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241010010 = 232529107863
BaseRepresentation
bin11100101110110…
…00010101011010
3121210111120120200
432113120111122
5443144310020
635525403030
75654360043
oct1627302532
9553446520
10241010010
1111405342a
1268869476
133ac15797
14240198ca
151625a590
hexe5d855a

241010010 has 96 divisors (see below), whose sum is σ = 655050240. Its totient is φ = 61401984.

The previous prime is 241009991. The next prime is 241010017. The reversal of 241010010 is 10010142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 241009974 and 241010001.

It is not an unprimeable number, because it can be changed into a prime (241010017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278839 + ... + 279701.

It is an arithmetic number, because the mean of its divisors is an integer number (6823440).

Almost surely, 2241010010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327525120).

241010010 is an abundant number, since it is smaller than the sum of its proper divisors (414040230).

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

241010010 is a wasteful number, since it uses less digits than its factorization.

241010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 241010010 is about 15524.4970933039. The cubic root of 241010010 is about 622.3170411174.

Adding to 241010010 its reverse (10010142), we get a palindrome (251020152).

It can be divided in two parts, 2410100 and 10, that added together give a triangular number (2410110 = T2195).

The spelling of 241010010 in words is "two hundred forty-one million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 107 145 174 214 261 290 321 435 522 535 642 863 870 963 1070 1305 1605 1726 1926 2589 2610 3103 3210 4315 4815 5178 6206 7767 8630 9309 9630 12945 15515 15534 18618 25027 25890 27927 31030 38835 46545 50054 55854 75081 77670 92341 93090 125135 139635 150162 184682 225243 250270 277023 279270 375405 450486 461705 554046 750810 831069 923410 1126215 1385115 1662138 2252430 2677889 2770230 4155345 5355778 8033667 8310690 13389445 16067334 24101001 26778890 40168335 48202002 80336670 120505005 241010010