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11000434341420 = 22325411490573759
BaseRepresentation
bin1010000000010011110011…
…1110110011011000101100
31102221122001011221111201200
42200010330332303120230
52420212342142411140
635221310233005500
72213520006054666
oct240047476633054
942848034844650
1011000434341420
113561292450067
121297b5b253890
1361a44b3ca704
142a05d1119536
1514122e8a3030
hexa013cfb362c

11000434341420 has 72 divisors (see below), whose sum is σ = 34181837464320. Its totient is φ = 2861901615360.

The previous prime is 11000434341419. The next prime is 11000434341427. The reversal of 11000434341420 is 2414343400011.

It is not an unprimeable number, because it can be changed into a prime (11000434341427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745279500 + ... + 745294259.

It is an arithmetic number, because the mean of its divisors is an integer number (474747742560).

Almost surely, 211000434341420 is an apocalyptic number.

11000434341420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000434341420 is an abundant number, since it is smaller than the sum of its proper divisors (23181403122900).

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

11000434341420 is a wasteful number, since it uses less digits than its factorization.

11000434341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490573815 (or 1490573810 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11000434341420 its reverse (2414343400011), we get a palindrome (13414777741431).

The spelling of 11000434341420 in words is "eleven trillion, four hundred thirty-four million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 1490573759 2981147518 4471721277 5962295036 7452868795 8943442554 13415163831 14905737590 17886885108 22358606385 26830327662 29811475180 44717212770 53660655324 61113524119 67075819155 89434425540 122227048238 134151638310 183340572357 244454096476 268303276620 305567620595 366681144714 550021717071 611135241190 733362289428 916702861785 1100043434142 1222270482380 1833405723570 2200086868284 2750108585355 3666811447140 5500217170710 11000434341420