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241130431212 = 2231110140134507
BaseRepresentation
bin1110000010010001111…
…1100110001011101100
3212001101210110002002120
43200210133212023230
512422313342244322
6302435045552540
723264302563426
oct3404437461354
9761353402076
10241130431212
1193298929a10
123a896115750
131997a648738
14b95686d816
156414303a5c
hex38247e62ec

241130431212 has 96 divisors (see below), whose sum is σ = 620155678464. Its totient is φ = 72312288000.

The previous prime is 241130431211. The next prime is 241130431261. The reversal of 241130431212 is 212134031142.

241130431212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (241130431211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53499063 + ... + 53503569.

It is an arithmetic number, because the mean of its divisors is an integer number (6459954984).

Almost surely, 2241130431212 is an apocalyptic number.

241130431212 is a gapful number since it is divisible by the number (22) 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 241130431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310077839232).

241130431212 is an abundant number, since it is smaller than the sum of its proper divisors (379025247252).

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

241130431212 is a wasteful number, since it uses less digits than its factorization.

241130431212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8639 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 241130431212 its reverse (212134031142), we get a palindrome (453264462354).

The spelling of 241130431212 in words is "two hundred forty-one billion, one hundred thirty million, four hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4013 4444 4507 6666 8026 9014 12039 13332 13521 16052 18028 24078 27042 44143 48156 49577 54084 88286 99154 132429 148731 176572 198308 264858 297462 405313 455207 529716 594924 810626 910414 1215939 1365621 1621252 1820828 2431878 2731242 4458443 4863756 5007277 5462484 8916886 10014554 13375329 15021831 17833772 18086591 20029108 26750658 30043662 36173182 53501316 54259773 60087324 72346364 108519546 198952501 217039092 397905002 596857503 795810004 1193715006 1826745691 2387430012 3653491382 5480237073 7306982764 10960474146 20094202601 21920948292 40188405202 60282607803 80376810404 120565215606 241130431212