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1085352576110 = 2511101105192951
BaseRepresentation
bin11111100101101000000…
…11100000010001101110
310211202111002100112112122
433302310003200101232
5120240300224413420
62150334252232542
7141262022451545
oct17626403402156
93752432315478
101085352576110
113893282636a0
1215642246b752
137b46b307b4a
143a76202115c
151d374ad3725
hexfcb40e046e

1085352576110 has 64 divisors (see below), whose sum is σ = 2154410224128. Its totient is φ = 390390000000.

The previous prime is 1085352576109. The next prime is 1085352576137. The reversal of 1085352576110 is 116752535801.

It is a super-2 number, since 2×10853525761102 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11630135 + ... + 11723085.

It is an arithmetic number, because the mean of its divisors is an integer number (33662659752).

Almost surely, 21085352576110 is an apocalyptic number.

1085352576110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1085352576110 is a deficient number, since it is larger than the sum of its proper divisors (1069057648018).

1085352576110 is a wasteful number, since it uses less digits than its factorization.

1085352576110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94121.

The product of its (nonzero) digits is 252000, while the sum is 44.

The spelling of 1085352576110 in words is "one trillion, eighty-five billion, three hundred fifty-two million, five hundred seventy-six thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 101 110 202 505 1010 1051 1111 2102 2222 5255 5555 10510 11110 11561 23122 57805 92951 106151 115610 185902 212302 464755 530755 929510 1022461 1061510 1167661 2044922 2335322 5112305 5838305 9388051 10224610 11676610 18776102 46940255 93880510 97691501 103268561 195383002 206537122 488457505 516342805 976915010 1032685610 1074606511 2149213022 5373032555 9866841601 10746065110 19733683202 49334208005 98668416010 108535257611 217070515222 542676288055 1085352576110