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41240130100 = 225213187716901
BaseRepresentation
bin100110011010000110…
…100111001000110100
310221110002120200011221
4212122012213020310
51133424433130400
630540115040124
72656653215311
oct463206471064
9127402520157
1041240130100
1116542a84154
127bab2a0044
133b72c87860
141dd3185d08
1511157ecc1a
hex99a1a7234

41240130100 has 72 divisors (see below), whose sum is σ = 96432062328. Its totient is φ = 15218112000.

The previous prime is 41240130091. The next prime is 41240130103. The reversal of 41240130100 is 103104214.

It can be written as a sum of positive squares in 12 ways, for example, as 3176900496 + 38063229604 = 56364^2 + 195098^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41240130103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2431650 + ... + 2448550.

It is an arithmetic number, because the mean of its divisors is an integer number (1339334199).

Almost surely, 241240130100 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 41240130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48216031164).

41240130100 is an abundant number, since it is smaller than the sum of its proper divisors (55191932228).

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

41240130100 is a wasteful number, since it uses less digits than its factorization.

41240130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18805 (or 18798 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 41240130100 its reverse (103104214), we get a palindrome (41343234314).

The spelling of 41240130100 in words is "forty-one billion, two hundred forty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1877 3754 7508 9385 16901 18770 24401 33802 37540 46925 48802 67604 84505 93850 97604 122005 169010 187700 219713 244010 338020 422525 439426 488020 610025 845050 878852 1098565 1220050 1690100 2197130 2440100 4394260 5492825 10985650 21971300 31723177 63446354 126892708 158615885 317231770 412401301 634463540 793079425 824802602 1586158850 1649605204 2062006505 3172317700 4124013010 8248026020 10310032525 20620065050 41240130100