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201210210006 = 231347149368359
BaseRepresentation
bin1011101101100100010…
…0000010011011010110
3201020100200111201112020
42323121010002123112
511244034303210011
6232233521034010
720352114365031
oct2733104023326
9636320451466
10201210210006
1178372a10963
1232bb4a85906
1315c87c79980
149a4ab0c018
15537982a006
hex2ed91026d6

201210210006 has 64 divisors (see below), whose sum is σ = 445568256000. Its totient is φ = 60186750336.

The previous prime is 201210209953. The next prime is 201210210041. The reversal of 201210210006 is 600012012102.

It is a super-2 number, since 2×2012102100062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362055 + ... + 730413.

It is an arithmetic number, because the mean of its divisors is an integer number (6962004000).

Almost surely, 2201210210006 is an apocalyptic number.

201210210006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201210210006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222784128000).

201210210006 is an abundant number, since it is smaller than the sum of its proper divisors (244358045994).

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

201210210006 is a wasteful number, since it uses less digits than its factorization.

201210210006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368573.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201210210006 its reverse (600012012102), we get a palindrome (801222222108).

The spelling of 201210210006 in words is "two hundred one billion, two hundred ten million, two hundred ten thousand, six".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 149 282 298 447 611 894 1222 1833 1937 3666 3874 5811 7003 11622 14006 21009 42018 91039 182078 273117 368359 546234 736718 1105077 2210154 4788667 9577334 14366001 17312873 28732002 34625746 51938619 54885491 103877238 109770982 164656473 225067349 329312946 450134698 675202047 713511383 1350404094 1427022766 2140534149 2579618077 4281068298 5159236154 7738854231 15477708462 33535035001 67070070002 100605105003 201210210006