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41102130120 = 23351730765629
BaseRepresentation
bin100110010001111000…
…001011101111001000
310221002110220112210120
4212101320023233020
51133134121130440
630514305143240
72653356225102
oct462170135710
9127073815716
1041102130120
1116482098787
127b7102ab20
133b504ca96c
141dbcb02572
15110863ddd0
hex991e0bbc8

41102130120 has 128 divisors (see below), whose sum is σ = 130986979200. Its totient is φ = 10282070016.

The previous prime is 41102130077. The next prime is 41102130127. The reversal of 41102130120 is 2103120114.

It is a super-2 number, since 2×411021301202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41102130120.

It is not an unprimeable number, because it can be changed into a prime (41102130127) 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 31 ways as a sum of consecutive naturals, for example, 593466 + ... + 659094.

It is an arithmetic number, because the mean of its divisors is an integer number (1023335775).

Almost surely, 241102130120 is an apocalyptic number.

41102130120 is a gapful number since it is divisible by the number (40) 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 41102130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65493489600).

41102130120 is an abundant number, since it is smaller than the sum of its proper divisors (89884849080).

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

41102130120 is a wasteful number, since it uses less digits than its factorization.

41102130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65967 (or 65963 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 41102130120 its reverse (2103120114), we get a palindrome (43205250234).

The spelling of 41102130120 in words is "forty-one billion, one hundred two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 307 340 408 510 614 680 921 1020 1228 1535 1842 2040 2456 3070 3684 4605 5219 6140 7368 9210 10438 12280 15657 18420 20876 26095 31314 36840 41752 52190 62628 65629 78285 104380 125256 131258 156570 196887 208760 262516 313140 328145 393774 525032 626280 656290 787548 984435 1115693 1312580 1575096 1968870 2231386 2625160 3347079 3937740 4462772 5578465 6694158 7875480 8925544 11156930 13388316 16735395 20148103 22313860 26776632 33470790 40296206 44627720 60444309 66941580 80592412 100740515 120888618 133883160 161184824 201481030 241777236 302221545 342517751 402962060 483554472 604443090 685035502 805924120 1027553253 1208886180 1370071004 1712588755 2055106506 2417772360 2740142008 3425177510 4110213012 5137766265 6850355020 8220426024 10275532530 13700710040 20551065060 41102130120