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1105456353253 = 71731299662877
BaseRepresentation
bin10000000101100010010…
…101010100111111100101
310220200101011011020021021
4100011202111110333211
5121102433311301003
62203501210051141
7142603144651660
oct20054225247745
93820334136237
101105456353253
11396904323a4a
1215a2b3119ab1
1380323349575
143b70bddc6d7
151db4e9ed2bd
hex10162554fe5

1105456353253 has 16 divisors (see below), whose sum is σ = 1380846541824. Its totient is φ = 863029082880.

The previous prime is 1105456353247. The next prime is 1105456353263. The reversal of 1105456353253 is 3523536545011.

It is a de Polignac number, because none of the positive numbers 2k-1105456353253 is a prime.

It is a super-3 number, since 3×11054563532533 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105456353263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 149827750 + ... + 149835127.

It is an arithmetic number, because the mean of its divisors is an integer number (86302908864).

Almost surely, 21105456353253 is an apocalyptic number.

It is an amenable number.

1105456353253 is a deficient number, since it is larger than the sum of its proper divisors (275390188571).

1105456353253 is a wasteful number, since it uses less digits than its factorization.

1105456353253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299662932.

The product of its (nonzero) digits is 810000, while the sum is 43.

The spelling of 1105456353253 in words is "one trillion, one hundred five billion, four hundred fifty-six million, three hundred fifty-three thousand, two hundred fifty-three".

Divisors: 1 7 17 31 119 217 527 3689 299662877 2097640139 5094268909 9289549187 35659882363 65026844309 157922336179 1105456353253