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211401022001 = 13191013844891
BaseRepresentation
bin1100010011100001111…
…0111001101000110001
3202012122220022121111112
43010320132321220301
511430422130201001
6241041041323105
721162500016131
oct3047036715061
9665586277445
10211401022001
1181722402834
1234b79936495
1316c20355340
14a336340ac1
155774329cbb
hex31387b9a31

211401022001 has 16 divisors (see below), whose sum is σ = 239881736640. Its totient is φ = 184686194880.

The previous prime is 211401021989. The next prime is 211401022013. The reversal of 211401022001 is 100220104112.

It is a happy number.

211401022001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211401021989) and next prime (211401022013).

It is a cyclic number.

It is not a de Polignac number, because 211401022001 - 234 = 194221152817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211401022051) 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 15 ways as a sum of consecutive naturals, for example, 172235 + ... + 672656.

It is an arithmetic number, because the mean of its divisors is an integer number (14992608540).

Almost surely, 2211401022001 is an apocalyptic number.

It is an amenable number.

211401022001 is a deficient number, since it is larger than the sum of its proper divisors (28480714639).

211401022001 is a wasteful number, since it uses less digits than its factorization.

211401022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845936.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211401022001 its reverse (100220104112), we get a palindrome (311621126113).

The spelling of 211401022001 in words is "two hundred eleven billion, four hundred one million, twenty-two thousand, one".

Divisors: 1 13 19 247 1013 13169 19247 250211 844891 10983583 16052929 208688077 855874583 11126369579 16261617077 211401022001