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245324001300 = 223527131891763
BaseRepresentation
bin1110010001111001110…
…0110011000000010100
3212110020001101111210020
43210132130303000110
513004410421020200
6304411132425140
723503233414330
oct3443634630024
9773201344706
10245324001300
1195050004214
123b6666181b0
131a1983b2861
14bc337b07c0
1565ac562ea0
hex391e733014

245324001300 has 144 divisors (see below), whose sum is σ = 817398016512. Its totient is φ = 55645948800.

The previous prime is 245324001289. The next prime is 245324001301. The reversal of 245324001300 is 3100423542.

It is a super-2 number, since 2×2453240013002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245324001301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170782 + ... + 720981.

Almost surely, 2245324001300 is an apocalyptic number.

245324001300 is a gapful number since it is divisible by the number (20) 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 245324001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408699008256).

245324001300 is an abundant number, since it is smaller than the sum of its proper divisors (572074015212).

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

245324001300 is a wasteful number, since it uses less digits than its factorization.

245324001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891918 (or 891911 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 245324001300 its reverse (3100423542), we get a palindrome (248424424842).

The spelling of 245324001300 in words is "two hundred forty-five billion, three hundred twenty-four million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 131 140 150 175 210 262 300 350 393 420 524 525 655 700 786 917 1050 1310 1572 1834 1965 2100 2620 2751 3275 3668 3930 4585 5502 6550 7860 9170 9825 11004 13100 13755 18340 19650 22925 27510 39300 45850 55020 68775 91700 137550 275100 891763 1783526 2675289 3567052 4458815 5350578 6242341 8917630 10701156 12484682 13376445 17835260 18727023 22294075 24969364 26752890 31211705 37454046 44588150 53505780 62423410 66882225 74908092 89176300 93635115 116820953 124846820 133764450 156058525 187270230 233641906 267528900 312117050 350462859 374540460 467283812 468175575 584104765 624234100 700925718 817746671 936351150 1168209530 1401851436 1635493342 1752314295 1872702300 2336419060 2453240013 2920523825 3270986684 3504628590 4088733355 4906480026 5841047650 7009257180 8177466710 8761571475 9812960052 11682095300 12266200065 16354933420 17523142950 20443666775 24532400130 35046285900 40887333550 49064800260 61331000325 81774667100 122662000650 245324001300