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211002322103001 = 321113318743514361
BaseRepresentation
bin101111111110011111001110…
…011101001010101011011001
31000200002121212121201210100200
4233332133032131022223121
5210124030223424244001
62024433043435452413
762305262146200552
oct5776371635125331
91020077777653320
10211002322103001
116126064500a650
121b7b97b68b7109
1390975837c6780
143a167d173d329
15195d9c4534086
hexbfe7ce74aad9

211002322103001 has 48 divisors (see below), whose sum is σ = 358066366100352. Its totient is φ = 118042657286400.

The previous prime is 211002322102889. The next prime is 211002322103101. The reversal of 211002322103001 is 100301223200112.

211002322103001 is a `hidden beast` number, since 2 + 110 + 0 + 232 + 21 + 0 + 300 + 1 = 666.

It is not a de Polignac number, because 211002322103001 - 211 = 211002322100953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211002322103101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409965061 + ... + 410479421.

It is an arithmetic number, because the mean of its divisors is an integer number (7459715960424).

Almost surely, 2211002322103001 is an apocalyptic number.

It is an amenable number.

211002322103001 is a deficient number, since it is larger than the sum of its proper divisors (147064043997351).

211002322103001 is a wasteful number, since it uses less digits than its factorization.

211002322103001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833134 (or 833131 counting only the distinct ones).

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

Adding to 211002322103001 its reverse (100301223200112), we get a palindrome (311303545303113).

The spelling of 211002322103001 in words is "two hundred eleven trillion, two billion, three hundred twenty-two million, one hundred three thousand, one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 318743 514361 956229 1543083 2868687 3506173 4143659 4629249 5657971 6686693 10518519 12430977 16973913 20060079 31555557 37292931 45580249 50921739 60180237 73553623 136740747 220660869 410222241 661982607 163948968223 491846904669 1475540714007 1803438650453 2131336586899 5410315951359 6394009760697 16230947854077 19182029282091 23444702455889 70334107367667 211002322103001