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212232203001 = 33721323536513
BaseRepresentation
bin1100010110101000000…
…1100110101011111001
3202021210211022222111000
43011222001212223321
511434122420444001
6241255332355213
721222211650300
oct3055201465371
9667724288430
10212232203001
1182009600385
1235170175b09
1317023604910
14a3b48a5437
1557c22b0a86
hex316a066af9

212232203001 has 96 divisors (see below), whose sum is σ = 411012645120. Its totient is φ = 107079211008.

The previous prime is 212232202967. The next prime is 212232203003. The reversal of 212232203001 is 100302232212.

212232203001 is a `hidden beast` number, since 21 + 22 + 322 + 0 + 300 + 1 = 666.

212232203001 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 212232203001 - 213 = 212232194809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212232203003) 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 95 ways as a sum of consecutive naturals, for example, 127321 + ... + 663833.

It is an arithmetic number, because the mean of its divisors is an integer number (4281381720).

Almost surely, 2212232203001 is an apocalyptic number.

212232203001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212232203001 is a deficient number, since it is larger than the sum of its proper divisors (198780442119).

212232203001 is a wasteful number, since it uses less digits than its factorization.

212232203001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536572 (or 536559 counting only the distinct ones).

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

Adding to 212232203001 its reverse (100302232212), we get a palindrome (312534435213).

The spelling of 212232203001 in words is "two hundred twelve billion, two hundred thirty-two million, two hundred three thousand, one".

Divisors: 1 3 7 9 13 21 23 27 39 49 63 69 91 117 147 161 189 207 273 299 351 441 483 621 637 819 897 1127 1323 1449 1911 2093 2457 2691 3381 4347 5733 6279 8073 10143 14651 17199 18837 30429 43953 56511 131859 395577 536513 1609539 3755591 4828617 6974669 11266773 12339799 14485851 20924007 26289137 33800319 37019397 48822683 62772021 78867411 86378593 101400957 111058191 146468049 160417387 188316063 236602233 259135779 333174573 341758781 439404147 481252161 604650151 709806699 777407337 1025276343 1122921709 1318212441 1443756483 1813950453 2332222011 3075829029 3368765127 4331269449 5441851359 7860451963 9227487087 10106295381 16325554077 23581355889 30318886143 70744067667 212232203001