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101897211221 = 1356713138209
BaseRepresentation
bin101111011100110001…
…1000000110101010101
3100202000101120122202222
41132321203000311111
53132141141224341
6114451054512125
710235052001361
oct1367143006525
9322011518688
10101897211221
113a23a356a63
12178b9205645
1397bb8a7b30
144d090002a1
1529b5a9644b
hex17b98c0d55

101897211221 has 8 divisors (see below), whose sum is σ = 109738187160. Its totient is φ = 94056625152.

The previous prime is 101897211187. The next prime is 101897211301. The reversal of 101897211221 is 122112798101.

It can be written as a sum of positive squares in 4 ways, for example, as 3467560996 + 98429650225 = 58886^2 + 313735^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101897211221 - 222 = 101893016917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101897211721) 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 7 ways as a sum of consecutive naturals, for example, 668165 + ... + 806373.

It is an arithmetic number, because the mean of its divisors is an integer number (13717273395).

Almost surely, 2101897211221 is an apocalyptic number.

It is an amenable number.

101897211221 is a deficient number, since it is larger than the sum of its proper divisors (7840975939).

101897211221 is a wasteful number, since it uses less digits than its factorization.

101897211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194935.

The product of its (nonzero) digits is 4032, while the sum is 35.

The spelling of 101897211221 in words is "one hundred one billion, eight hundred ninety-seven million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 13 56713 138209 737269 1796717 7838247017 101897211221