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1085118188341 = 112373431136319
BaseRepresentation
bin11111100101001100001…
…01011000101100110101
310211201212202022101222011
433302212011120230311
5120234310224011331
62150255120404221
7141253145262355
oct17624605305465
93751782271864
101085118188341
11389217a236a0
12156377a76671
137b4318a0665
143a73cc4ab65
151d35e2353b1
hexfca6158b35

1085118188341 has 32 divisors (see below), whose sum is σ = 1255068794880. Its totient is φ = 928489161600.

The previous prime is 1085118188321. The next prime is 1085118188351. The reversal of 1085118188341 is 1438818115801.

It is not a de Polignac number, because 1085118188341 - 25 = 1085118188309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085118188321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7891980 + ... + 8028298.

It is an arithmetic number, because the mean of its divisors is an integer number (39220899840).

Almost surely, 21085118188341 is an apocalyptic number.

1085118188341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1085118188341 is a deficient number, since it is larger than the sum of its proper divisors (169950606539).

1085118188341 is a wasteful number, since it uses less digits than its factorization.

1085118188341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136857.

The product of its (nonzero) digits is 245760, while the sum is 49.

The spelling of 1085118188341 in words is "one trillion, eighty-five billion, one hundred eighteen million, one hundred eighty-eight thousand, three hundred forty-one".

Divisors: 1 11 23 73 253 431 803 1679 4741 9913 18469 31463 109043 136319 346093 723649 1499509 3135337 7960139 9951287 34488707 58753489 109464157 228879601 646288379 1351330247 2517675611 4289004697 14864632717 47179051667 98647108031 1085118188341