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211221102001 = 7138926079899
BaseRepresentation
bin1100010010110111000…
…0100011110110110001
3202012012100202201122211
43010231300203312301
511430040100231001
6241011133132121
721155153513050
oct3045560436661
9665170681584
10211221102001
118163a895218
1234b2962a041
1316bc1cab9c0
14a31a4a8397
15576363a351
hex312dc23db1

211221102001 has 16 divisors (see below), whose sum is σ = 262885392000. Its totient is φ = 165242233728.

The previous prime is 211221101999. The next prime is 211221102007. The reversal of 211221102001 is 100201122112.

211221102001 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 211221102001 - 21 = 211221101999 is a prime.

It is a super-2 number, since 2×2112211020012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (211221102007) 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, 13031851 + ... + 13048048.

It is an arithmetic number, because the mean of its divisors is an integer number (16430337000).

Almost surely, 2211221102001 is an apocalyptic number.

It is an amenable number.

211221102001 is a deficient number, since it is larger than the sum of its proper divisors (51664289999).

211221102001 is a wasteful number, since it uses less digits than its factorization.

211221102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26080008.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211221102001 its reverse (100201122112), we get a palindrome (311422224113).

The spelling of 211221102001 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred two thousand, one".

Divisors: 1 7 13 89 91 623 1157 8099 26079899 182559293 339038687 2321111011 2373270809 16247777077 30174443143 211221102001