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201332332212 = 223112661209771
BaseRepresentation
bin1011101110000001010…
…1111001011010110100
3201020200012022011200220
42323200111321122310
511244312034112322
6232254002334340
720355126405324
oct2734025713264
9636605264626
10201332332212
1178425942100
123302995a3b0
1315ca736782b
149a5d01b284
1553853ee55c
hex2ee05796b4

201332332212 has 72 divisors (see below), whose sum is σ = 517148394336. Its totient is φ = 60917208000.

The previous prime is 201332332199. The next prime is 201332332217. The reversal of 201332332212 is 212233233102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201332332217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854887 + ... + 1064657.

It is an arithmetic number, because the mean of its divisors is an integer number (7182616588).

Almost surely, 2201332332212 is an apocalyptic number.

201332332212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201332332212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258574197168).

201332332212 is an abundant number, since it is smaller than the sum of its proper divisors (315816062124).

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

201332332212 is a wasteful number, since it uses less digits than its factorization.

201332332212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210461 (or 210448 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 201332332212 its reverse (212233233102), we get a palindrome (413565565314).

The spelling of 201332332212 in words is "two hundred one billion, three hundred thirty-two million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 661 726 1322 1452 1983 2644 3966 7271 7932 14542 21813 29084 43626 79981 87252 159962 209771 239943 319924 419542 479886 629313 839084 959772 1258626 2307481 2517252 4614962 6922443 9229924 13844886 25382291 27689772 50764582 76146873 101529164 138658631 152293746 277317262 304587492 415975893 554634524 831951786 1525244941 1663903572 3050489882 4575734823 6100979764 9151469646 16777694351 18302939292 33555388702 50333083053 67110777404 100666166106 201332332212