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41321242100 = 225217193125941
BaseRepresentation
bin100110011110111100…
…000001110111110100
310221122202012120221002
4212132330001313310
51134111214221400
630552133342432
72661656522405
oct463674016764
9127582176832
1041321242100
1116584844866
128012497a18
133b86a17118
141dddc5b9ac
15111c9c0ed5
hex99ef01df4

41321242100 has 72 divisors (see below), whose sum is σ = 95434313688. Its totient is φ = 15475507200.

The previous prime is 41321242019. The next prime is 41321242129. The reversal of 41321242100 is 124212314.

It can be written as a sum of positive squares in 12 ways, for example, as 1631836816 + 39689405284 = 40396^2 + 199222^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265130 + ... + 391070.

It is an arithmetic number, because the mean of its divisors is an integer number (1325476579).

Almost surely, 241321242100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41321242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47717156844).

41321242100 is an abundant number, since it is smaller than the sum of its proper divisors (54113071588).

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

41321242100 is a wasteful number, since it uses less digits than its factorization.

41321242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126165 (or 126158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41321242100 its reverse (124212314), we get a palindrome (41445454414).

The spelling of 41321242100 in words is "forty-one billion, three hundred twenty-one million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 193 340 386 425 772 850 965 1700 1930 3281 3860 4825 6562 9650 13124 16405 19300 32810 65620 82025 125941 164050 251882 328100 503764 629705 1259410 2140997 2518820 3148525 4281994 6297050 8563988 10704985 12594100 21409970 24306613 42819940 48613226 53524925 97226452 107049850 121533065 214099700 243066130 413212421 486132260 607665325 826424842 1215330650 1652849684 2066062105 2430661300 4132124210 8264248420 10330310525 20660621050 41321242100