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10085570341 = 711247253349
BaseRepresentation
bin10010110010010010…
…11001011100100101
3222000212210001120021
421121021121130211
5131123401222331
64344440435141
7504633635110
oct113111313445
928025701507
1010085570341
114306050300
121b55778ab1
13c4964b102
146b9679577
153e0662211
hex259259725

10085570341 has 24 divisors (see below), whose sum is σ = 12939091200. Its totient is φ = 7691645280.

The previous prime is 10085570333. The next prime is 10085570347. The reversal of 10085570341 is 14307558001.

It is a happy number.

It is not a de Polignac number, because 10085570341 - 23 = 10085570333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10085570297 and 10085570306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085570347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86866 + ... + 166483.

It is an arithmetic number, because the mean of its divisors is an integer number (539128800).

Almost surely, 210085570341 is an apocalyptic number.

10085570341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10085570341 is a deficient number, since it is larger than the sum of its proper divisors (2853520859).

10085570341 is a wasteful number, since it uses less digits than its factorization.

10085570341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253425 (or 253414 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 10085570341 in words is "ten billion, eighty-five million, five hundred seventy thousand, three hundred forty-one".

Divisors: 1 7 11 47 77 121 329 517 847 3619 5687 39809 253349 1773443 2786839 11907403 19507873 30655229 83351821 130981433 214586603 916870031 1440795763 10085570341