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241342101 = 327211134389
BaseRepresentation
bin11100110001010…
…01011010010101
3121211010110010100
432120221122111
5443240421401
635540444313
75660242200
oct1630513225
9554113110
10241342101
1111425a990
12689a9699
133b0009a0
14240a4937
15162c3b86
hexe629695

241342101 has 144 divisors (see below), whose sum is σ = 492972480. Its totient is φ = 111767040.

The previous prime is 241342097. The next prime is 241342109. The reversal of 241342101 is 101243142.

241342101 is a `hidden beast` number, since 241 + 3 + 421 + 0 + 1 = 666.

241342101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 241342101 - 22 = 241342097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241342109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2711665 + ... + 2711753.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2241342101 is an apocalyptic number.

241342101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

241342101 is an abundant number, since it is smaller than the sum of its proper divisors (251630379).

241342101 is a wasteful number, since it uses less digits than its factorization.

241342101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 241342101 is about 15535.1891201878. The cubic root of 241342101 is about 622.6027429969.

Adding to 241342101 its reverse (101243142), we get a palindrome (342585243).

The spelling of 241342101 in words is "two hundred forty-one million, three hundred forty-two thousand, one hundred one".

Divisors: 1 3 7 9 11 13 21 33 39 43 49 63 77 89 91 99 117 129 143 147 231 267 273 301 387 429 441 473 539 559 623 637 693 801 819 903 979 1001 1157 1287 1419 1617 1677 1869 1911 2107 2709 2937 3003 3311 3471 3827 3913 4257 4361 4851 5031 5607 5733 6149 6321 6853 7007 8099 8811 9009 9933 10413 11481 11739 12727 13083 18447 18963 20559 21021 23177 24297 26789 27391 29799 34443 35217 38181 39249 42097 43043 47971 49751 55341 56693 61677 63063 69531 72891 80367 82173 89089 114543 126291 129129 143913 149253 170079 187523 208593 241101 246519 267267 294679 301301 348257 378873 387387 431739 447759 510237 547261 562569 623623 801801 884037 903903 1044771 1641783 1687707 1870869 2062753 2437799 2652111 2711709 3134313 3830827 4925349 5612607 6188259 7313397 11492481 18564777 21940191 26815789 34477443 80447367 241342101