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304211242440100 = 22527361767540961
BaseRepresentation
bin100010100101011011011001…
…1000010101101010110100100
31110220010022101112120002211001
41011022312303002231112210
5304333144111031040400
62555000414312523044
7121035352115550412
oct10512666302552644
91426108345502731
10304211242440100
1188a2729964a9a6
122a1522156b0484
1310098cc6740728
145519c8cdd62b2
152528374c6ba6a
hex114adb30ad5a4

304211242440100 has 72 divisors (see below), whose sum is σ = 670265970497928. Its totient is φ = 119823066316800.

The previous prime is 304211242440031. The next prime is 304211242440103. The reversal of 304211242440100 is 1044242112403.

It can be written as a sum of positive squares in 12 ways, for example, as 245521822986496 + 58689419453604 = 15669136^2 + 7660902^2 .

It is not an unprimeable number, because it can be changed into a prime (304211242440103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29266381 + ... + 38274580.

It is an arithmetic number, because the mean of its divisors is an integer number (9309249590249).

Almost surely, 2304211242440100 is an apocalyptic number.

It is an amenable number.

304211242440100 is an abundant number, since it is smaller than the sum of its proper divisors (366054728057828).

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

304211242440100 is a wasteful number, since it uses less digits than its factorization.

304211242440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67541665 (or 67541658 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 304211242440100 its reverse (1044242112403), we get a palindrome (305255484552503).

The spelling of 304211242440100 in words is "three hundred four trillion, two hundred eleven billion, two hundred forty-two million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 617 730 1234 1460 1825 2468 3085 3650 6170 7300 12340 15425 30850 45041 61700 90082 180164 225205 450410 900820 1126025 2252050 4504100 67540961 135081922 270163844 337704805 675409610 1350819220 1688524025 3377048050 4930490153 6754096100 9860980306 19721960612 24652450765 41672772937 49304901530 83345545874 98609803060 123262253825 166691091748 208363864685 246524507650 416727729370 493049015300 833455458740 1041819323425 2083638646850 3042112424401 4167277293700 6084224848802 12168449697604 15210562122005 30421124244010 60842248488020 76052810610025 152105621220050 304211242440100