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353020020353 = 711135314274663
BaseRepresentation
bin1010010001100011010…
…00100000011010000001
31020202012120110010110122
411020301220200122001
521240441111122403
6430101500110025
734335110443220
oct5106150403201
91222176403418
10353020020353
11126795664340
1258501835315
132739c472610
141312c9aacb7
1592b224e838
hex5231a20681

353020020353 has 64 divisors (see below), whose sum is σ = 483370094592. Its totient is φ = 248901569280.

The previous prime is 353020020343. The next prime is 353020020371.

It is a happy number.

353020020353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 353020020353 - 218 = 353019758209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (353020020343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75704300 + ... + 75708962.

It is an arithmetic number, because the mean of its divisors is an integer number (7552657728).

Almost surely, 2353020020353 is an apocalyptic number.

It is an amenable number.

353020020353 is a deficient number, since it is larger than the sum of its proper divisors (130350074239).

353020020353 is a wasteful number, since it uses less digits than its factorization.

353020020353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174.

The product of its (nonzero) digits is 8100, while the sum is 26.

It can be divided in two parts, 3530200 and 20353, that added together give a palindrome (3550553).

The spelling of 353020020353 in words is "three hundred fifty-three billion, twenty million, twenty thousand, three hundred fifty-three".

Divisors: 1 7 11 13 53 77 91 143 371 583 689 1001 1427 4081 4663 4823 7579 9989 15697 18551 32641 51293 53053 60619 75631 109879 129857 204061 247139 359051 424333 529417 666809 831941 983203 1428427 1729973 2718529 3212807 4667663 5823587 6654101 6882421 10815233 19029703 22489649 35340877 46578707 73195111 75706631 86503313 247386139 352667353 512365777 605523191 951536443 2468671471 3879340883 4584675589 6660755101 27155386181 32092729123 50431431479 353020020353