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13453013000 = 235372966271
BaseRepresentation
bin11001000011101110…
…01011000000001000
31021201120012212110202
430201313023000020
5210022432404000
610102532431332
7654243503150
oct144167130010
937646185422
1013453013000
115783969869
122735478548
1313651b4c2b
149189ad760
1553b0d7dd5
hex321dcb008

13453013000 has 128 divisors (see below), whose sum is σ = 37218355200. Its totient is φ = 4453344000.

The previous prime is 13453012997. The next prime is 13453013003. The reversal of 13453013000 is 31035431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13453012997) and next prime (13453013003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13453013003) 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 31 ways as a sum of consecutive naturals, for example, 169865 + ... + 236135.

It is an arithmetic number, because the mean of its divisors is an integer number (290768400).

Almost surely, 213453013000 is an apocalyptic number.

13453013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13453013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18609177600).

13453013000 is an abundant number, since it is smaller than the sum of its proper divisors (23765342200).

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

13453013000 is a wasteful number, since it uses less digits than its factorization.

13453013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66328 (or 66314 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 13453013000 its reverse (31035431), we get a palindrome (13484048431).

The spelling of 13453013000 in words is "thirteen billion, four hundred fifty-three million, thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 125 140 145 175 200 203 232 250 280 290 350 406 500 580 700 725 812 875 1000 1015 1160 1400 1450 1624 1750 2030 2900 3500 3625 4060 5075 5800 7000 7250 8120 10150 14500 20300 25375 29000 40600 50750 66271 101500 132542 203000 265084 331355 463897 530168 662710 927794 1325420 1656775 1855588 1921859 2319485 2650840 3313550 3711176 3843718 4638970 6627100 7687436 8283875 9277940 9609295 11597425 13254200 13453013 15374872 16567750 18555880 19218590 23194850 26906026 33135500 38437180 46389700 48046475 53812052 57987125 66271000 67265065 76874360 92779400 96092950 107624104 115974250 134530130 192185900 231948500 240232375 269060260 336325325 384371800 463897000 480464750 538120520 672650650 960929500 1345301300 1681626625 1921859000 2690602600 3363253250 6726506500 13453013000