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212332202001 = 322931179146609
BaseRepresentation
bin1100010110111111111…
…1000100100000010001
3202022001210111110022200
43011233333010200101
511434324020431001
6241313303553413
721224534636463
oct3055777044021
9668053443280
10212332202001
118205aaa1087
123519975b869
131703b247b1a
14a3c3c96133
1557cae65086
hex316ffc4811

212332202001 has 48 divisors (see below), whose sum is σ = 329344704000. Its totient is φ = 131524968960.

The previous prime is 212332201901. The next prime is 212332202009. The reversal of 212332202001 is 100202233212.

212332202001 is a `hidden beast` number, since 212 + 33 + 220 + 200 + 1 = 666.

212332202001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212332202001 - 214 = 212332185617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212332202009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1374985 + ... + 1521593.

It is an arithmetic number, because the mean of its divisors is an integer number (6861348000).

Almost surely, 2212332202001 is an apocalyptic number.

It is an amenable number.

212332202001 is a deficient number, since it is larger than the sum of its proper divisors (117012501999).

212332202001 is a wasteful number, since it uses less digits than its factorization.

212332202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146854 (or 146851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212332202001 its reverse (100202233212), we get a palindrome (312534435213).

The spelling of 212332202001 in words is "two hundred twelve billion, three hundred thirty-two million, two hundred two thousand, one".

Divisors: 1 3 9 29 31 87 93 179 261 279 537 899 1611 2697 5191 5549 8091 15573 16647 46719 49941 146609 160921 439827 482763 1319481 1448289 4251661 4544879 12754983 13634637 26243011 38264949 40903911 78729033 131801491 236187099 395404473 761047319 813533341 1186213419 2283141957 2440600023 6849425871 7321800069 23592466889 70777400667 212332202001