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41131342324100 = 22527234613250451
BaseRepresentation
bin10010101101000101000110…
…00011000110000110000100
312101122010011222002210220202
421112202203003012012010
520342343442113332400
6223251251112350032
711443433002115330
oct1126424303060604
9171563158083822
1041131342324100
11121187824a5056
1247436433a5318
1319c4890871432
14a22aa63a87c0
154b4dc20974d5
hex2568a30c6184

41131342324100 has 72 divisors (see below), whose sum is σ = 102006571036608. Its totient is φ = 14102058096000.

The previous prime is 41131342324097. The next prime is 41131342324151. The reversal of 41131342324100 is 142324313114.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 164103875 + ... + 164354325.

It is an arithmetic number, because the mean of its divisors is an integer number (1416757931064).

Almost surely, 241131342324100 is an apocalyptic number.

It is an amenable number.

41131342324100 is an abundant number, since it is smaller than the sum of its proper divisors (60875228712508).

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

41131342324100 is a wasteful number, since it uses less digits than its factorization.

41131342324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485085 (or 485078 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 41131342324100 its reverse (142324313114), we get a palindrome (41273666637214).

The spelling of 41131342324100 in words is "forty-one trillion, one hundred thirty-one billion, three hundred forty-two million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 234613 250451 469226 500902 938452 1001804 1173065 1252255 1642291 1753157 2346130 2504510 3284582 3506314 4692260 5009020 5865325 6261275 6569164 7012628 8211455 8765785 11730650 12522550 16422910 17531570 23461300 25045100 32845820 35063140 41057275 43828925 82114550 87657850 164229100 175315700 58759060463 117518120926 235036241852 293795302315 411313423241 587590604630 822626846482 1175181209260 1468976511575 1645253692964 2056567116205 2937953023150 4113134232410 5875906046300 8226268464820 10282835581025 20565671162050 41131342324100