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41530364100 = 22325267932
BaseRepresentation
bin100110101011011001…
…110001000011000100
310222012022201002101100
4212223121301003010
51140023233122400
631025003500100
73000106161501
oct465331610304
9128168632340
1041530364100
1116681898265
128070527630
133bbb146454
14201d9364a8
15113102d100
hex9ab6710c4

41530364100 has 81 divisors (see below), whose sum is σ = 130193784903. Its totient is φ = 11073133440.

The previous prime is 41530364087. The next prime is 41530364129. The reversal of 41530364100 is 146303514.

The square root of 41530364100 is 203790.

It is a perfect power (a square), and thus also a powerful number.

41530364100 is a `hidden beast` number, since 4 + 15 + 3 + 0 + 3 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13233741444 + 28296622656 = 115038^2 + 168216^2 .

It is a super-2 number, since 2×415303641002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6110304 + ... + 6117096.

Almost surely, 241530364100 is an apocalyptic number.

41530364100 is the 203790-th square number.

It is an amenable number.

41530364100 is an abundant number, since it is smaller than the sum of its proper divisors (88663420803).

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

41530364100 is an equidigital number, since it uses as much as digits as its factorization.

41530364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13606 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 41530364100 its reverse (146303514), we get a palindrome (41676667614).

The spelling of 41530364100 in words is "forty-one billion, five hundred thirty million, three hundred sixty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 6793 13586 20379 27172 33965 40758 61137 67930 81516 101895 122274 135860 169825 203790 244548 305685 339650 407580 509475 611370 679300 1018950 1222740 1528425 2037900 3056850 6113700 46144849 92289698 138434547 184579396 230724245 276869094 415303641 461448490 553738188 692172735 830607282 922896980 1153621225 1384345470 1661214564 2076518205 2307242450 2768690940 3460863675 4153036410 4614484900 6921727350 8306072820 10382591025 13843454700 20765182050 41530364100