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10513110220434 = 232611827954619
BaseRepresentation
bin1001100011111100011000…
…1100110011111010010010
31101020001011201122011112200
42120333012030303322102
52334221322204023214
634205353421504030
72133355446301653
oct230770614637222
941201151564480
1010513110220434
113393648709138
121219617412016
135b34c7459783
14284ba15ad52a
1513370b9ead09
hex98fc6333e92

10513110220434 has 24 divisors (see below), whose sum is σ = 22778466569040. Its totient is φ = 3504360674808.

The previous prime is 10513110220391. The next prime is 10513110220453. The reversal of 10513110220434 is 43402201131501.

10513110220434 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 1 + 1 + 0 + 220 + 434 = 666.

It is a super-2 number, since 2×105131102204342 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10513110220398 and 10513110220407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10535577 + ... + 11490195.

It is an arithmetic number, because the mean of its divisors is an integer number (949102773710).

Almost surely, 210513110220434 is an apocalyptic number.

10513110220434 is an abundant number, since it is smaller than the sum of its proper divisors (12265356348606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10513110220434 is a wasteful number, since it uses less digits than its factorization.

10513110220434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566454 (or 1566451 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10513110220434 its reverse (43402201131501), we get a palindrome (53915311351935).

The spelling of 10513110220434 in words is "ten trillion, five hundred thirteen billion, one hundred ten million, two hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 611827 954619 1223654 1835481 1909238 2863857 3670962 5506443 5727714 8591571 11012886 17183142 584061678913 1168123357826 1752185036739 3504370073478 5256555110217 10513110220434