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1303044010000 = 2454277470413
BaseRepresentation
bin10010111101100011011…
…110011011000000010000
311121120101101012011221021
4102331203132123000100
5132322113231310000
62434335443205224
7163066434223165
oct22754336330020
94546341164837
101303044010000
11462688411a37
12190656976814
1395b5194a7a5
14470d396a06c
1523d662ae11a
hex12f6379b010

1303044010000 has 100 divisors (see below), whose sum is σ = 3166195752412. Its totient is φ = 519334848000.

The previous prime is 1303044009983. The next prime is 1303044010019. The reversal of 1303044010000 is 104403031.

It can be written as a sum of positive squares in 10 ways, for example, as 1190473023744 + 112570986256 = 1091088^2 + 335516^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2534794 + ... + 3005206.

Almost surely, 21303044010000 is an apocalyptic number.

1303044010000 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 1303044010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583097876206).

1303044010000 is an abundant number, since it is smaller than the sum of its proper divisors (1863151742412).

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

1303044010000 is an equidigital number, since it uses as much as digits as its factorization.

1303044010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470718 (or 470697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1303044010000 its reverse (104403031), we get a palindrome (1303148413031).

The spelling of 1303044010000 in words is "one trillion, three hundred three billion, forty-four million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 277 400 500 554 625 1000 1108 1250 1385 2000 2216 2500 2770 4432 5000 5540 6925 10000 11080 13850 22160 27700 34625 55400 69250 110800 138500 173125 277000 346250 470413 554000 692500 940826 1385000 1881652 2352065 2770000 3763304 4704130 7526608 9408260 11760325 18816520 23520650 37633040 47041300 58801625 94082600 117603250 130304401 188165200 235206500 260608802 294008125 470413000 521217604 588016250 651522005 940826000 1042435208 1176032500 1303044010 2084870416 2352065000 2606088020 3257610025 4704130000 5212176040 6515220050 10424352080 13030440100 16288050125 26060880200 32576100250 52121760400 65152200500 81440250625 130304401000 162880501250 260608802000 325761002500 651522005000 1303044010000