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123241041 = 33711217317
BaseRepresentation
bin1110101100010…
…00001001010001
322120220021221000
413112020021101
5223022203131
620121252213
73024350220
oct726101121
9276807830
10123241041
1163625900
1235334069
131c6c01c1
1412520cb7
15ac45ce6
hex7588251

123241041 has 96 divisors (see below), whose sum is σ = 243613440. Its totient is φ = 60065280.

The previous prime is 123241037. The next prime is 123241051. The reversal of 123241041 is 140142321.

It is not a de Polignac number, because 123241041 - 22 = 123241037 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123241051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388615 + ... + 388931.

It is an arithmetic number, because the mean of its divisors is an integer number (2537640).

Almost surely, 2123241041 is an apocalyptic number.

123241041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123241041 is a deficient number, since it is larger than the sum of its proper divisors (120372399).

123241041 is a wasteful number, since it uses less digits than its factorization.

123241041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 355 counting only the distinct ones).

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

The square root of 123241041 is about 11101.3981551875. The cubic root of 123241041 is about 497.6436338554.

Adding to 123241041 its reverse (140142321), we get a palindrome (263383362).

The spelling of 123241041 in words is "one hundred twenty-three million, two hundred forty-one thousand, forty-one".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 99 119 121 153 187 189 231 297 317 357 363 459 561 693 847 951 1071 1089 1309 1683 2057 2079 2219 2541 2853 3213 3267 3487 3927 5049 5389 6171 6657 7623 8559 10461 11781 14399 16167 18513 19971 22869 24409 31383 35343 37723 38357 43197 48501 55539 59279 59913 73227 94149 113169 115071 129591 145503 177837 219681 268499 339507 345213 388773 414953 533511 652069 659043 805497 1018521 1035639 1244859 1600533 1956207 2416491 3734577 4564483 5868621 7249473 11203731 13693449 17605863 41080347 123241041