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41512123120 = 245131012111873
BaseRepresentation
bin100110101010010100…
…001011101011110000
310222011001101100110111
4212222110023223300
51140004100414440
631023112511104
72666465140006
oct465224135360
9128131340414
1041512123120
1116672569576
1280663ab494
133bb742a880
14201b348a76
15112e6284ea
hex9aa50baf0

41512123120 has 160 divisors (see below), whose sum is σ = 105522871104. Its totient is φ = 15095808000.

The previous prime is 41512123117. The next prime is 41512123123. The reversal of 41512123120 is 2132121514.

It is an interprime number because it is at equal distance from previous prime (41512123117) and next prime (41512123123).

It is a junction number, because it is equal to n+sod(n) for n = 41512123091 and 41512123100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41512123123) 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, 22162504 + ... + 22164376.

Almost surely, 241512123120 is an apocalyptic number.

41512123120 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 41512123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52761435552).

41512123120 is an abundant number, since it is smaller than the sum of its proper divisors (64010747984).

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

41512123120 is a wasteful number, since it uses less digits than its factorization.

41512123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 41512123120 its reverse (2132121514), we get a palindrome (43644244634).

The spelling of 41512123120 in words is "forty-one billion, five hundred twelve million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 202 208 211 260 404 422 505 520 808 844 1010 1040 1055 1313 1616 1688 1873 2020 2110 2626 2743 3376 3746 4040 4220 5252 5486 6565 7492 8080 8440 9365 10504 10972 13130 13715 14984 16880 18730 21008 21311 21944 24349 26260 27430 29968 37460 42622 43888 48698 52520 54860 74920 85244 97396 105040 106555 109720 121745 149840 170488 189173 194792 213110 219440 243490 277043 340976 378346 389584 395203 426220 486980 554086 756692 790406 852440 945865 973960 1108172 1385215 1513384 1580812 1704880 1891730 1947920 1976015 2216344 2459249 2770430 3026768 3161624 3783460 3952030 4432688 4918498 5137639 5540860 6323248 7566920 7904060 9836996 10275278 11081720 12296245 15133840 15808120 19673992 20550556 22163440 24592490 25688195 31616240 39347984 39915503 41101112 49184980 51376390 79831006 82202224 98369960 102752780 159662012 196739920 199577515 205505560 319324024 399155030 411011120 518901539 638648048 798310060 1037803078 1596620120 2075606156 2594507695 3193240240 4151212312 5189015390 8302424624 10378030780 20756061560 41512123120