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41231100114 = 23361101123931
BaseRepresentation
bin100110011001100100…
…001010100011010010
310221102110120220101000
4212121210022203102
51133420130200424
630535153322430
72656513365651
oct463144124322
9127373526330
1041231100114
1116538976856
127ba8266416
133b71145679
141dd1cb5198
151114b173c9
hex99990a8d2

41231100114 has 64 divisors (see below), whose sum is σ = 94049516160. Its totient is φ = 13384440000.

The previous prime is 41231100101. The next prime is 41231100179. The reversal of 41231100114 is 41100113214.

It is a super-2 number, since 2×412311001142 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270729 + ... + 394659.

It is an arithmetic number, because the mean of its divisors is an integer number (1469523690).

Almost surely, 241231100114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41231100114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47024758080).

41231100114 is an abundant number, since it is smaller than the sum of its proper divisors (52818416046).

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

41231100114 is a wasteful number, since it uses less digits than its factorization.

41231100114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124104 (or 124098 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 41231100114 its reverse (41100113214), we get a palindrome (82331213328).

The spelling of 41231100114 in words is "forty-one billion, two hundred thirty-one million, one hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 61 101 122 183 202 303 366 549 606 909 1098 1647 1818 2727 3294 5454 6161 12322 18483 36966 55449 110898 123931 166347 247862 332694 371793 743586 1115379 2230758 3346137 6692274 7559791 12517031 15119582 22679373 25034062 37551093 45358746 68038119 75102186 112653279 136076238 204114357 225306558 337959837 408228714 675919674 763538891 1527077782 2290616673 4581233346 6871850019 13743700038 20615550057 41231100114