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201341414421 = 33717791914153
BaseRepresentation
bin1011101110000011100…
…0100010110000010101
3201020200211101121011000
42323200320202300111
511244321400230141
6232254525133513
720355266533140
oct2734070426025
9636624347130
10201341414421
117842aa85764
12330309ba299
1315ca91c7714
149a60303057
1553860e55b6
hex2ee0e22c15

201341414421 has 128 divisors (see below), whose sum is σ = 367519334400. Its totient is φ = 106328401920.

The previous prime is 201341414377. The next prime is 201341414471. The reversal of 201341414421 is 124414143102.

201341414421 is a `hidden beast` number, since 201 + 3 + 4 + 1 + 414 + 42 + 1 = 666.

It is not a de Polignac number, because 201341414421 - 27 = 201341414293 is a prime.

It is a super-2 number, since 2×2013414144212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201341414471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48478881 + ... + 48483033.

It is an arithmetic number, because the mean of its divisors is an integer number (2871244800).

Almost surely, 2201341414421 is an apocalyptic number.

201341414421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201341414421 is a deficient number, since it is larger than the sum of its proper divisors (166177919979).

201341414421 is a wasteful number, since it uses less digits than its factorization.

201341414421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 201341414421 its reverse (124414143102), we get a palindrome (325755557523).

The spelling of 201341414421 in words is "two hundred one billion, three hundred forty-one million, four hundred fourteen thousand, four hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 79 119 153 189 191 237 357 459 553 573 711 1071 1337 1343 1659 1719 2133 3213 3247 4011 4029 4153 4977 5157 9401 9741 12033 12087 12459 14931 15089 22729 28203 29071 29223 36099 36261 37377 45267 68187 70601 84609 87213 87669 105623 112131 135801 204561 211803 253827 256513 261639 316869 328087 407403 494207 613683 635409 769539 784917 793223 950607 984261 1482621 1795591 1906227 2296609 2308617 2379669 2851821 2952783 4447863 5386773 5552561 5577479 6889827 6925851 7139007 8858349 13343589 13484791 16160319 16657683 16732437 20669481 21417021 39042353 40454373 48480957 49973049 50197311 62008443 62664617 94393537 117127059 121363119 149919147 150591933 187993851 283180611 351381177 364089357 438652319 563981553 849541833 1054143531 1065298489 1315956957 1691944659 2548625499 3195895467 3947870871 7457089423 9587686401 11843612613 22371268269 28763059203 67113804807 201341414421