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1241601365100 = 2235211346778427
BaseRepresentation
bin10010000100010101001…
…101010101010001101100
311101200210100000102102110
4102010111031111101230
5130320244422140400
62350214522124020
7155463016320525
oct22042515252154
94350710012373
101241601365100
11439618669468
12180769950610
139010c360485
144414566384c
152246c090e50
hex1211535546c

1241601365100 has 144 divisors (see below), whose sum is σ = 3631964289408. Its totient is φ = 327456783360.

The previous prime is 1241601365077. The next prime is 1241601365101. The reversal of 1241601365100 is 15631061421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1241601365101) 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, 15792087 + ... + 15870513.

It is an arithmetic number, because the mean of its divisors is an integer number (25221974232).

Almost surely, 21241601365100 is an apocalyptic number.

1241601365100 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 1241601365100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815982144704).

1241601365100 is an abundant number, since it is smaller than the sum of its proper divisors (2390362924308).

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

1241601365100 is a wasteful number, since it uses less digits than its factorization.

1241601365100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79024 (or 79017 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 1241601365100 in words is "one trillion, two hundred forty-one billion, six hundred one million, three hundred sixty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 467 565 678 934 1130 1356 1401 1695 1868 2260 2335 2802 2825 3390 4670 5604 5650 6780 7005 8475 9340 11300 11675 14010 16950 23350 28020 33900 35025 46700 52771 70050 78427 105542 140100 156854 158313 211084 235281 263855 313708 316626 392135 470562 527710 633252 784270 791565 941124 1055420 1176405 1319275 1568540 1583130 1960675 2352810 2638550 3166260 3921350 3957825 4705620 5277100 5882025 7842700 7915650 8862251 11764050 15831300 17724502 23528100 26586753 35449004 36625409 44311255 53173506 73250818 88622510 106347012 109876227 132933765 146501636 177245020 183127045 219752454 221556275 265867530 366254090 439504908 443112550 531735060 549381135 664668825 732508180 886225100 915635225 1098762270 1329337650 1831270450 2197524540 2658675300 2746905675 3662540900 4138671217 5493811350 8277342434 10987622700 12416013651 16554684868 20693356085 24832027302 41386712170 49664054604 62080068255 82773424340 103466780425 124160136510 206933560850 248320273020 310400341275 413867121700 620800682550 1241601365100