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1102658041331 = 711103271513031
BaseRepresentation
bin10000000010111011100…
…010100111010111110011
310220102011010122020221222
4100002323202213113303
5121031220424310311
62202315404335255
7142443615464120
oct20027342472763
93812133566858
101102658041331
113956a8799870
12159851b4452b
137cc986907b2
143b5244d7747
151da38ee8adb
hex100bb8a75f3

1102658041331 has 32 divisors (see below), whose sum is σ = 1393214324736. Its totient is φ = 847730772000.

The previous prime is 1102658041327. The next prime is 1102658041339. The reversal of 1102658041331 is 1331408562011.

It is a happy number.

It is not a de Polignac number, because 1102658041331 - 22 = 1102658041327 is a prime.

It is a super-2 number, since 2×11026580413312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1102658041291 and 1102658041300.

It is not an unprimeable number, because it can be changed into a prime (1102658041339) 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, 1892786 + ... + 2405816.

It is an arithmetic number, because the mean of its divisors is an integer number (43537947648).

Almost surely, 21102658041331 is an apocalyptic number.

1102658041331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1102658041331 is a deficient number, since it is larger than the sum of its proper divisors (290556283405).

1102658041331 is a wasteful number, since it uses less digits than its factorization.

1102658041331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513423.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 1102658041331 in words is "one trillion, one hundred two billion, six hundred fifty-eight million, forty-one thousand, three hundred thirty-one".

Divisors: 1 7 11 77 103 271 721 1133 1897 2981 7931 20867 27913 195391 307043 513031 2149301 3591217 5643341 39503387 52842193 139031401 369895351 581264123 973219807 1529345411 4068848861 10705417877 14320234303 100241640121 157522577333 1102658041331