1529a2246c30
hex17acf2fdb4

101685853620 has 72 divisors (see below), whose sum is σ = 332173796136. Its totient is φ = 25030363392.

The previous prime is 101685853597. The next prime is 101685853631. The reversal of 101685853620 is 26358586101.

101685853620 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 8 + 585 + 3 + 62 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12894965136 + 88790888484 = 113556^2 + 297978^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21725407 + ... + 21730086.

Almost surely, 2101685853620 is an apocalyptic number.

101685853620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101685853620 is an abundant number, since it is smaller than the sum of its proper divisors (230487942516).

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

101685853620 is a wasteful number, since it uses less digits than its factorization.

101685853620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43455521 (or 43455516 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 101685853620 in words is "one hundred one billion, six hundred eighty-five million, eight hundred fifty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 43455493 86910986 130366479 173821972 217277465 260732958 391099437 434554930 521465916 564921409 651832395 782198874 869109860 1129842818 1303664790 1564397748 1694764227 1955497185 2259685636 2607329580 2824607045 3389528454 3910994370 5084292681 5649214090 6779056908 7821988740 8473821135 10168585362 11298428180 16947642270 20337170724 25421463405 33895284540 50842926810 101685853620