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41231100000 = 25355137437
BaseRepresentation
bin100110011001100100…
…001010100001100000
310221102110120220012210
4212121210022201200
51133420130200000
630535153322120
72656513365426
oct463144124140
9127373526183
1041231100000
1116538976762
127ba8266340
133b711455bc
141dd1cb5116
151114b17350
hex99990a860

41231100000 has 144 divisors (see below), whose sum is σ = 135281872656. Its totient is φ = 10994880000.

The previous prime is 41231099971. The next prime is 41231100023. The reversal of 41231100000 is 113214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231282 + ... + 368718.

It is an arithmetic number, because the mean of its divisors is an integer number (939457449).

Almost surely, 241231100000 is an apocalyptic number.

41231100000 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 41231100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67640936328).

41231100000 is an abundant number, since it is smaller than the sum of its proper divisors (94050772656).

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

41231100000 is an equidigital number, since it uses as much as digits as its factorization.

41231100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137475 (or 137447 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 41231100000 its reverse (113214), we get a palindrome (41231213214).

The spelling of 41231100000 in words is "forty-one billion, two hundred thirty-one million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 137437 150000 274874 300000 412311 549748 687185 824622 1099496 1374370 1649244 2061555 2198992 2748740 3298488 3435925 4123110 4397984 5497480 6596976 6871850 8246220 10307775 10994960 13193952 13743700 16492440 17179625 20615550 21989920 27487400 32984880 34359250 41231100 51538875 54974800 65969760 68718500 82462200 85898125 103077750 109949600 137437000 164924400 171796250 206155500 257694375 274874000 329848800 343592500 412311000 429490625 515388750 549748000 687185000 824622000 858981250 1030777500 1288471875 1374370000 1649244000 1717962500 2061555000 2576943750 2748740000 3435925000 4123110000 5153887500 6871850000 8246220000 10307775000 13743700000 20615550000 41231100000