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201210100002 = 233591131972837
BaseRepresentation
bin1011101101100100001…
…1100111100100100010
3201020100200022010122000
42323121003213210202
511244034241200002
6232233514424430
720352113426232
oct2733103474442
9636320263560
10201210100002
117837294624a
1232bb4a32116
1315c87c3b892
149a4aabdcc2
15537980761c
hex2ed90e7922

201210100002 has 128 divisors (see below), whose sum is σ = 461227219200. Its totient is φ = 64995130368.

The previous prime is 201210099983. The next prime is 201210100031. The reversal of 201210100002 is 200001012102.

201210100002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70922128 + ... + 70924964.

It is an arithmetic number, because the mean of its divisors is an integer number (3603337650).

Almost surely, 2201210100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201210100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230613609600).

201210100002 is an abundant number, since it is smaller than the sum of its proper divisors (260017119198).

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

201210100002 is a wasteful number, since it uses less digits than its factorization.

201210100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201210100002 its reverse (200001012102), we get a palindrome (401211112104).

The spelling of 201210100002 in words is "two hundred one billion, two hundred ten million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 27 54 59 113 118 177 197 226 339 354 394 531 591 678 1017 1062 1182 1593 1773 2034 2837 3051 3186 3546 5319 5674 6102 6667 8511 10638 11623 13334 17022 20001 22261 23246 25533 34869 40002 44522 51066 60003 66783 69738 76599 104607 120006 133566 153198 167383 180009 200349 209214 313821 320581 334766 360018 400698 502149 558889 601047 627642 641162 961743 1004298 1117778 1202094 1313399 1506447 1676667 1923486 2626798 2885229 3012894 3353334 3940197 4519341 5030001 5770458 7880394 8655687 9038682 10060002 11820591 15090003 17311374 18914279 23641182 30180006 32974451 35461773 37828558 56742837 63154457 65948902 70923546 98923353 113485674 126308914 170228511 189463371 197846706 296770059 340457022 378926742 510685533 568390113 593540118 890310177 1021371066 1136780226 1705170339 1780620354 3410340678 3726112963 7452225926 11178338889 22356677778 33535016667 67070033334 100605050001 201210100002