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1130444304301 = 135361157171317
BaseRepresentation
bin10000011100110011101…
…110110010111110101101
311000001212121101200000201
4100130303232302332231
5122010122220214201
62223152520353501
7144446315021134
oct20346356627655
94001777350021
101130444304301
113a6467380464
12163107615891
13827a6224710
143c9dc92a91b
151e6135e0801
hex10733bb2fad

1130444304301 has 32 divisors (see below), whose sum is σ = 1268742732768. Its totient is φ = 1000595082240.

The previous prime is 1130444304289. The next prime is 1130444304307. The reversal of 1130444304301 is 1034034440311.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 811213654276 + 319230650025 = 900674^2 + 565005^2 .

It is not a de Polignac number, because 1130444304301 - 29 = 1130444303789 is a prime.

It is a super-3 number, since 3×11304443043013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1130444304301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130444304307) 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, 6512895 + ... + 6684211.

It is an arithmetic number, because the mean of its divisors is an integer number (39648210399).

Almost surely, 21130444304301 is an apocalyptic number.

It is an amenable number.

1130444304301 is a deficient number, since it is larger than the sum of its proper divisors (138298428467).

1130444304301 is a wasteful number, since it uses less digits than its factorization.

1130444304301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171601.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1130444304301 its reverse (1034034440311), we get a palindrome (2164478744612).

The spelling of 1130444304301 in words is "one trillion, one hundred thirty billion, four hundred forty-four million, three hundred four thousand, three hundred one".

Divisors: 1 13 53 61 157 689 793 2041 3233 8321 9577 42029 108173 124501 171317 507581 2227121 6598553 9079801 10450337 26896769 118037413 135854381 349657997 553867861 1425528757 1640702909 7200282193 18531873841 21329137817 86957254177 1130444304301