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241143244100 = 225211313700387
BaseRepresentation
bin1110000010010101000…
…0011110010101000100
3212001102200120001001222
43200211100132111010
512422330132302400
6302440224335512
723264516516663
oct3404520362504
9761380501058
10241143244100
11932a5090480
123a89a474598
13199801b3725
14b958446dda
1564154d5185
hex382541e544

241143244100 has 72 divisors (see below), whose sum is σ = 572676450528. Its totient is φ = 87408172800.

The previous prime is 241143244073. The next prime is 241143244163. The reversal of 241143244100 is 1442341142.

It is a super-5 number, since 5×2411432441005 (a number of 58 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241143244100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5894 + ... + 694493.

Almost surely, 2241143244100 is an apocalyptic number.

241143244100 is a gapful number since it is divisible by the number (20) 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 241143244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286338225264).

241143244100 is an abundant number, since it is smaller than the sum of its proper divisors (331533206428).

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

241143244100 is a wasteful number, since it uses less digits than its factorization.

241143244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700725 (or 700718 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 241143244100 its reverse (1442341142), we get a palindrome (242585585242).

The spelling of 241143244100 in words is "two hundred forty-one billion, one hundred forty-three million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 313 550 626 1100 1252 1565 3130 3443 6260 6886 7825 13772 15650 17215 31300 34430 68860 86075 172150 344300 700387 1400774 2801548 3501935 7003870 7704257 14007740 15408514 17509675 30817028 35019350 38521285 70038700 77042570 154085140 192606425 219221131 385212850 438442262 770425700 876884524 1096105655 2192211310 2411432441 4384422620 4822864882 5480528275 9645729764 10961056550 12057162205 21922113100 24114324410 48228648820 60285811025 120571622050 241143244100