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200212012103301 = 321161109304157551
BaseRepresentation
bin101101100001011101111101…
…110111000111011010000101
3222020220002012100210211000200
4231201131331313013122011
5202220233200044301201
61545452043440401113
760112561205415042
oct5541357567073205
9866802170724020
10200212012103301
115888048a352550
121a556519916199
138793bb10bc893
1437624551941c9
151822e91d75386
hexb6177ddc7685

200212012103301 has 48 divisors (see below), whose sum is σ = 323599302723840. Its totient is φ = 118256455440000.

The previous prime is 200212012103273. The next prime is 200212012103429. The reversal of 200212012103301 is 103301210212002.

200212012103301 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 120 + 1 + 210 + 330 + 1 = 666.

It is not a de Polignac number, because 200212012103301 - 223 = 200212003714693 is a prime.

It is a super-2 number, since 2×2002120121033012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212012102301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151420525 + ... + 152737026.

It is an arithmetic number, because the mean of its divisors is an integer number (6741652140080).

Almost surely, 2200212012103301 is an apocalyptic number.

It is an amenable number.

200212012103301 is a deficient number, since it is larger than the sum of its proper divisors (123387290620539).

200212012103301 is a wasteful number, since it uses less digits than its factorization.

200212012103301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304157738 (or 304157735 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200212012103301 its reverse (103301210212002), we get a palindrome (303513222315303).

The spelling of 200212012103301 in words is "two hundred trillion, two hundred twelve billion, twelve million, one hundred three thousand, three hundred one".

Divisors: 1 3 9 11 33 61 99 109 183 327 549 671 981 1199 2013 3597 6039 6649 10791 19947 59841 73139 219417 658251 304157551 912472653 2737417959 3345733061 10037199183 18553610611 30111597549 33153173059 55660831833 99459519177 166982495499 204089716721 298378557531 364684903649 612269150163 1094054710947 1836807450489 2022343556599 3282164132841 6067030669797 18201092009391 22245779122589 66737337367767 200212012103301