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201111002001 = 327132199371061
BaseRepresentation
bin1011101101001100100…
…1100101101110010001
3201020002202211102201200
42323103021211232101
511243333404031001
6232220014421413
720346501211620
oct2732311455621
9636082742650
10201111002001
1178321a10478
1232b87801869
1315c70552800
149a3b8856b7
155370c80086
hex2ed3265b91

201111002001 has 144 divisors (see below), whose sum is σ = 379176819840. Its totient is φ = 100295470080.

The previous prime is 201111001991. The next prime is 201111002023. The reversal of 201111002001 is 100200111102.

It is a happy number.

It is not a de Polignac number, because 201111002001 - 211 = 201110999953 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (201111002041) 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, 189548011 + ... + 189549071.

It is an arithmetic number, because the mean of its divisors is an integer number (2633172360).

Almost surely, 2201111002001 is an apocalyptic number.

201111002001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201111002001 is a deficient number, since it is larger than the sum of its proper divisors (178065817839).

201111002001 is a wasteful number, since it uses less digits than its factorization.

201111002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201111002001 its reverse (100200111102), we get a palindrome (301311113103).

The spelling of 201111002001 in words is "two hundred one billion, one hundred eleven million, two thousand, one".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 169 171 247 273 399 507 741 819 937 1061 1183 1197 1521 1729 2223 2811 3183 3211 3549 5187 6559 7427 8433 9549 9633 10647 12181 13793 15561 17803 19677 20159 22281 22477 28899 36543 41379 53409 59031 60477 66843 67431 85267 96551 109629 124137 124621 141113 158353 160227 179309 181431 202293 231439 255801 262067 289653 373863 423339 475059 537927 694317 767403 786201 868959 994157 1108471 1121589 1255163 1270017 1425177 1613781 1620073 1834469 2082951 2358603 2982471 3008707 3325413 3406871 3765489 4860219 5503407 6959099 8947413 9026121 9976239 10220613 11296467 12924041 14580657 16510221 18888983 20877297 21060949 23848097 27078363 30661839 38772123 56666949 62631891 63182847 71544291 90468287 116316369 132222881 168012533 170000847 189548541 214632873 245556779 271404861 396668643 504037599 736670337 814214583 1176087731 1190005929 1512112797 1718897453 2210011011 3192238127 3528263193 5156692359 9576714381 10584789579 15470077077 22345666889 28730143143 67037000667 201111002001