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201210001021212 = 223194673647951803
BaseRepresentation
bin101101101111111111011010…
…101000101101100100011100
3222101102111011221000200111220
4231233333122220231210130
5202333111040230134322
61551534333130413340
760244641253305021
oct5557773250554434
9871374157020456
10201210001021212
1159125756051727
121a697a1a291250
138837038830b01
14379888a499548
15183de01c8a55c
hexb6ffdaa2d91c

201210001021212 has 96 divisors (see below), whose sum is σ = 495281383833600. Its totient is φ = 63400978360512.

The previous prime is 201210001021163. The next prime is 201210001021213. The reversal of 201210001021212 is 212120100012102.

It is a super-3 number, since 3×2012100010212123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 201210001021191 and 201210001021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201210001021213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3884112103 + ... + 3884163905.

It is an arithmetic number, because the mean of its divisors is an integer number (5159181081600).

Almost surely, 2201210001021212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201210001021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247640691916800).

201210001021212 is an abundant number, since it is smaller than the sum of its proper divisors (294071382812388).

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

201210001021212 is a wasteful number, since it uses less digits than its factorization.

201210001021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88775 (or 88773 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201210001021212 its reverse (212120100012102), we get a palindrome (413330101033314).

The spelling of 201210001021212 in words is "two hundred one trillion, two hundred ten billion, one million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 467 934 1401 1868 2802 5604 8873 17746 26619 35492 36479 51803 53238 72958 103606 106476 109437 145916 155409 207212 218874 310818 437748 621636 693101 984257 1386202 1968514 2079303 2772404 2952771 3937028 4158606 5905542 8317212 11811084 17035693 24192001 34071386 48384002 51107079 68142772 72576003 96768004 102214158 145152006 204428316 290304012 323678167 459648019 647356334 919296038 971034501 1294712668 1378944057 1838592076 1889721637 1942069002 2757888114 3779443274 3884138004 5515776228 5669164911 7558886548 11338329822 22676659644 35904711103 71809422206 107714133309 143618844412 215428266618 430856533236 882500004479 1765000008958 2647500013437 3530000017916 5295000026874 10590000053748 16767500085101 33535000170202 50302500255303 67070000340404 100605000510606 201210001021212